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</header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Site"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Sommaire" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Sommaire</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">déplacer vers la barre latérale</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">masquer</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Début</div> </a> </li> <li id="toc-Histoire" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Histoire"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Histoire</span> </div> </a> <button aria-controls="toc-Histoire-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Afficher / masquer la sous-section Histoire</span> </button> <ul id="toc-Histoire-sublist" class="vector-toc-list"> <li id="toc-Zéro_en_tant_qu'absence_d'élément" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Zéro_en_tant_qu'absence_d'élément"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>Zéro en tant qu'absence d'élément</span> </div> </a> <ul id="toc-Zéro_en_tant_qu'absence_d'élément-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Zéro_en_tant_que_chiffre" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Zéro_en_tant_que_chiffre"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>Zéro en tant que chiffre</span> </div> </a> <ul id="toc-Zéro_en_tant_que_chiffre-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-En_tant_que_nombre" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#En_tant_que_nombre"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.3</span> <span>En tant que nombre</span> </div> </a> <ul id="toc-En_tant_que_nombre-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Les_deux_zéros_des_Mayas" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Les_deux_zéros_des_Mayas"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.4</span> <span>Les deux zéros des Mayas</span> </div> </a> <ul id="toc-Les_deux_zéros_des_Mayas-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Perception_animale_du_nombre_zéro" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Perception_animale_du_nombre_zéro"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.5</span> <span>Perception animale du nombre zéro</span> </div> </a> <ul id="toc-Perception_animale_du_nombre_zéro-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Graphies_actuelles" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Graphies_actuelles"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Graphies actuelles</span> </div> </a> <ul id="toc-Graphies_actuelles-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Utilisations" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Utilisations"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Utilisations</span> </div> </a> <ul id="toc-Utilisations-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Le_zéro_comme_notation_des_bases_2,_8,_10,_16…" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Le_zéro_comme_notation_des_bases_2,_8,_10,_16…"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Le zéro comme notation des bases 2, 8, 10, 16…</span> </div> </a> <ul id="toc-Le_zéro_comme_notation_des_bases_2,_8,_10,_16…-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Le_zéro_comme_absence_de_quantité" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Le_zéro_comme_absence_de_quantité"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Le zéro comme absence de quantité</span> </div> </a> <ul id="toc-Le_zéro_comme_absence_de_quantité-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Propriétés_arithmétiques_et_algébriques" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Propriétés_arithmétiques_et_algébriques"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Propriétés arithmétiques et algébriques</span> </div> </a> <button aria-controls="toc-Propriétés_arithmétiques_et_algébriques-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Afficher / masquer la sous-section Propriétés arithmétiques et algébriques</span> </button> <ul id="toc-Propriétés_arithmétiques_et_algébriques-sublist" class="vector-toc-list"> <li id="toc-Usage_étendu_de_zéro_en_mathématiques" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Usage_étendu_de_zéro_en_mathématiques"> <div class="vector-toc-text"> <span class="vector-toc-numb">6.1</span> <span>Usage étendu de <i>zéro</i> en mathématiques</span> </div> </a> <ul id="toc-Usage_étendu_de_zéro_en_mathématiques-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Notes_et_références" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Notes_et_références"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Notes et références</span> </div> </a> <ul id="toc-Notes_et_références-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Voir_aussi" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Voir_aussi"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>Voir aussi</span> </div> </a> <button aria-controls="toc-Voir_aussi-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Afficher / masquer la sous-section Voir aussi</span> </button> <ul id="toc-Voir_aussi-sublist" class="vector-toc-list"> <li id="toc-Articles_connexes" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Articles_connexes"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.1</span> <span>Articles connexes</span> </div> </a> <ul id="toc-Articles_connexes-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Bibliographie" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Bibliographie"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.2</span> <span>Bibliographie</span> </div> </a> <ul id="toc-Bibliographie-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Radiographie" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Radiographie"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.3</span> <span>Radiographie</span> </div> </a> <ul id="toc-Radiographie-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Vidéographie" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Vidéographie"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.4</span> <span>Vidéographie</span> </div> </a> <ul id="toc-Vidéographie-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Sommaire" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Basculer la table des matières" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Basculer la table des matières</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Zéro</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Aller à un article dans une autre langue. Disponible en 156 langues." > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-156" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">156 langues</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ab mw-list-item"><a href="https://ab.wikipedia.org/wiki/%D0%90%D0%BD%D0%BE%D0%BB%D1%8C" title="Аноль – abkhaze" lang="ab" hreflang="ab" data-title="Аноль" data-language-autonym="Аԥсшәа" data-language-local-name="abkhaze" class="interlanguage-link-target"><span>Аԥсшәа</span></a></li><li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/0_(getal)" title="0 (getal) – afrikaans" lang="af" hreflang="af" data-title="0 (getal)" data-language-autonym="Afrikaans" data-language-local-name="afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Null" title="Null – alémanique" lang="gsw" hreflang="gsw" data-title="Null" data-language-autonym="Alemannisch" data-language-local-name="alémanique" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/0" title="0 – amharique" lang="am" hreflang="am" data-title="0" data-language-autonym="አማርኛ" data-language-local-name="amharique" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/0_(%D8%B9%D8%AF%D8%AF)" title="0 (عدد) – arabe" lang="ar" hreflang="ar" data-title="0 (عدد)" data-language-autonym="العربية" data-language-local-name="arabe" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-arc mw-list-item"><a href="https://arc.wikipedia.org/wiki/0_(%DC%A1%DC%A2%DC%9D%DC%A2%DC%90)" title="0 (ܡܢܝܢܐ) – araméen" lang="arc" hreflang="arc" data-title="0 (ܡܢܝܢܐ)" data-language-autonym="ܐܪܡܝܐ" data-language-local-name="araméen" class="interlanguage-link-target"><span>ܐܪܡܝܐ</span></a></li><li class="interlanguage-link interwiki-ary mw-list-item"><a href="https://ary.wikipedia.org/wiki/0" title="0 – arabe marocain" lang="ary" hreflang="ary" data-title="0" data-language-autonym="الدارجة" data-language-local-name="arabe marocain" class="interlanguage-link-target"><span>الدارجة</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%B6%E0%A7%82%E0%A6%A8%E0%A7%8D%E0%A6%AF" title="শূন্য – assamais" lang="as" hreflang="as" data-title="শূন্য" data-language-autonym="অসমীয়া" data-language-local-name="assamais" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Cero" title="Cero – asturien" lang="ast" hreflang="ast" data-title="Cero" data-language-autonym="Asturianu" data-language-local-name="asturien" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/0" title="0 – azerbaïdjanais" lang="az" hreflang="az" data-title="0" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaïdjanais" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%DB%B0_(%D8%B3%D8%A7%DB%8C%DB%8C)" title="۰ (سایی) – South Azerbaijani" lang="azb" hreflang="azb" data-title="۰ (سایی)" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/0_(%D2%BB%D0%B0%D0%BD)" title="0 (һан) – bachkir" lang="ba" hreflang="ba" data-title="0 (һан)" data-language-autonym="Башҡортса" data-language-local-name="bachkir" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-ban mw-list-item"><a href="https://ban.wikipedia.org/wiki/0_(angka)" title="0 (angka) – balinais" lang="ban" hreflang="ban" data-title="0 (angka)" data-language-autonym="Basa Bali" data-language-local-name="balinais" class="interlanguage-link-target"><span>Basa Bali</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/0_(%D0%BB%D1%96%D0%BA)" title="0 (лік) – biélorusse" lang="be" hreflang="be" data-title="0 (лік)" data-language-autonym="Беларуская" data-language-local-name="biélorusse" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%9D%D1%83%D0%BB%D1%8C" title="Нуль – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Нуль" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9D%D1%83%D0%BB%D0%B0" title="Нула – bulgare" lang="bg" hreflang="bg" data-title="Нула" data-language-autonym="Български" data-language-local-name="bulgare" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A7%A6_(%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE)" title="০ (সংখ্যা) – bengali" lang="bn" hreflang="bn" data-title="০ (সংখ্যা)" data-language-autonym="বাংলা" data-language-local-name="bengali" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bo mw-list-item"><a href="https://bo.wikipedia.org/wiki/%E0%BC%A0_(%E0%BD%82%E0%BE%B2%E0%BD%84%E0%BD%A6%E0%BC%8B%E0%BD%80%E0%BC%8D)" title="༠ (གྲངས་ཀ།) – tibétain" lang="bo" hreflang="bo" data-title="༠ (གྲངས་ཀ།)" data-language-autonym="བོད་ཡིག" data-language-local-name="tibétain" class="interlanguage-link-target"><span>བོད་ཡིག</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/0_(broj)" title="0 (broj) – bosniaque" lang="bs" hreflang="bs" data-title="0 (broj)" data-language-autonym="Bosanski" data-language-local-name="bosniaque" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Zero" title="Zero – catalan" lang="ca" hreflang="ca" data-title="Zero" data-language-autonym="Català" data-language-local-name="catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cdo mw-list-item"><a href="https://cdo.wikipedia.org/wiki/0" title="0 – Mindong" lang="cdo" hreflang="cdo" data-title="0" data-language-autonym="閩東語 / Mìng-dĕ̤ng-ngṳ̄" data-language-local-name="Mindong" class="interlanguage-link-target"><span>閩東語 / Mìng-dĕ̤ng-ngṳ̄</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%A0_(%DA%98%D9%85%D8%A7%D8%B1%DB%95)" title="٠ (ژمارە) – sorani" lang="ckb" hreflang="ckb" data-title="٠ (ژمارە)" data-language-autonym="کوردی" data-language-local-name="sorani" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Nula" title="Nula – tchèque" lang="cs" hreflang="cs" data-title="Nula" data-language-autonym="Čeština" data-language-local-name="tchèque" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/0" title="0 – gallois" lang="cy" hreflang="cy" data-title="0" data-language-autonym="Cymraeg" data-language-local-name="gallois" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/0_(tal)" title="0 (tal) – danois" lang="da" hreflang="da" data-title="0 (tal)" data-language-autonym="Dansk" data-language-local-name="danois" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Null" title="Null – allemand" lang="de" hreflang="de" data-title="Null" data-language-autonym="Deutsch" data-language-local-name="allemand" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/0_(%CE%B1%CF%81%CE%B9%CE%B8%CE%BC%CF%8C%CF%82)" title="0 (αριθμός) – grec" lang="el" hreflang="el" data-title="0 (αριθμός)" data-language-autonym="Ελληνικά" data-language-local-name="grec" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/0" title="0 – anglais" lang="en" hreflang="en" data-title="0" data-language-autonym="English" data-language-local-name="anglais" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Nulo" title="Nulo – espéranto" lang="eo" hreflang="eo" data-title="Nulo" data-language-autonym="Esperanto" data-language-local-name="espéranto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Cero" title="Cero – espagnol" lang="es" hreflang="es" data-title="Cero" data-language-autonym="Español" data-language-local-name="espagnol" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Null" title="Null – estonien" lang="et" hreflang="et" data-title="Null" data-language-autonym="Eesti" data-language-local-name="estonien" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Zero" title="Zero – basque" lang="eu" hreflang="eu" data-title="Zero" data-language-autonym="Euskara" data-language-local-name="basque" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B5%D9%81%D8%B1" title="صفر – persan" lang="fa" hreflang="fa" data-title="صفر" data-language-autonym="فارسی" data-language-local-name="persan" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/0_(luku)" title="0 (luku) – finnois" lang="fi" hreflang="fi" data-title="0 (luku)" data-language-autonym="Suomi" data-language-local-name="finnois" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fj mw-list-item"><a href="https://fj.wikipedia.org/wiki/Saiva" title="Saiva – fidjien" lang="fj" hreflang="fj" data-title="Saiva" data-language-autonym="Na Vosa Vakaviti" data-language-local-name="fidjien" class="interlanguage-link-target"><span>Na Vosa Vakaviti</span></a></li><li class="interlanguage-link interwiki-fo mw-list-item"><a href="https://fo.wikipedia.org/wiki/0_(tal)" title="0 (tal) – féroïen" lang="fo" hreflang="fo" data-title="0 (tal)" data-language-autonym="Føroyskt" data-language-local-name="féroïen" class="interlanguage-link-target"><span>Føroyskt</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Nol" title="Nol – frison septentrional" lang="frr" hreflang="frr" data-title="Nol" data-language-autonym="Nordfriisk" data-language-local-name="frison septentrional" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-fur mw-list-item"><a href="https://fur.wikipedia.org/wiki/0_(numar)" title="0 (numar) – frioulan" lang="fur" hreflang="fur" data-title="0 (numar)" data-language-autonym="Furlan" data-language-local-name="frioulan" class="interlanguage-link-target"><span>Furlan</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Cero" title="Cero – galicien" lang="gl" hreflang="gl" data-title="Cero" data-language-autonym="Galego" data-language-local-name="galicien" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gn mw-list-item"><a href="https://gn.wikipedia.org/wiki/Mba%27eve_(papaha)" title="Mba'eve (papaha) – guarani" lang="gn" hreflang="gn" data-title="Mba'eve (papaha)" data-language-autonym="Avañe'ẽ" data-language-local-name="guarani" class="interlanguage-link-target"><span>Avañe'ẽ</span></a></li><li class="interlanguage-link interwiki-gu mw-list-item"><a href="https://gu.wikipedia.org/wiki/%E0%AB%A6_(%E0%AA%B6%E0%AB%82%E0%AA%A8%E0%AB%8D%E0%AA%AF)" title="૦ (શૂન્ય) – goudjarati" lang="gu" hreflang="gu" data-title="૦ (શૂન્ય)" data-language-autonym="ગુજરાતી" data-language-local-name="goudjarati" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-gv mw-list-item"><a href="https://gv.wikipedia.org/wiki/0_(earroo)" title="0 (earroo) – mannois" lang="gv" hreflang="gv" data-title="0 (earroo)" data-language-autonym="Gaelg" data-language-local-name="mannois" class="interlanguage-link-target"><span>Gaelg</span></a></li><li class="interlanguage-link interwiki-ha mw-list-item"><a href="https://ha.wikipedia.org/wiki/0_(al%C6%99alami)" title="0 (alƙalami) – haoussa" lang="ha" hreflang="ha" data-title="0 (alƙalami)" data-language-autonym="Hausa" data-language-local-name="haoussa" class="interlanguage-link-target"><span>Hausa</span></a></li><li class="interlanguage-link interwiki-hak mw-list-item"><a href="https://hak.wikipedia.org/wiki/0" title="0 – hakka" lang="hak" hreflang="hak" data-title="0" data-language-autonym="客家語 / Hak-kâ-ngî" data-language-local-name="hakka" class="interlanguage-link-target"><span>客家語 / Hak-kâ-ngî</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/0_(%D7%9E%D7%A1%D7%A4%D7%A8)" title="0 (מספר) – hébreu" lang="he" hreflang="he" data-title="0 (מספר)" data-language-autonym="עברית" data-language-local-name="hébreu" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B6%E0%A5%82%E0%A4%A8%E0%A5%8D%E0%A4%AF" title="शून्य – hindi" lang="hi" hreflang="hi" data-title="शून्य" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Nula" title="Nula – croate" lang="hr" hreflang="hr" data-title="Nula" data-language-autonym="Hrvatski" data-language-local-name="croate" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/0_(nonm)" title="0 (nonm) – créole haïtien" lang="ht" hreflang="ht" data-title="0 (nonm)" data-language-autonym="Kreyòl ayisyen" data-language-local-name="créole haïtien" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/0_(sz%C3%A1m)" title="0 (szám) – hongrois" lang="hu" hreflang="hu" data-title="0 (szám)" data-language-autonym="Magyar" data-language-local-name="hongrois" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/0_(%D5%A9%D5%AB%D5%BE)" title="0 (թիվ) – arménien" lang="hy" hreflang="hy" data-title="0 (թիվ)" data-language-autonym="Հայերեն" data-language-local-name="arménien" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/0_(numero)" title="0 (numero) – interlingua" lang="ia" hreflang="ia" data-title="0 (numero)" data-language-autonym="Interlingua" data-language-local-name="interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/0_(angka)" title="0 (angka) – indonésien" lang="id" hreflang="id" data-title="0 (angka)" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonésien" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ig mw-list-item"><a href="https://ig.wikipedia.org/wiki/0_(%C3%93n%C3%BA%E1%BB%8Dg%E1%BB%A5g%E1%BB%A5)" title="0 (Ónúọgụgụ) – igbo" lang="ig" hreflang="ig" data-title="0 (Ónúọgụgụ)" data-language-autonym="Igbo" data-language-local-name="igbo" class="interlanguage-link-target"><span>Igbo</span></a></li><li class="interlanguage-link interwiki-ik mw-list-item"><a href="https://ik.wikipedia.org/wiki/Kisitchisa%C4%A1vik" title="Kisitchisaġvik – inupiaq" lang="ik" hreflang="ik" data-title="Kisitchisaġvik" data-language-autonym="Iñupiatun" data-language-local-name="inupiaq" class="interlanguage-link-target"><span>Iñupiatun</span></a></li><li class="interlanguage-link interwiki-inh mw-list-item"><a href="https://inh.wikipedia.org/wiki/%D0%9A%D3%80%D0%BE%D0%BB%D1%85" title="КӀолх – ingouche" lang="inh" hreflang="inh" data-title="КӀолх" data-language-autonym="ГӀалгӀай" data-language-local-name="ingouche" class="interlanguage-link-target"><span>ГӀалгӀай</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Zero" title="Zero – ido" lang="io" hreflang="io" data-title="Zero" data-language-autonym="Ido" data-language-local-name="ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/N%C3%BAll" title="Núll – islandais" lang="is" hreflang="is" data-title="Núll" data-language-autonym="Íslenska" data-language-local-name="islandais" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/0_(numero)" title="0 (numero) – italien" lang="it" hreflang="it" data-title="0 (numero)" data-language-autonym="Italiano" data-language-local-name="italien" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/0" title="0 – japonais" lang="ja" hreflang="ja" data-title="0" data-language-autonym="日本語" data-language-local-name="japonais" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/0_(%E1%83%A0%E1%83%98%E1%83%AA%E1%83%AE%E1%83%95%E1%83%98)" title="0 (რიცხვი) – géorgien" lang="ka" hreflang="ka" data-title="0 (რიცხვი)" data-language-autonym="ქართული" data-language-local-name="géorgien" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kcg mw-list-item"><a href="https://kcg.wikipedia.org/wiki/0" title="0 – tyap" lang="kcg" hreflang="kcg" data-title="0" data-language-autonym="Tyap" data-language-local-name="tyap" class="interlanguage-link-target"><span>Tyap</span></a></li><li class="interlanguage-link interwiki-kge mw-list-item"><a href="https://kge.wikipedia.org/wiki/0" title="0 – Komering" lang="kge" hreflang="kge" data-title="0" data-language-autonym="Kumoring" data-language-local-name="Komering" class="interlanguage-link-target"><span>Kumoring</span></a></li><li class="interlanguage-link interwiki-ki mw-list-item"><a href="https://ki.wikipedia.org/wiki/K%C4%A9b%C5%A9g%C5%A9_(mathabu)" title="Kĩbũgũ (mathabu) – kikuyu" lang="ki" hreflang="ki" data-title="Kĩbũgũ (mathabu)" data-language-autonym="Gĩkũyũ" data-language-local-name="kikuyu" class="interlanguage-link-target"><span>Gĩkũyũ</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/0_(%D1%81%D0%B0%D0%BD)" title="0 (сан) – kazakh" lang="kk" hreflang="kk" data-title="0 (сан)" data-language-autonym="Қазақша" data-language-local-name="kazakh" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-km mw-list-item"><a href="https://km.wikipedia.org/wiki/%E1%9F%A0" title="០ – khmer" lang="km" hreflang="km" data-title="០" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="khmer" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%B8%E0%B3%8A%E0%B2%A8%E0%B3%8D%E0%B2%A8%E0%B3%86" title="ಸೊನ್ನೆ – kannada" lang="kn" hreflang="kn" data-title="ಸೊನ್ನೆ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="kannada" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/0" title="0 – coréen" lang="ko" hreflang="ko" data-title="0" data-language-autonym="한국어" data-language-local-name="coréen" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ks mw-list-item"><a href="https://ks.wikipedia.org/wiki/0_(%DA%AF%D8%B1%D9%8E%D9%9B%D9%86%D9%9B%D8%AF)" title="0 (گرَٛنٛد) – cachemiri" lang="ks" hreflang="ks" data-title="0 (گرَٛنٛد)" data-language-autonym="कॉशुर / کٲشُر" data-language-local-name="cachemiri" class="interlanguage-link-target"><span>कॉशुर / کٲشُر</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Sifir_(hejmar)" title="Sifir (hejmar) – kurde" lang="ku" hreflang="ku" data-title="Sifir (hejmar)" data-language-autonym="Kurdî" data-language-local-name="kurde" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%9D%D3%A9%D0%BB" title="Нөл – kirghize" lang="ky" hreflang="ky" data-title="Нөл" data-language-autonym="Кыргызча" data-language-local-name="kirghize" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/0" title="0 – latin" lang="la" hreflang="la" data-title="0" data-language-autonym="Latina" data-language-local-name="latin" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lbe mw-list-item"><a href="https://lbe.wikipedia.org/wiki/%D0%9D%D0%BE%D0%BB%D1%8C" title="Ноль – Lak" lang="lbe" hreflang="lbe" data-title="Ноль" data-language-autonym="Лакку" data-language-local-name="Lak" class="interlanguage-link-target"><span>Лакку</span></a></li><li class="interlanguage-link interwiki-lg mw-list-item"><a href="https://lg.wikipedia.org/wiki/Zeero" title="Zeero – ganda" lang="lg" hreflang="lg" data-title="Zeero" data-language-autonym="Luganda" data-language-local-name="ganda" class="interlanguage-link-target"><span>Luganda</span></a></li><li class="interlanguage-link interwiki-li mw-list-item"><a href="https://li.wikipedia.org/wiki/N%C3%B3l" title="Nól – limbourgeois" lang="li" hreflang="li" data-title="Nól" data-language-autonym="Limburgs" data-language-local-name="limbourgeois" class="interlanguage-link-target"><span>Limburgs</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/N%C3%BCmar_0" title="Nümar 0 – lombard" lang="lmo" hreflang="lmo" data-title="Nümar 0" data-language-autonym="Lombard" data-language-local-name="lombard" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-ln mw-list-item"><a href="https://ln.wikipedia.org/wiki/Lib%C3%BAng%C3%BAtul%C3%BA" title="Libúngútulú – lingala" lang="ln" hreflang="ln" data-title="Libúngútulú" data-language-autonym="Lingála" data-language-local-name="lingala" class="interlanguage-link-target"><span>Lingála</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/0_(skai%C4%8Dius)" title="0 (skaičius) – lituanien" lang="lt" hreflang="lt" data-title="0 (skaičius)" data-language-autonym="Lietuvių" data-language-local-name="lituanien" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Nulle" title="Nulle – letton" lang="lv" hreflang="lv" data-title="Nulle" data-language-autonym="Latviešu" data-language-local-name="letton" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mai mw-list-item"><a href="https://mai.wikipedia.org/wiki/%E0%A4%B6%E0%A5%82%E0%A4%A8%E0%A5%8D%E0%A4%AF" title="शून्य – maïthili" lang="mai" hreflang="mai" data-title="शून्य" data-language-autonym="मैथिली" data-language-local-name="maïthili" class="interlanguage-link-target"><span>मैथिली</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/0_(%D0%B1%D1%80%D0%BE%D1%98)" title="0 (број) – macédonien" lang="mk" hreflang="mk" data-title="0 (број)" data-language-autonym="Македонски" data-language-local-name="macédonien" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%AA%E0%B5%82%E0%B4%9C%E0%B5%8D%E0%B4%AF%E0%B4%82" title="പൂജ്യം – malayalam" lang="ml" hreflang="ml" data-title="പൂജ്യം" data-language-autonym="മലയാളം" data-language-local-name="malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mni mw-list-item"><a href="https://mni.wikipedia.org/wiki/%EA%AF%B0" title="꯰ – manipuri" lang="mni" hreflang="mni" data-title="꯰" data-language-autonym="ꯃꯤꯇꯩ ꯂꯣꯟ" data-language-local-name="manipuri" class="interlanguage-link-target"><span>ꯃꯤꯇꯩ ꯂꯣꯟ</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A5%A6_(%E0%A4%B8%E0%A4%82%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BE)" title="० (संख्या) – marathi" lang="mr" hreflang="mr" data-title="० (संख्या)" data-language-autonym="मराठी" data-language-local-name="marathi" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/0_(nombor)" title="0 (nombor) – malais" lang="ms" hreflang="ms" data-title="0 (nombor)" data-language-autonym="Bahasa Melayu" data-language-local-name="malais" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%81%80" title="၀ – birman" lang="my" hreflang="my" data-title="၀" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="birman" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-myv mw-list-item"><a href="https://myv.wikipedia.org/wiki/%D0%A7%D0%B0%D0%B2%D0%BE" title="Чаво – erzya" lang="myv" hreflang="myv" data-title="Чаво" data-language-autonym="Эрзянь" data-language-local-name="erzya" class="interlanguage-link-target"><span>Эрзянь</span></a></li><li class="interlanguage-link interwiki-mzn mw-list-item"><a href="https://mzn.wikipedia.org/wiki/%DB%B0" title="۰ – mazandérani" lang="mzn" hreflang="mzn" data-title="۰" data-language-autonym="مازِرونی" data-language-local-name="mazandérani" class="interlanguage-link-target"><span>مازِرونی</span></a></li><li class="interlanguage-link interwiki-nap mw-list-item"><a href="https://nap.wikipedia.org/wiki/Zero" title="Zero – napolitain" lang="nap" hreflang="nap" data-title="Zero" data-language-autonym="Napulitano" data-language-local-name="napolitain" class="interlanguage-link-target"><span>Napulitano</span></a></li><li class="interlanguage-link interwiki-nds-nl mw-list-item"><a href="https://nds-nl.wikipedia.org/wiki/0_(getal)" title="0 (getal) – bas-saxon néerlandais" lang="nds-NL" hreflang="nds-NL" data-title="0 (getal)" data-language-autonym="Nedersaksies" data-language-local-name="bas-saxon néerlandais" class="interlanguage-link-target"><span>Nedersaksies</span></a></li><li class="interlanguage-link interwiki-new mw-list-item"><a href="https://new.wikipedia.org/wiki/%E0%A4%B6%E0%A5%82%E0%A4%A8%E0%A5%8D%E0%A4%AF" title="शून्य – newari" lang="new" hreflang="new" data-title="शून्य" data-language-autonym="नेपाल भाषा" data-language-local-name="newari" class="interlanguage-link-target"><span>नेपाल भाषा</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/0_(getal)" title="0 (getal) – néerlandais" lang="nl" hreflang="nl" data-title="0 (getal)" data-language-autonym="Nederlands" data-language-local-name="néerlandais" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/0" title="0 – norvégien nynorsk" lang="nn" hreflang="nn" data-title="0" data-language-autonym="Norsk nynorsk" data-language-local-name="norvégien nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/0_(tall)" title="0 (tall) – norvégien bokmål" lang="nb" hreflang="nb" data-title="0 (tall)" data-language-autonym="Norsk bokmål" data-language-local-name="norvégien bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nov mw-list-item"><a href="https://nov.wikipedia.org/wiki/Sero" title="Sero – novial" lang="nov" hreflang="nov" data-title="Sero" data-language-autonym="Novial" data-language-local-name="novial" class="interlanguage-link-target"><span>Novial</span></a></li><li class="interlanguage-link interwiki-nso mw-list-item"><a href="https://nso.wikipedia.org/wiki/0_(nomoro)" title="0 (nomoro) – sotho du Nord" lang="nso" hreflang="nso" data-title="0 (nomoro)" data-language-autonym="Sesotho sa Leboa" data-language-local-name="sotho du Nord" class="interlanguage-link-target"><span>Sesotho sa Leboa</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/0_(nombre)" title="0 (nombre) – occitan" lang="oc" hreflang="oc" data-title="0 (nombre)" data-language-autonym="Occitan" data-language-local-name="occitan" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/0" title="0 – oromo" lang="om" hreflang="om" data-title="0" data-language-autonym="Oromoo" data-language-local-name="oromo" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-or mw-list-item"><a href="https://or.wikipedia.org/wiki/%E0%AD%A6_(%E0%AC%B8%E0%AC%82%E0%AC%96%E0%AD%8D%E0%AD%9F%E0%AC%BE)" title="୦ (ସଂଖ୍ୟା) – odia" lang="or" hreflang="or" data-title="୦ (ସଂଖ୍ୟା)" data-language-autonym="ଓଡ଼ିଆ" data-language-local-name="odia" class="interlanguage-link-target"><span>ଓଡ଼ିଆ</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%B8%E0%A8%BF%E0%A8%AB%E0%A8%BC%E0%A8%B0" title="ਸਿਫ਼ਰ – pendjabi" lang="pa" hreflang="pa" data-title="ਸਿਫ਼ਰ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="pendjabi" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/0" title="0 – polonais" lang="pl" hreflang="pl" data-title="0" data-language-autonym="Polski" data-language-local-name="polonais" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D8%B5%D9%81%D8%B1" title="صفر – Western Punjabi" lang="pnb" hreflang="pnb" data-title="صفر" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%DB%B0" title="۰ – pachto" lang="ps" hreflang="ps" data-title="۰" data-language-autonym="پښتو" data-language-local-name="pachto" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/0_(n%C3%BAmero)" title="0 (número) – portugais" lang="pt" hreflang="pt" data-title="0 (número)" data-language-autonym="Português" data-language-local-name="portugais" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-qu mw-list-item"><a href="https://qu.wikipedia.org/wiki/Ch%27usaq_yupay" title="Ch'usaq yupay – quechua" lang="qu" hreflang="qu" data-title="Ch'usaq yupay" data-language-autonym="Runa Simi" data-language-local-name="quechua" class="interlanguage-link-target"><span>Runa Simi</span></a></li><li class="interlanguage-link interwiki-rn mw-list-item"><a href="https://rn.wikipedia.org/wiki/Ubusa" title="Ubusa – roundi" lang="rn" hreflang="rn" data-title="Ubusa" data-language-autonym="Ikirundi" data-language-local-name="roundi" class="interlanguage-link-target"><span>Ikirundi</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/0_(cifr%C4%83)" title="0 (cifră) – roumain" lang="ro" hreflang="ro" data-title="0 (cifră)" data-language-autonym="Română" data-language-local-name="roumain" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9D%D0%BE%D0%BB%D1%8C" title="Ноль – russe" lang="ru" hreflang="ru" data-title="Ноль" data-language-autonym="Русский" data-language-local-name="russe" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-rue mw-list-item"><a href="https://rue.wikipedia.org/wiki/0_(%D1%87%D0%B8%D1%81%D0%BB%D0%BE)" title="0 (число) – ruthène" lang="rue" hreflang="rue" data-title="0 (число)" data-language-autonym="Русиньскый" data-language-local-name="ruthène" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-rw mw-list-item"><a href="https://rw.wikipedia.org/wiki/Ubusa" title="Ubusa – kinyarwanda" lang="rw" hreflang="rw" data-title="Ubusa" data-language-autonym="Ikinyarwanda" data-language-local-name="kinyarwanda" class="interlanguage-link-target"><span>Ikinyarwanda</span></a></li><li class="interlanguage-link interwiki-sa mw-list-item"><a href="https://sa.wikipedia.org/wiki/%E0%A4%B6%E0%A5%82%E0%A4%A8%E0%A5%8D%E0%A4%AF%E0%A4%AE%E0%A5%8D_(%E0%A4%B8%E0%A4%99%E0%A5%8D%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BE)" title="शून्यम् (सङ्ख्या) – sanskrit" lang="sa" hreflang="sa" data-title="शून्यम् (सङ्ख्या)" data-language-autonym="संस्कृतम्" data-language-local-name="sanskrit" class="interlanguage-link-target"><span>संस्कृतम्</span></a></li><li class="interlanguage-link interwiki-sah mw-list-item"><a href="https://sah.wikipedia.org/wiki/%D0%9D%D1%83%D1%83%D0%BB" title="Нуул – iakoute" lang="sah" hreflang="sah" data-title="Нуул" data-language-autonym="Саха тыла" data-language-local-name="iakoute" class="interlanguage-link-target"><span>Саха тыла</span></a></li><li class="interlanguage-link interwiki-sat mw-list-item"><a href="https://sat.wikipedia.org/wiki/%E1%B1%90" title="᱐ – santali" lang="sat" hreflang="sat" data-title="᱐" data-language-autonym="ᱥᱟᱱᱛᱟᱲᱤ" data-language-local-name="santali" class="interlanguage-link-target"><span>ᱥᱟᱱᱛᱟᱲᱤ</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Zeru" title="Zeru – sicilien" lang="scn" hreflang="scn" data-title="Zeru" data-language-autonym="Sicilianu" data-language-local-name="sicilien" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://sco.wikipedia.org/wiki/0" title="0 – écossais" lang="sco" hreflang="sco" data-title="0" data-language-autonym="Scots" data-language-local-name="écossais" class="interlanguage-link-target"><span>Scots</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/0_(broj)" title="0 (broj) – serbo-croate" lang="sh" hreflang="sh" data-title="0 (broj)" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbo-croate" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-shi mw-list-item"><a href="https://shi.wikipedia.org/wiki/0_(am%E1%B8%8Dan)" title="0 (amḍan) – chleuh" lang="shi" hreflang="shi" data-title="0 (amḍan)" data-language-autonym="Taclḥit" data-language-local-name="chleuh" class="interlanguage-link-target"><span>Taclḥit</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/0" title="0 – Simple English" lang="en-simple" hreflang="en-simple" data-title="0" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/0_(%C4%8D%C3%ADslo)" title="0 (číslo) – slovaque" lang="sk" hreflang="sk" data-title="0 (číslo)" data-language-autonym="Slovenčina" data-language-local-name="slovaque" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/0" title="0 – slovène" lang="sl" hreflang="sl" data-title="0" data-language-autonym="Slovenščina" data-language-local-name="slovène" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Chipasina" title="Chipasina – shona" lang="sn" hreflang="sn" data-title="Chipasina" data-language-autonym="ChiShona" data-language-local-name="shona" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/0_(tiro)" title="0 (tiro) – somali" lang="so" hreflang="so" data-title="0 (tiro)" data-language-autonym="Soomaaliga" data-language-local-name="somali" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/0_(num%C3%ABr)" title="0 (numër) – albanais" lang="sq" hreflang="sq" data-title="0 (numër)" data-language-autonym="Shqip" data-language-local-name="albanais" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/0_(%D0%B1%D1%80%D0%BE%D1%98)" title="0 (број) – serbe" lang="sr" hreflang="sr" data-title="0 (број)" data-language-autonym="Српски / srpski" data-language-local-name="serbe" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-srn mw-list-item"><a href="https://srn.wikipedia.org/wiki/Numro_0" title="Numro 0 – sranan tongo" lang="srn" hreflang="srn" data-title="Numro 0" data-language-autonym="Sranantongo" data-language-local-name="sranan tongo" class="interlanguage-link-target"><span>Sranantongo</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/0_(tal)" title="0 (tal) – suédois" lang="sv" hreflang="sv" data-title="0 (tal)" data-language-autonym="Svenska" data-language-local-name="suédois" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Sifuri" title="Sifuri – swahili" lang="sw" hreflang="sw" data-title="Sifuri" data-language-autonym="Kiswahili" data-language-local-name="swahili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-szl mw-list-item"><a href="https://szl.wikipedia.org/wiki/0" title="0 – silésien" lang="szl" hreflang="szl" data-title="0" data-language-autonym="Ślůnski" data-language-local-name="silésien" class="interlanguage-link-target"><span>Ślůnski</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/0_(%E0%AE%8E%E0%AE%A3%E0%AF%8D)" title="0 (எண்) – tamoul" lang="ta" hreflang="ta" data-title="0 (எண்)" data-language-autonym="தமிழ்" data-language-local-name="tamoul" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%B8%E0%B1%81%E0%B0%A8%E0%B1%8D%E0%B0%A8" title="సున్న – télougou" lang="te" hreflang="te" data-title="సున్న" data-language-autonym="తెలుగు" data-language-local-name="télougou" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%A1%D0%B8%D1%84%D1%80" title="Сифр – tadjik" lang="tg" hreflang="tg" data-title="Сифр" data-language-autonym="Тоҷикӣ" data-language-local-name="tadjik" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/0" title="0 – thaï" lang="th" hreflang="th" data-title="0" data-language-autonym="ไทย" data-language-local-name="thaï" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/0_(bilang)" title="0 (bilang) – tagalog" lang="tl" hreflang="tl" data-title="0 (bilang)" data-language-autonym="Tagalog" data-language-local-name="tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/0" title="0 – turc" lang="tr" hreflang="tr" data-title="0" data-language-autonym="Türkçe" data-language-local-name="turc" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-ts mw-list-item"><a href="https://ts.wikipedia.org/wiki/Tandza" title="Tandza – tsonga" lang="ts" hreflang="ts" data-title="Tandza" data-language-autonym="Xitsonga" data-language-local-name="tsonga" class="interlanguage-link-target"><span>Xitsonga</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/0_(%D1%81%D0%B0%D0%BD)" title="0 (сан) – tatar" lang="tt" hreflang="tt" data-title="0 (сан)" data-language-autonym="Татарча / tatarça" data-language-local-name="tatar" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/0_(%D1%87%D0%B8%D1%81%D0%BB%D0%BE)" title="0 (число) – ukrainien" lang="uk" hreflang="uk" data-title="0 (число)" data-language-autonym="Українська" data-language-local-name="ukrainien" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%B5%D9%81%D8%B1_(%D8%B9%D8%AF%D8%AF)" title="صفر (عدد) – ourdou" lang="ur" hreflang="ur" data-title="صفر (عدد)" data-language-autonym="اردو" data-language-local-name="ourdou" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/0_(son)" title="0 (son) – ouzbek" lang="uz" hreflang="uz" data-title="0 (son)" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="ouzbek" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vep mw-list-item"><a href="https://vep.wikipedia.org/wiki/0_(lugu)" title="0 (lugu) – vepse" lang="vep" hreflang="vep" data-title="0 (lugu)" data-language-autonym="Vepsän kel’" data-language-local-name="vepse" class="interlanguage-link-target"><span>Vepsän kel’</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/0_(s%E1%BB%91)" title="0 (số) – vietnamien" lang="vi" hreflang="vi" data-title="0 (số)" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamien" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-vls mw-list-item"><a href="https://vls.wikipedia.org/wiki/0_(getal)" title="0 (getal) – flamand occidental" lang="vls" hreflang="vls" data-title="0 (getal)" data-language-autonym="West-Vlams" data-language-local-name="flamand occidental" class="interlanguage-link-target"><span>West-Vlams</span></a></li><li class="interlanguage-link interwiki-wa mw-list-item"><a href="https://wa.wikipedia.org/wiki/0" title="0 – wallon" lang="wa" hreflang="wa" data-title="0" data-language-autonym="Walon" data-language-local-name="wallon" class="interlanguage-link-target"><span>Walon</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/0_(ihap)" title="0 (ihap) – waray" lang="war" hreflang="war" data-title="0 (ihap)" data-language-autonym="Winaray" data-language-local-name="waray" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wo mw-list-item"><a href="https://wo.wikipedia.org/wiki/Tus" title="Tus – wolof" lang="wo" hreflang="wo" data-title="Tus" data-language-autonym="Wolof" data-language-local-name="wolof" class="interlanguage-link-target"><span>Wolof</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/0" title="0 – wu" lang="wuu" hreflang="wuu" data-title="0" data-language-autonym="吴语" data-language-local-name="wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xal mw-list-item"><a href="https://xal.wikipedia.org/wiki/0" title="0 – kalmouk" lang="xal" hreflang="xal" data-title="0" data-language-autonym="Хальмг" data-language-local-name="kalmouk" class="interlanguage-link-target"><span>Хальмг</span></a></li><li class="interlanguage-link interwiki-xh mw-list-item"><a href="https://xh.wikipedia.org/wiki/Iqanda" title="Iqanda – xhosa" lang="xh" hreflang="xh" data-title="Iqanda" data-language-autonym="IsiXhosa" data-language-local-name="xhosa" class="interlanguage-link-target"><span>IsiXhosa</span></a></li><li class="interlanguage-link interwiki-xmf mw-list-item"><a href="https://xmf.wikipedia.org/wiki/%E1%83%9C%E1%83%A3%E1%83%9A%E1%83%98" title="ნული – mingrélien" lang="xmf" hreflang="xmf" data-title="ნული" data-language-autonym="მარგალური" data-language-local-name="mingrélien" class="interlanguage-link-target"><span>მარგალური</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/0_(%D7%A0%D7%95%D7%9E%D7%A2%D7%A8)" title="0 (נומער) – yiddish" lang="yi" hreflang="yi" data-title="0 (נומער)" data-language-autonym="ייִדיש" data-language-local-name="yiddish" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-yo mw-list-item"><a href="https://yo.wikipedia.org/wiki/0_(n%E1%BB%8D%CC%81mb%C3%A0)" title="0 (nọ́mbà) – yoruba" lang="yo" hreflang="yo" data-title="0 (nọ́mbà)" data-language-autonym="Yorùbá" data-language-local-name="yoruba" class="interlanguage-link-target"><span>Yorùbá</span></a></li><li class="interlanguage-link interwiki-zgh mw-list-item"><a href="https://zgh.wikipedia.org/wiki/0_(%E2%B4%B0%E2%B5%8E%E2%B4%B9%E2%B4%B0%E2%B5%8F)" title="0 (ⴰⵎⴹⴰⵏ) – amazighe standard marocain" lang="zgh" hreflang="zgh" data-title="0 (ⴰⵎⴹⴰⵏ)" data-language-autonym="ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ" data-language-local-name="amazighe standard marocain" class="interlanguage-link-target"><span>ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/0" title="0 – chinois" lang="zh" hreflang="zh" data-title="0" data-language-autonym="中文" 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class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-zu mw-list-item"><a href="https://zu.wikipedia.org/wiki/Iqanda(inombolo)" title="Iqanda(inombolo) – zoulou" lang="zu" hreflang="zu" data-title="Iqanda(inombolo)" data-language-autonym="IsiZulu" data-language-local-name="zoulou" class="interlanguage-link-target"><span>IsiZulu</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q204#sitelinks-wikipedia" title="Modifier les liens interlangues" class="wbc-editpage">Modifier les liens</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Espaces de noms"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul 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class="mw-list-item"><a href="/w/index.php?title=Z%C3%A9ro&oldid=220427934" title="Adresse permanente de cette version de cette page"><span>Lien permanent</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Z%C3%A9ro&action=info" title="Davantage d’informations sur cette page"><span>Informations sur la page</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Sp%C3%A9cial:Citer&page=Z%C3%A9ro&id=220427934&wpFormIdentifier=titleform" title="Informations sur la manière de citer cette page"><span>Citer cette page</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Sp%C3%A9cial:UrlShortener&url=https%3A%2F%2Ffr.wikipedia.org%2Fwiki%2FZ%25C3%25A9ro"><span>Obtenir l'URL raccourcie</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Sp%C3%A9cial:QrCode&url=https%3A%2F%2Ffr.wikipedia.org%2Fwiki%2FZ%25C3%25A9ro"><span>Télécharger le code QR</span></a></li> </ul> 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class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:0_(number)" hreflang="en"><span>Wikimedia Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q204" title="Lien vers l’élément dans le dépôt de données connecté [g]" accesskey="g"><span>Élément Wikidata</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Outils de la page"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Apparence"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Apparence</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">déplacer vers la barre latérale</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">masquer</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Un article de Wikipédia, l'encyclopédie libre.</div> </div> <div id="contentSub"><div id="mw-content-subtitle"><span class="mw-redirectedfrom">(Redirigé depuis <a href="/w/index.php?title=0_(nombre)&redirect=no" class="mw-redirect" title="0 (nombre)">0 (nombre)</a>)</span></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="fr" dir="ltr"><div class="bandeau-container metadata homonymie hatnote bandeau-unicode"><div class="bandeau-cell bandeau-icone" style="display:table-cell;padding-right:0.5em"><span class="noviewer skin-invert" typeof="mw:File"><a href="/wiki/Aide:Unicode" title="Aide:Unicode"><img alt="Page d’aide sur la police de caractères Unicode" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/43/OOjs_UI_icon_language-ltr.svg/20px-OOjs_UI_icon_language-ltr.svg.png" decoding="async" width="20" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/43/OOjs_UI_icon_language-ltr.svg/30px-OOjs_UI_icon_language-ltr.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/43/OOjs_UI_icon_language-ltr.svg/40px-OOjs_UI_icon_language-ltr.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span></div><div class="bandeau-cell" style="display:table-cell;padding-right:0.5em"> <p>Cette page contient des caractères spéciaux ou non latins. S’ils s’affichent mal (<span style="font-style: normal;">▯, ?</span>, <abbr class="abbr" title="et cetera">etc.</abbr>), consultez la <a href="/wiki/Aide:Unicode" title="Aide:Unicode">page d’aide Unicode</a>. </p> </div></div> <div class="bandeau-container metadata homonymie hatnote"><div class="bandeau-cell bandeau-icone" style="display:table-cell;padding-right:0.5em"><span class="noviewer" typeof="mw:File"><a href="/wiki/Aide:Homonymie" title="Aide:Homonymie"><img alt="Page d’aide sur l’homonymie" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a9/Logo_disambig.svg/20px-Logo_disambig.svg.png" decoding="async" width="20" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a9/Logo_disambig.svg/30px-Logo_disambig.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a9/Logo_disambig.svg/40px-Logo_disambig.svg.png 2x" data-file-width="512" data-file-height="375" /></a></span></div><div class="bandeau-cell" style="display:table-cell;padding-right:0.5em"> <p>Pour les articles homonymes, voir <a href="/wiki/Z%C3%A9ro_(homonymie)" class="mw-disambig" title="Zéro (homonymie)">Zéro (homonymie)</a>. </p> </div></div> <p class="mw-empty-elt"> </p> <table class="infobox_v2 infobox infobox--frwiki noarchive"> <tbody><tr> <td colspan="2" class="entete defaut" style="background-color:#cfdfff;color:black;"><a href="/wiki/%E2%88%921_(nombre)" title="−1 (nombre)">−1</a><b> —</b>0<b>— </b><a href="/wiki/1_(nombre)" title="1 (nombre)">1</a> </td></tr> <tr><th scope="row"><a href="/wiki/Adjectif_num%C3%A9ral" class="mw-redirect" title="Adjectif numéral">Cardinal</a> </th> <td>zéro </td> </tr> <tr> <th scope="row"><a href="/wiki/Adjectif_num%C3%A9ral" class="mw-redirect" title="Adjectif numéral">Ordinal</a> </th> <td>zéroième<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite_crochet">[</span>1<span class="cite_crochet">]</span></a></sup> </td> </tr> <tr> <th colspan="2" style="padding:4px; text-align:center; background-color:#cfdfff; color:#000000">Propriétés</th></tr> <tr> <th scope="row"><a href="/wiki/D%C3%A9composition_en_produit_de_facteurs_premiers" title="Décomposition en produit de facteurs premiers">Facteurs premiers</a> </th> <td>aucun </td> </tr> <tr> <th scope="row"><a href="/wiki/Diviseur" title="Diviseur">Diviseurs</a> </th> <td>tous les entiers </td> </tr> <tr> <th scope="row"><a href="/wiki/Syst%C3%A8me_de_num%C3%A9ration" title="Système de numération">Système de numération</a> </th> <td>aucun </td> </tr> <tr> <th colspan="2" style="padding:4px; text-align:center; background-color:#cfdfff; color:#000000">Autres numérations</th></tr> <tr> <th scope="row"><a href="/wiki/Num%C3%A9ration_romaine" title="Numération romaine">Numération romaine</a> </th> <td><abbr class="abbr" title="0"><span class="romain" style="text-transform:uppercase">inexistant</span></abbr> </td> </tr> <tr> <th scope="row"><a href="/wiki/Num%C3%A9ration_chinoise" title="Numération chinoise">Numération chinoise</a> </th> <td><span class="lang-zh" lang="zh">〇, 零, 洞</span> </td> </tr> <tr> <th scope="row"><a href="/wiki/Num%C3%A9ration_arabe" class="mw-redirect" title="Numération arabe">Numération indo-arabe</a> </th> <td><span class="lang-ar" lang="ar" dir="rtl"> ٠ </span> </td> </tr> <tr> <th scope="row"><a href="/wiki/Syst%C3%A8me_binaire" title="Système binaire">Système binaire</a> </th> <td>0 </td> </tr> <tr> <th scope="row"><a href="/wiki/Syst%C3%A8me_octal" title="Système octal">Système octal</a> </th> <td>0 </td> </tr> <tr> <th scope="row"><a href="/wiki/Syst%C3%A8me_duod%C3%A9cimal" title="Système duodécimal">Système duodécimal</a> </th> <td>0 </td> </tr> <tr> <th scope="row"><a href="/wiki/Syst%C3%A8me_hexad%C3%A9cimal" title="Système hexadécimal">Système hexadécimal</a> </th> <td>0 </td> </tr> <tr> <td class="navigation-only" colspan="2" style="border-top: 2px #cfdfff solid; font-size: 80%; background:inherit; text-align: right;"><span class="plainlinks" style="float:left;"><a class="external text" href="https://fr.wikipedia.org/w/index.php?title=Z%C3%A9ro&action=edit&section=0"><span class="infodoc">modifier</span></a></span> <span typeof="mw:File"><a href="/wiki/Mod%C3%A8le:Infobox_Nombre" title="Consultez la documentation du modèle"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/38/Info_Simple.svg/12px-Info_Simple.svg.png" decoding="async" width="12" height="12" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/38/Info_Simple.svg/18px-Info_Simple.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/38/Info_Simple.svg/24px-Info_Simple.svg.png 2x" data-file-width="512" data-file-height="512" /></a></span></td> </tr> </tbody></table> <p><b>Zéro</b> est un <a href="/wiki/Chiffre" title="Chiffre">chiffre</a> et un <a href="/wiki/Nombre" title="Nombre">nombre</a>. Son nom a été emprunté en 1485 à l’italien <i>zero</i>, contraction de <i>zefiro</i>, issu du latin médiéval <i>zephirum</i>, qui représente une transcription de l’arabe <i>ṣĭfr</i> (صفر), le vide<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite_crochet">[</span>2<span class="cite_crochet">]</span></a></sup> (qui en français a également donné <i>chiffre</i>). Le zéro est noté sous forme d’une figure fermée simple : <b>0</b>. </p><p>En tant que <i>chiffre</i>, il est utilisé pour <span class="citation">« garder le rang »</span><sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite_crochet">[</span>3<span class="cite_crochet">]</span></a></sup> et marquer une position vide dans l’écriture des nombres en <a href="/wiki/Notation_positionnelle" title="Notation positionnelle">notation positionnelle</a>. </p><p>En tant que <i><a href="/wiki/Nombre" title="Nombre">nombre</a></i>, zéro est un objet <a href="/wiki/Math%C3%A9matiques" title="Mathématiques">mathématique</a> permettant d’exprimer une absence comme une quantité nulle : c'est le nombre d'éléments de l’<a href="/wiki/Ensemble_vide" title="Ensemble vide">ensemble vide</a>. Il est le plus petit des <a href="/wiki/Entiers_naturels" class="mw-redirect" title="Entiers naturels">entiers positifs ou nuls</a>. Ses propriétés arithmétiques particulières, notamment l’impossibilité de la <a href="/wiki/Division_par_z%C3%A9ro" title="Division par zéro">division par zéro</a>, impliquent parfois de traiter son cas à part. Il sépare les <a href="/wiki/Nombres_r%C3%A9els" class="mw-redirect" title="Nombres réels">nombres réels</a> en positifs et négatifs et tient lieu d’origine pour <a href="/wiki/Rep%C3%A8re_(math%C3%A9matiques)" title="Repère (mathématiques)">repérer</a> des points sur la <a href="/wiki/Droite_gradu%C3%A9e" title="Droite graduée">droite réelle</a><sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite_crochet">[</span>4<span class="cite_crochet">]</span></a></sup>. </p><p>En algèbre, 0 est souvent utilisé comme symbole pour désigner l’<a href="/wiki/%C3%89l%C3%A9ment_neutre" title="Élément neutre">élément neutre</a> pour l’addition dans la plupart des <a href="/wiki/Groupe_ab%C3%A9lien" title="Groupe abélien">groupes abéliens</a> et en particulier dans les <a href="/wiki/Anneau_unitaire" title="Anneau unitaire">anneaux</a>, <a href="/wiki/Corps_commutatif" title="Corps commutatif">corps</a>, <a href="/wiki/Espace_vectoriel" title="Espace vectoriel">espaces vectoriels</a> et <a href="/wiki/Alg%C3%A8bre_sur_un_anneau" title="Algèbre sur un anneau">algèbres</a>, parfois sous le nom d’<i>élément nul</i>. Il est aussi l'<a href="/wiki/%C3%89l%C3%A9ment_absorbant" title="Élément absorbant">élément absorbant</a> pour la multiplication. </p><p>Les <a href="/wiki/Babylone" title="Babylone">Babyloniens</a> ont utilisé les premiers, un peu plus de 200 ans <abbr class="abbr nowrap" title="avant Jésus-Christ">av. J.-C.</abbr>, une forme de chiffre zéro à l’intérieur d’un nombre (par exemple : 304) mais jamais à droite du nombre, ni à gauche. C’est l’<a href="/wiki/Inde" title="Inde">Inde</a> qui perfectionne la numération décimale. Elle n’utilise pas seulement le zéro comme notation à la manière babylonienne, mais aussi comme un nombre avec lequel opérer. La notion et la notation indienne du zéro sont ensuite empruntées par les mathématiciens <a href="/wiki/Civilisation_islamique" title="Civilisation islamique">arabes</a><sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite_crochet">[</span>5<span class="cite_crochet">]</span></a></sup> qui les ont transmises à l'Europe. </p><p>Il faut noter la place particulière des <a href="/wiki/Mayas" title="Mayas">Mayas</a>, seuls arithméticiens de l’<a href="/wiki/Antiquit%C3%A9" title="Antiquité">Antiquité</a> à définir deux zéros, l’un <a href="/wiki/Nombre_cardinal" title="Nombre cardinal">cardinal</a>, l’autre <a href="/wiki/Nombre_ordinal" title="Nombre ordinal">ordinal</a>, comme l’illustre le verso de la <a href="/wiki/Plaque_de_Leyde" title="Plaque de Leyde">plaque de Leyde</a><sup id="cite_ref-un_et_deux_6-0" class="reference"><a href="#cite_note-un_et_deux-6"><span class="cite_crochet">[</span>6<span class="cite_crochet">]</span></a></sup>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Histoire">Histoire</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Z%C3%A9ro&veaction=edit&section=1" title="Modifier la section : Histoire" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Z%C3%A9ro&action=edit&section=1" title="Modifier le code source de la section : Histoire"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Zéro_en_tant_qu'absence_d'élément"><span id="Z.C3.A9ro_en_tant_qu.27absence_d.27.C3.A9l.C3.A9ment"></span>Zéro en tant qu'absence d'élément</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Z%C3%A9ro&veaction=edit&section=2" title="Modifier la section : Zéro en tant qu'absence d'élément" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Z%C3%A9ro&action=edit&section=2" title="Modifier le code source de la section : Zéro en tant qu'absence d'élément"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>L'une des premières apparitions d'un <a href="/wiki/Symbole" title="Symbole">symbole</a> pour indiquer l'absence de tout élément se trouve dans l'<a href="/wiki/Ashtadhyayi" title="Ashtadhyayi">Ashtadhyayi</a>, traité de <a href="/wiki/Grammaire" title="Grammaire">grammaire</a> en <a href="/wiki/Sanskrit" title="Sanskrit">sanskrit</a> attribué au grammairien <a href="/wiki/Panini_(grammairien)" title="Panini (grammairien)">Pāṇini</a> et rédigé au plus tard au <abbr class="abbr" title="4ᵉ siècle"><span class="romain">IV</span><sup style="font-size:72%">e</sup></abbr> siècle <abbr class="abbr nowrap" title="avant Jésus-Christ">av. J.-C.</abbr> La plupart des formes nominales du sanskrit peuvent être représentées par des segments phonétiques réels selon la séquence <a href="/wiki/Racine_et_radical_(linguistique)" title="Racine et radical (linguistique)">racine</a> + <a href="/wiki/Suffixe_(linguistique)" title="Suffixe (linguistique)">suffixe</a> de <a href="/wiki/Th%C3%A8me_morphologique" title="Thème morphologique">thème</a> + suffixe <a href="/wiki/Flexion_(linguistique)" title="Flexion (linguistique)">flexionnel</a>. Certaines des formes nominales échappent cependant à cette règle. Ainsi le mot <i>bajham</i> (« partage ») est formé de la racine <i>bajh-</i> et du suffixe flexionnel <i>-am</i> sans faire intervenir de suffixe de thème pour sa formation. L'auteur de l'Ashtadhyayi a choisi d'indiquer son absence en la représentant par un symbole<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite_crochet">[</span>7<span class="cite_crochet">]</span></a></sup>. </p> <div class="mw-heading mw-heading3"><h3 id="Zéro_en_tant_que_chiffre"><span id="Z.C3.A9ro_en_tant_que_chiffre"></span>Zéro en tant que chiffre</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Z%C3%A9ro&veaction=edit&section=3" title="Modifier la section : Zéro en tant que chiffre" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Z%C3%A9ro&action=edit&section=3" title="Modifier le code source de la section : Zéro en tant que chiffre"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Les <a href="/wiki/Syst%C3%A8me_de_num%C3%A9ration" title="Système de numération">systèmes de numération</a> positionnels sont de bons candidats pour l'apparition du zéro en tant que chiffre. Il est ainsi apparu plusieurs fois dans ceux élaborés par différents peuples et civilisations. Le chiffre zéro n'y est cependant pas nécessaire : des civilisations comme la Chine ou la Mésopotamie s'en sont passé durant des siècles. </p><p>Dans la civilisation mésopotamienne, un système sexagésimal de position apparait dès le <a href="/wiki/XXIe_si%C3%A8cle_av._J.-C." title="XXIe siècle av. J.-C."><abbr class="abbr" title="21ᵉ siècle"><span class="romain">XXI</span><sup style="font-size:72%">e</sup></abbr> siècle <abbr class="abbr nowrap" title="avant Jésus-Christ">av. J.-C.</abbr></a><sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite_crochet">[</span>8<span class="cite_crochet">]</span></a></sup>. Ce système n'utilisait pas de zéro, ni pour indiquer l'ordre de grandeur, puisqu'ils travaillaient sur un système apparenté à la virgule flottante<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite_crochet">[</span>9<span class="cite_crochet">]</span></a></sup> ni pour indiquer une absence au sein de la numération où d'autres moyens étaient utilisés comme l'espacement<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite_crochet">[</span>10<span class="cite_crochet">]</span></a></sup>. La première apparition du zéro en <a href="/wiki/M%C3%A9sopotamie" title="Mésopotamie">Mésopotamie</a> semble remonter au <abbr class="abbr" title="3ᵉ siècle"><span class="romain">III</span><sup style="font-size:72%">e</sup></abbr> siècle <abbr class="abbr nowrap" title="avant Jésus-Christ">av. J.-C.</abbr>, à l’époque des <a href="/wiki/S%C3%A9leucides" title="Séleucides">Séleucides</a>. Il n’était cependant pas utilisé dans les calculs et ne servait que comme chiffre (marquage d’une position vide dans le système de <a href="/wiki/Num%C3%A9ration_m%C3%A9sopotamienne" title="Numération mésopotamienne">numération mésopotamienne</a>)<sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite_crochet">[</span>11<span class="cite_crochet">]</span></a></sup>. Ignoré par les <a href="/wiki/Rome_antique" title="Rome antique">Romains</a>, il fut repris et mieux utilisé encore <a href="/wiki/Num%C3%A9ration_grecque#Le_zéro" title="Numération grecque">par les astronomes grecs</a>. </p><p>Les <a href="/wiki/%C3%89criture_oss%C3%A9caille" title="Écriture ossécaille">inscriptions sur os et écailles (jiaguwen)</a> découvertes dans la région de <a href="/wiki/Anyang" title="Anyang">Anyang</a>, dans l’actuel <a href="/wiki/Henan" title="Henan">Henan</a>, à la fin du <abbr class="abbr" title="19ᵉ siècle"><span class="romain">XIX</span><sup style="font-size:72%">e</sup></abbr> siècle, nous apprennent que, dès les <abbr class="abbr" title="14ᵉ siècle avant Jésus-Christ"><span class="romain">XIV</span><sup style="font-size:72%">e</sup></abbr> – <abbr class="abbr" title="11ᵉ siècle"><span class="romain">XI</span><sup style="font-size:72%">e</sup></abbr> siècles <abbr class="abbr nowrap" title="avant Jésus-Christ">av. J.-C.</abbr>, les Chinois utilisaient une numération décimale de type « hybride », combinant neuf signes fixes pour les unités de 1 à 9, avec des marqueurs de position particuliers pour les <a href="/wiki/10_(nombre)" title="10 (nombre)">dizaines</a>, <a href="/wiki/100_(nombre)" title="100 (nombre)">centaines</a>, <a href="/wiki/1_000_(nombre)" title="1 000 (nombre)">milliers</a> et <a href="/wiki/10_000_(nombre)" title="10 000 (nombre)">myriades</a>. Au <abbr class="abbr" title="1ᵉʳ siècle"><span class="romain">I</span><sup style="font-size:72%">er</sup></abbr> siècle <abbr class="abbr nowrap" title="avant Jésus-Christ">av. J.-C.</abbr>, en <a href="/wiki/Histoire_de_la_Chine" title="Histoire de la Chine">Chine antique</a>, la numération à l'aide de <i><a href="/wiki/Baguettes_%C3%A0_calculer" title="Baguettes à calculer">baguettes à calculer</a></i> utilise des espaces entre les chiffres pour représenter les zéros.<sup class="need_ref_tag" style="padding-left:2px;"><a href="/wiki/Aide:R%C3%A9f%C3%A9rence_n%C3%A9cessaire" title="Aide:Référence nécessaire">[<abbr class="abbr" title="référence">réf.</abbr> souhaitée]</a></sup> Le zéro s'y rencontre tardivement probablement sous influence babylonienne ou grecque<sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite_crochet">[</span>12<span class="cite_crochet">]</span></a></sup>. </p><p>Une autre présence concerne le système dont nous sommes toujours héritiers, apparue vraisemblablement dans le monde indien au <abbr class="abbr" title="3ᵉ siècle"><span class="romain">III</span><sup style="font-size:72%">e</sup></abbr> siècle ou même avant<sup id="cite_ref-13" class="reference"><a href="#cite_note-13"><span class="cite_crochet">[</span>13<span class="cite_crochet">]</span></a></sup>. La première trace écrite conservée du 0 se trouverait dans le <a href="/wiki/Manuscrit_de_Bakhshali" title="Manuscrit de Bakhshali">manuscrit de Bakhshali</a> (<abbr class="abbr" title="Troisième"><span class="romain">III</span><sup style="font-size:72%">e</sup></abbr> ou <span class="nowrap"><abbr class="abbr" title="4ᵉ siècle"><span class="romain">IV</span><sup style="font-size:72%">e</sup></abbr> siècle <abbr class="abbr nowrap" title="après Jésus-Christ">apr. J.-C.</abbr></span>)<sup id="cite_ref-14" class="reference"><a href="#cite_note-14"><span class="cite_crochet">[</span>14<span class="cite_crochet">]</span></a></sup>. </p><p>L'utilisation d'un zéro positionnel est également avéré dans le système de <a href="/wiki/Num%C3%A9ration_maya" title="Numération maya">numération maya</a>, au <abbr class="abbr" title="4ᵉ siècle"><span class="romain">IV</span><sup style="font-size:72%">e</sup></abbr> siècle, qui dispose en outre d'un zéro ordinal<sup id="cite_ref-15" class="reference"><a href="#cite_note-15"><span class="cite_crochet">[</span>15<span class="cite_crochet">]</span></a></sup>. </p> <div class="mw-heading mw-heading3"><h3 id="En_tant_que_nombre">En tant que nombre</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Z%C3%A9ro&veaction=edit&section=4" title="Modifier la section : En tant que nombre" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Z%C3%A9ro&action=edit&section=4" title="Modifier le code source de la section : En tant que nombre"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Son usage moderne, à la fois comme chiffre et comme nombre, est hérité de l’invention indienne des chiffres <a href="/wiki/Num%C3%A9ration_indienne" title="Numération indienne">nagari</a> vers le <abbr class="abbr" title="5ᵉ siècle"><span class="romain">V</span><sup style="font-size:72%">e</sup></abbr> siècle. Le mot indien désignant le zéro était <i>śūnya</i> (<i>çûnya</i>), qui signifie « vide », « espace » ou « vacant ». Le mathématicien et astronome indien <a href="/wiki/Brahmagupta" title="Brahmagupta">Brahmagupta</a> est le premier à définir le zéro dans son ouvrage <a href="/wiki/Brahmasphutasiddhanta" title="Brahmasphutasiddhanta">Brâhma Siddhânta</a>. Ce mot, d'abord traduit en <a href="/wiki/Arabe" title="Arabe">arabe</a> par « ṣifr », ce qui signifie « vide » et « grain », a ensuite donné en français les mots <a href="/wiki/Chiffre" title="Chiffre">chiffre</a> et zéro (de par la traduction de <i>sifr</i> en l’italien <i>zephiro</i>, à partir duquel a été formé <i>zevero</i> qui est devenu <i>zero</i>). <span class="need_ref" title="Ce passage nécessite une référence." style="cursor:help;">La graphie du zéro, d’abord un cercle, est inspirée de la représentation de la voûte céleste</span><sup class="need_ref_tag" style="padding-left:2px;"><a href="/wiki/Aide:R%C3%A9f%C3%A9rence_n%C3%A9cessaire" title="Aide:Référence nécessaire">[réf. nécessaire]</a></sup>. </p><p>Comme l’indique l’<a href="/wiki/%C3%89tymologie" title="Étymologie">étymologie</a>, son introduction en <a href="/wiki/Occident" title="Occident">Occident</a> est consécutive à la traduction de <a href="/wiki/Math%C3%A9matiques_arabes" title="Mathématiques arabes">mathématiques arabes</a>, notamment les travaux d’<a href="/wiki/Al-Khw%C3%A2rizm%C3%AE" title="Al-Khwârizmî">al-Khwârizmî</a>, vers le <abbr class="abbr" title="8ᵉ siècle"><span class="romain">VIII</span><sup style="font-size:72%">e</sup></abbr> siècle. En 976, <a href="/wiki/Muhammad_ibn_Ahmad_al-Khwarizmi" title="Muhammad ibn Ahmad al-Khwarizmi">Muhammad Ibn Ahmad al-Khwarizmi</a>, dans ses <i>Clés des Sciences</i> suggère — si aucun nombre n'apparait à la place des dizaines — d'employer un petit cercle pour <span class="citation">« garder le rang »</span><sup id="cite_ref-16" class="reference"><a href="#cite_note-16"><span class="cite_crochet">[</span>16<span class="cite_crochet">]</span></a></sup>. </p><p>Les chiffres indiens sont importés d’<a href="/wiki/Espagne" title="Espagne">Espagne</a> en Europe chrétienne aux environs de l’<a href="/wiki/1000" title="1000">an mil</a>. Cette introduction a souvent été attribuée à Gerbert d’Aurillac, devenu pape sous le nom de <a href="/wiki/Sylvestre_II" title="Sylvestre II"><span class="nowrap">Sylvestre <abbr class="abbr" title="2"><span class="romain" style="text-transform:uppercase">II</span></abbr></span></a>. Il est cependant douteux qu'il en ait véritablement été le responsable. Dans tous les cas, le zéro n'est pas encore couramment utilisé en Europe chrétienne, les chiffres indiens servant surtout à marquer les jetons d’<a href="/wiki/Abaque_(calcul)" title="Abaque (calcul)">abaque</a> de 1 à 9<sup id="cite_ref-17" class="reference"><a href="#cite_note-17"><span class="cite_crochet">[</span>17<span class="cite_crochet">]</span></a></sup>. </p><p><a href="/wiki/Leonardo_Fibonacci" title="Leonardo Fibonacci">Leonardo Fibonacci</a> a une influence déterminante. Il reste plusieurs années à <a href="/wiki/B%C3%A9ja%C3%AFa" title="Béjaïa">Béjaïa</a>, au <a href="/wiki/Maghreb_central" title="Maghreb central">Maghreb central</a> (actuelle <a href="/wiki/Alg%C3%A9rie" title="Algérie">Algérie</a>), et étudie auprès d’un professeur local. Il voyage également en <a href="/wiki/Gr%C3%A8ce" title="Grèce">Grèce</a>, en <a href="/wiki/%C3%89gypte" title="Égypte">Égypte</a>, dans le <a href="/wiki/Proche-Orient" title="Proche-Orient">Proche-Orient</a> et confirme l’avis de <a href="/wiki/Sylvestre_II" title="Sylvestre II"><span class="nowrap">Sylvestre <abbr class="abbr" title="2"><span class="romain" style="text-transform:uppercase">II</span></abbr></span></a> sur les avantages de la <i>numération de position</i>. En 1202, il publie le <i><a href="/wiki/Liber_abaci" title="Liber abaci">Liber abaci</a></i>, recueil qui rassemble pratiquement toutes les connaissances mathématiques de l’époque et qui, malgré son nom, enseigne à calculer sans <a href="/wiki/Abaque_(calcul)" title="Abaque (calcul)">abaque</a>. </p><p>Dans son ouvrage <i>Zéro, la biographie d'une idée dangereuse</i>, <a href="/wiki/Charles_Seife" title="Charles Seife">Charles Seife</a> explique en quoi le zéro a permis la compréhension de nombreux concepts dans plusieurs domaines en plus des mathématiques, notamment la <a href="/wiki/Thermodynamique" title="Thermodynamique">thermodynamique</a> et la <a href="/wiki/M%C3%A9canique_quantique" title="Mécanique quantique">mécanique quantique</a> ; entre autres, les travaux de <a href="/wiki/Isaac_Newton" title="Isaac Newton">Isaac Newton</a>, <a href="/wiki/Gottfried_Wilhelm_Leibniz" title="Gottfried Wilhelm Leibniz">Gottfried Wilhelm Leibniz</a>, <a href="/wiki/Richard_Swineshead" title="Richard Swineshead">Richard Swineshead</a> et <a href="/wiki/Nicole_Oresme" title="Nicole Oresme">Nicole Oresme</a> à propos des suites mathématiques, lient étroitement zéro avec l'<a href="/wiki/Infini" title="Infini">infini</a>. </p> <div class="mw-heading mw-heading3"><h3 id="Les_deux_zéros_des_Mayas"><span id="Les_deux_z.C3.A9ros_des_Mayas"></span>Les deux zéros des Mayas</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Z%C3%A9ro&veaction=edit&section=5" title="Modifier la section : Les deux zéros des Mayas" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Z%C3%A9ro&action=edit&section=5" title="Modifier le code source de la section : Les deux zéros des Mayas"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="wikitable right"> <tbody><tr> <th>Signe</th> <th>Sens </th></tr> <tr> <td><span class="mw-default-size" typeof="mw:File"><a href="/wiki/Fichier:MAYA-g-num-0-inc-v1.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/14/MAYA-g-num-0-inc-v1.svg/30px-MAYA-g-num-0-inc-v1.svg.png" decoding="async" width="30" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/14/MAYA-g-num-0-inc-v1.svg/45px-MAYA-g-num-0-inc-v1.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/14/MAYA-g-num-0-inc-v1.svg/60px-MAYA-g-num-0-inc-v1.svg.png 2x" data-file-width="30" data-file-height="25" /></a></span></td> <td>0 ordinal : dates </td></tr> <tr> <td><span class="mw-default-size" typeof="mw:File"><a href="/wiki/Fichier:0_maia.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d9/0_maia.svg/50px-0_maia.svg.png" decoding="async" width="50" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d9/0_maia.svg/75px-0_maia.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d9/0_maia.svg/100px-0_maia.svg.png 2x" data-file-width="50" data-file-height="40" /></a></span></td> <td>0 cardinal : durées </td></tr></tbody></table> <div class="bandeau-container bandeau-section metadata bandeau-niveau-information"><div class="bandeau-cell bandeau-icone-css loupe">La page « <a href="/wiki/Num%C3%A9ration_maya" title="Numération maya">Numération maya</a> » comporte une section de même titre plus détaillée.</div></div> <p>Le zéro est utilisé par les <a href="/wiki/Civilisation_maya" title="Civilisation maya">Mayas</a> durant le <abbr class="abbr" title="1ᵉʳ millénaire">I<sup>er</sup></abbr> millénaire, comme chiffre dans leur système de <a href="/wiki/Notation_positionnelle" title="Notation positionnelle">numération de position</a>, comme nombre et comme ordinal dans le calendrier, où il correspond à l’introduction des mois. <a href="/wiki/Sylvanus_Morley" title="Sylvanus Morley">Sylvanus Morley</a> a confondu ces deux utilisations dans une transcription unique, négligeant le fait qu’il s’agit de deux concepts et de deux zéros différents<sup id="cite_ref-un_et_deux_6-1" class="reference"><a href="#cite_note-un_et_deux-6"><span class="cite_crochet">[</span>6<span class="cite_crochet">]</span></a></sup> : l’un correspond à un zéro ordinal des dates, l’autre est un zéro cardinal des durées<sup id="cite_ref-18" class="reference"><a href="#cite_note-18"><span class="cite_crochet">[</span>18<span class="cite_crochet">]</span></a></sup>, jamais confondus dans leurs usages par les scribes<sup id="cite_ref-19" class="reference"><a href="#cite_note-19"><span class="cite_crochet">[</span>19<span class="cite_crochet">]</span></a></sup>. </p> <div class="mw-heading mw-heading3"><h3 id="Perception_animale_du_nombre_zéro"><span id="Perception_animale_du_nombre_z.C3.A9ro"></span>Perception animale du nombre zéro</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Z%C3%A9ro&veaction=edit&section=6" title="Modifier la section : Perception animale du nombre zéro" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Z%C3%A9ro&action=edit&section=6" title="Modifier le code source de la section : Perception animale du nombre zéro"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="bandeau-container bandeau-section metadata bandeau-niveau-information"><div class="bandeau-cell bandeau-icone-css loupe">Article détaillé : <a href="/wiki/Intelligence_animale#Comptage" title="Intelligence animale">Intelligence animale#Comptage</a>.</div></div> <p>Des tests appropriés permettent d'évaluer la capacité des animaux à compter, à évaluer si un nombre est plus grand qu'un autre, et même à considérer le zéro (l'absence d'items) comme un nombre inférieur aux autres. Cette capacité a été démontrée chez les <a href="/wiki/Perroquet_jaco" title="Perroquet jaco">gris du Gabon</a><sup id="cite_ref-20" class="reference"><a href="#cite_note-20"><span class="cite_crochet">[</span>20<span class="cite_crochet">]</span></a></sup>, chez les <a href="/wiki/Macaque_rh%C3%A9sus" title="Macaque rhésus">singes rhésus</a><sup id="cite_ref-21" class="reference"><a href="#cite_note-21"><span class="cite_crochet">[</span>21<span class="cite_crochet">]</span></a></sup> et chez les <a href="/wiki/Apis_mellifera" title="Apis mellifera">abeilles domestiques</a><sup id="cite_ref-22" class="reference"><a href="#cite_note-22"><span class="cite_crochet">[</span>22<span class="cite_crochet">]</span></a></sup>. </p> <div class="mw-heading mw-heading2"><h2 id="Graphies_actuelles">Graphies actuelles</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Z%C3%A9ro&veaction=edit&section=7" title="Modifier la section : Graphies actuelles" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Z%C3%A9ro&action=edit&section=7" title="Modifier le code source de la section : Graphies actuelles"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>La graphie « 0 » n’est pas la seule utilisée dans le monde ; un certain nombre d’<a href="/wiki/Syst%C3%A8me_d%27%C3%A9criture" title="Système d'écriture">écritures</a> — particulièrement celles des langues du sous-continent indien, du sud-est asiatique et d'extrême orient — utilisent des graphies différentes. </p> <table align="center" border="0" cellspacing="0" cellpadding="2" style="background:transparent"> <tbody><tr> <td valign="top"> <table border="1" cellspacing="0" cellpadding="2" style="margin:0 0 1em 1em;border:1px #AAA solid;border-collapse:collapse;background:#F9F9F9"> <tbody><tr> <th>Écriture</th> <th>Chiffre </th></tr> <tr> <td><a 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.script-Brai .Uni,.mw-parser-output .script-Brai .UniComb,.mw-parser-output .script-Brai .UniCombDouble,.mw-parser-output .script-Brai .UniCtrlForm{font-family:"Noto Serif","Noto Serif Disp",serif,"Noto Sans Symbols2","Segoe UI Symbol","Noto Sans","Noto Sans Display","Sans Serif Collection",sans-serif}.mw-parser-output .script-Zsye .Uni,.mw-parser-output .script-Zsye .UniComb,.mw-parser-output .script-Zsye .UniCombDouble,.mw-parser-output .script-Zsye .UniCtrlForm{font-family:"Noto Serif","Noto Serif Disp",serif,"Noto Emoji","Segoe UI Emoji","Noto Sans Symbols","Segoe UI Symbol","Noto Sans","Noto Sans Display","Sans Serif Collection",sans-serif}.mw-parser-output .script-Zmth .Uni,.mw-parser-output .script-Zmth .UniComb,.mw-parser-output .script-Zmth .UniCombDouble,.mw-parser-output .script-Zmth .UniCtrlForm{font-family:"Noto Sans Math","Cambria Math","Noto Serif","Noto Serif Disp",serif,"Noto Sans Symbols","Segoe UI Symbol","Noto Sans","Noto Sans Display","Sans Serif Collection",sans-serif}.mw-parser-output .script-Zsym .Uni,.mw-parser-output .script-Zsym .UniComb,.mw-parser-output .script-Zsym .UniCombDouble,.mw-parser-output .script-Zsym .UniCtrlForm{font-family:"Noto Music","Noto Sans Symbols","Noto Sans Symbols2","Noto Sans Mono","Noto Sans Math","Cambria Math","Noto Sans","Noto Sans Display","Sans Serif Collection","Noto Serif","Noto Serif Disp",serif,"Segoe UI Symbol",sans-serif}</style><span class="Uni script-Arab" title="U+0030 ( 0 )">0</span> </td></tr> <tr> <td><a href="/wiki/Alphabet_arabe" title="Alphabet arabe">Arabe oriental</a></td> <td align="center"><span class="Uni script-Aran" title="U+0660 ( ٠ )">٠</span> </td></tr> <tr> <td><a href="/wiki/Alphabet_persan" class="mw-redirect" title="Alphabet persan">Alphabet persan</a></td> <td align="center"><span class="Uni script-Aran" title="U+06F0 ( ۰ )">۰</span> </td></tr> <tr> <td><a href="/wiki/Bengali" title="Bengali">Bengalî</a></td> <td align="center"><span class="Uni script-Beng" title="U+09E6 ( ০ )">০</span> </td></tr></tbody></table> </td> <td valign="top"> <table border="1" cellspacing="0" cellpadding="2" style="margin:0 0 1em 1em;border:1px #AAA solid;border-collapse:collapse;background:#F9F9F9"> <tbody><tr> <th>Écriture</th> <th>Chiffre </th></tr> <tr> <td><a href="/wiki/Birman_(langue)" title="Birman (langue)">Birman</a></td> <td align="center"><span class="Uni script-Mymr" title="U+1040 ( ၀ )">၀</span> </td></tr> <tr> <td><a href="/wiki/Devanagari" title="Devanagari">Devanagari</a></td> <td align="center"><span class="Uni script-Deva" title="U+0966 ( ० )">०</span> </td></tr> <tr> <td><a href="/wiki/Alphasyllabaire_gujarati" title="Alphasyllabaire gujarati">Gujarati</a></td> <td align="center"><span class="Uni script-Gujr" title="U+0AE6 ( ૦ )">૦</span> </td></tr> <tr> <td><a href="/wiki/Gurmukh%C3%AE" class="mw-redirect" title="Gurmukhî">Gurmukhî</a></td> <td align="center"><span class="Uni script-Guru" title="U+0A66 ( ੦ )">੦</span> </td></tr> <tr> <td><a href="/wiki/Kannara" class="mw-redirect" title="Kannara">Kannara</a></td> <td align="center"><span class="Uni script-Knda" title="U+0CE6 ( ೦ )">೦</span> </td></tr></tbody></table> </td> <td valign="top"> <table border="1" cellspacing="0" cellpadding="2" style="margin:0 0 1em 1em;border:1px #AAA solid;border-collapse:collapse;background:#F9F9F9"> <tbody><tr> <th>Écriture</th> <th>Chiffre </th></tr> <tr> <td><a href="/wiki/Khmer_(langue)" class="mw-redirect" title="Khmer (langue)">Khmer</a></td> <td align="center"><span class="Uni script-Khmr" title="U+0ED0 ( ໐ )">໐</span> </td></tr> <tr> <td><a href="/wiki/Malayalam" title="Malayalam">Malayalam</a></td> <td align="center"><span class="Uni script-Mlym" title="U+0D66 ( ൦ )">൦</span> </td></tr> <tr> <td><a href="/wiki/Mongol_bichig" class="mw-redirect" title="Mongol bichig">Mongol bichig</a><br /><small>et dérivées <a href="/wiki/Langues_mongoliques" title="Langues mongoliques">mongoliques</a> et <a href="/wiki/Langues_toungouses" title="Langues toungouses">toungouses</a></small></td> <td align="center"><span class="Uni script-Mong" title="U+1810 ( ᠐ )">᠐</span> </td></tr> <tr> <td><a href="/wiki/Oriya" class="mw-redirect" title="Oriya">Oriya</a></td> <td align="center"><span class="Uni script-Orya" title="U+0B66 ( ୦ )">୦</span> </td></tr> <tr> <td><a href="/wiki/Tamoul" title="Tamoul">Tamoul</a></td> <td align="center"><span class="Uni script-Taml" title="U+0BE6 ( ௦ )">௦</span> </td></tr> <tr> <td><a href="/wiki/T%C3%A9lougou" title="Télougou">Télougou</a></td> <td align="center"><span class="Uni script-Telu" title="U+0C66 ( ౦ )">౦</span> </td></tr></tbody></table> </td> <td valign="top"> <table border="1" cellspacing="0" cellpadding="2" style="margin:0 0 1em 1em;border:1px #AAA solid;border-collapse:collapse;background:#F9F9F9"> <tbody><tr> <th>Écriture</th> <th>Chiffre </th></tr> <tr> <td><a href="/wiki/Alphabet_tha%C3%AF" class="mw-redirect" title="Alphabet thaï">Thaï</a></td> <td align="center"><span class="Uni script-Thai" title="U+0E50 ( ๐ )">๐</span> </td></tr> <tr> <td><a href="/wiki/Tib%C3%A9tain" title="Tibétain">Tibétain</a></td> <td align="center"><span class="Uni script-Tibt" title="U+0F20 ( ༠ )">༠</span> </td></tr> <tr> <td><a href="/wiki/Sinogramme" class="mw-redirect" title="Sinogramme">Sinogramme</a>, version simple<sup id="cite_ref-23" class="reference"><a href="#cite_note-23"><span class="cite_crochet">[</span>23<span class="cite_crochet">]</span></a></sup></td> <td align="center"><span class="Uni script-Hans" title="U+3007 ( 〇 )">〇</span> </td></tr> <tr> <td><a href="/wiki/Sinogramme" class="mw-redirect" title="Sinogramme">Sinogramme</a>, version complexe<sup id="cite_ref-24" class="reference"><a href="#cite_note-24"><span class="cite_crochet">[</span>24<span class="cite_crochet">]</span></a></sup></td> <td align="center"><span class="Uni script-Hant" title="U+96F6 ( 零 )">零</span> </td></tr></tbody></table> </td></tr></tbody></table> <p>Voici le zéro en <a href="/wiki/Affichage_%C3%A0_sept_segments" title="Affichage à sept segments">affichage à sept segments</a> : </p> <ul class="gallery mw-gallery-traditional gauche" style="max-width: 415px;text-align: center;"> <li class="gallerybox" style="width: 75px"> <div class="thumb" style="width: 70px; height: 70px;"><span typeof="mw:File"><a href="/wiki/Fichier:7-segment_abcdef.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/49/7-segment_abcdef.svg/24px-7-segment_abcdef.svg.png" decoding="async" width="24" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/49/7-segment_abcdef.svg/36px-7-segment_abcdef.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/49/7-segment_abcdef.svg/48px-7-segment_abcdef.svg.png 2x" data-file-width="192" data-file-height="320" /></a></span></div> <div class="gallerytext"></div> </li> </ul> <p>On utilise des conventions typographiques comme le <a href="/wiki/Z%C3%A9ro_barr%C3%A9" title="Zéro barré">zéro barré ou le zéro pointé</a> afin d'éviter de confondre ce chiffre avec d'autres <a href="/wiki/Glyphe" title="Glyphe">glyphes</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Utilisations">Utilisations</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Z%C3%A9ro&veaction=edit&section=8" title="Modifier la section : Utilisations" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Z%C3%A9ro&action=edit&section=8" title="Modifier le code source de la section : Utilisations"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Il est aujourd’hui à la base du système de mesure de la <a href="/wiki/Temp%C3%A9rature" title="Température">température</a> : </p> <ul><li><span title="32 °F ou 273,2 K">0 </span><abbr class="abbr" title="degré Celsius">°C</abbr> : température du passage de l’<a href="/wiki/Eau" title="Eau">eau</a> de l’<a href="/wiki/%C3%89tat_solide" title="État solide">état solide</a> (glace) à l’<a href="/wiki/Liquide" title="Liquide">état liquide</a>, à une pression ambiante de <span title="1,013 bar ou 0,999 753 atm" style="cursor:help">1 013</span> <abbr class="abbr" title="hectopascal"><a href="/wiki/Pascal_(unit%C3%A9)" title="Pascal (unité)">hPa</a></abbr> dans le système Celsius;</li> <li><span title="−273,15 °C ou −459,67 °F" style="cursor:help">0</span> <abbr class="abbr" title="kelvin"><a href="/wiki/Kelvin" title="Kelvin">K</a></abbr> : <a href="/wiki/Z%C3%A9ro_absolu" title="Zéro absolu">zéro absolu</a>, température la plus basse possible (<span title="−459,7 °F ou 0 K">−273,15 </span><abbr class="abbr" title="degré Celsius">°C</abbr>), pour laquelle <span class="need_ref" title="Ce passage nécessite des précisions supplémentaires." style="cursor:help;">l’énergie rotationnelle</span><sup class="need_ref_tag" style="padding-left:2px;"><a href="/wiki/Aide:Pr%C3%A9ciser_un_fait" title="Aide:Préciser un fait">[Quoi ?]</a></sup>, <a href="/wiki/Vibration_mol%C3%A9culaire" title="Vibration moléculaire">vibrationnelle</a> et <a href="/wiki/%C3%89nergie_cin%C3%A9tique" title="Énergie cinétique">cinétique</a> des <a href="/wiki/Mol%C3%A9cule" title="Molécule">molécules</a> est nulle.</li></ul> <p>Il n’y a pas d’<a href="/wiki/Ann%C3%A9e_z%C3%A9ro" title="Année zéro">année zéro</a> dans le <a href="/wiki/Calendrier_gr%C3%A9gorien" title="Calendrier grégorien">calendrier grégorien</a>. En effet, l’usage du <span class="nowrap">nombre 0</span> en <a href="/wiki/Europe" title="Europe">Europe</a> est postérieur à la création de l’<a href="/wiki/%C3%88re_chr%C3%A9tienne" title="Ère chrétienne">anno Domini</a> par <a href="/wiki/Denys_le_Petit" title="Denys le Petit">Denys le Petit</a> au <abbr class="abbr" title="6ᵉ siècle"><span class="romain">VI</span><sup style="font-size:72%">e</sup></abbr> siècle. Cependant pour simplifier les calculs d’éphémérides, les <a href="/wiki/Astronome" title="Astronome">astronomes</a> définissent une <span class="nowrap">année 0</span> qui correspond à l’année <a href="/wiki/-1" class="mw-redirect" title="-1">-1</a> des historiens, l’an -1 des astronomes correspondant à l’an <a href="/wiki/-2" class="mw-redirect" title="-2">-2</a> des historiens et ainsi de suite. </p><p>C’est ainsi que le <abbr class="abbr" title="3ᵉ millénaire">III<sup>e</sup></abbr> millénaire et le <abbr class="abbr" title="21ᵉ siècle"><span class="romain">XXI</span><sup style="font-size:72%">e</sup></abbr> siècle ont commencé le <time class="nowrap" datetime="2001-01-01" data-sort-value="2001-01-01"><abbr class="abbr" title="premier">1<sup>er</sup></abbr> janvier 2001</time>. </p><p><a href="/wiki/Minuit" title="Minuit">Minuit</a> peut se noter 00:00. </p><p>Dans de nombreux <a href="/wiki/Langage_de_programmation" title="Langage de programmation">langages de programmation</a> (tels le <a href="/wiki/C_(langage)" title="C (langage)">C</a> ou le <a href="/wiki/Python_(langage)" title="Python (langage)">Python</a>), <a href="/w/index.php?title=Zero-based_numbering&action=edit&redlink=1" class="new" title="Zero-based numbering (page inexistante)">l'indexation s'effectue à partir de 0</a> <a href="https://en.wikipedia.org/wiki/Zero-based_numbering" class="extiw" title="en:Zero-based numbering"><span class="indicateur-langue" title="Article en anglais : « Zero-based numbering »">(en)</span></a> et non de <a href="/wiki/1_(nombre)" title="1 (nombre)">1</a>. La raison en est que la numérotation d’éléments stockés de façon continue dans une zone de stockage (disque, mémoire, <abbr class="abbr" title="et cetera">etc.</abbr>) se fait par décalage par rapport à une adresse de début : le premier élément est celui au début de la zone (<span class="nowrap">+ 0</span>), le second élément est le suivant (<span class="nowrap">+ 1</span>), <abbr class="abbr" title="et cetera">etc.</abbr> L'indexation à partir de 1, encore utilisée par certains logiciels (comme <a href="/wiki/MATLAB" title="MATLAB">MATLAB</a>), est la source de nombreuses erreurs de <a href="/wiki/Programmation_informatique" title="Programmation informatique">programmation</a>. </p><p><span id="Le_zéro_comme_notation_des_bases_2,_8,_10,_16..."></span> </p> <div class="mw-heading mw-heading2"><h2 id="Le_zéro_comme_notation_des_bases_2,_8,_10,_16…"><span id="Le_z.C3.A9ro_comme_notation_des_bases_2.2C_8.2C_10.2C_16.E2.80.A6"></span>Le zéro comme notation des bases 2, 8, 10, 16…</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Z%C3%A9ro&veaction=edit&section=9" title="Modifier la section : Le zéro comme notation des bases 2, 8, 10, 16…" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Z%C3%A9ro&action=edit&section=9" title="Modifier le code source de la section : Le zéro comme notation des bases 2, 8, 10, 16…"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Dans la <a href="/wiki/Syst%C3%A8me_d%C3%A9cimal" title="Système décimal">base dix</a> que l’on utilise, le <a href="/wiki/Chiffre" title="Chiffre">chiffre</a> le plus à droite indique les <a href="/wiki/1_(nombre)" title="1 (nombre)">unités</a>, le deuxième chiffre indique les dizaines, le troisième les centaines, le quatrième les milliers… </p><p>Le zéro joue donc un rôle particulier dans le <a href="/wiki/Notation_positionnelle" title="Notation positionnelle">système arithmétique positionnel</a>, quel qu’il soit du reste. </p><p>Rappelons que l’usage de la base dix, en provenance de l’Inde, s’est imposé en France par rapport à d’autres <a href="/wiki/Base_(arithm%C3%A9tique)" title="Base (arithmétique)">bases</a>, par exemple 12 et 60 qui étaient utilisées dans certaines <a href="/wiki/Civilisation" title="Civilisation">civilisations</a>, le <a href="/wiki/Syst%C3%A8me_vic%C3%A9simal" title="Système vicésimal">système vicésimal</a> ayant laissé des traces dans la langue française, et le <a href="/wiki/Syst%C3%A8me_duod%C3%A9cimal" title="Système duodécimal">système duodécimal</a> des modes de calcul chez les Britanniques. </p><p>Lorsqu’il y a des unités résiduelles, par exemple dans trente-deux (32), le chiffre des unités (2) permet de comprendre que l’autre chiffre (3) indique les <a href="/wiki/Dix" class="mw-redirect" title="Dix">dizaines</a>. </p><p>Si l’on a un nombre entier de dizaines (par exemple trois dizaines, trente), il n’y a pas d’unité résiduelle. Il faut donc un caractère qui permette de marquer que le 3 correspond aux dizaines, et ce caractère est le 0 ; c’est ainsi que l’on comprend que « 30 » signifie « trois dizaines ». </p><p>On aurait pu utiliser n’importe quel autre caractère, par exemple un point ; ainsi, deux-cent trois se noterait « 2.3 ». </p><p>L’utilisation d’un caractère « bouche-trou » remonte à la <a href="/wiki/Num%C3%A9ration_m%C3%A9sopotamienne" title="Numération mésopotamienne">numération mésopotamienne</a>, comme indiqué ci-dessus, mais il ne s’agit pas du concept d’« absence de quantité », il s’agit juste d’une commodité de notation. Dans la <a href="/wiki/Num%C3%A9ration_romaine" title="Numération romaine">numération romaine</a>, cet artifice n’est pas utile puisque les unités (<abbr class="abbr" title="1"><span class="romain" style="text-transform:uppercase">I</span></abbr>, <abbr class="abbr" title="5"><span class="romain" style="text-transform:uppercase">V</span></abbr>), les dizaines (<abbr class="abbr" title="10"><span class="romain" style="text-transform:uppercase">X</span></abbr>, <abbr class="abbr" title="50"><span class="romain" style="text-transform:uppercase">L</span></abbr>), les centaines (<abbr class="abbr" title="100"><span class="romain" style="text-transform:uppercase">C</span></abbr>, <abbr class="abbr" title="500"><span class="romain" style="text-transform:uppercase">D</span></abbr>) et les milliers (<abbr class="abbr" title="1000"><span class="romain" style="text-transform:uppercase">M</span></abbr>) sont notés avec des caractères différents. En contrepartie, la notation de nombres supérieurs à 8 999 devient problématique et les <a href="/wiki/Reconnaissance_de_formes" title="Reconnaissance de formes">reconnaissances de structures</a> pour le <a href="/wiki/Calcul_mental" title="Calcul mental">calcul mental</a> rapide bien plus pénibles. </p> <div class="mw-heading mw-heading2"><h2 id="Le_zéro_comme_absence_de_quantité"><span id="Le_z.C3.A9ro_comme_absence_de_quantit.C3.A9"></span>Le zéro comme absence de quantité</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Z%C3%A9ro&veaction=edit&section=10" title="Modifier la section : Le zéro comme absence de quantité" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Z%C3%A9ro&action=edit&section=10" title="Modifier le code source de la section : Le zéro comme absence de quantité"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Le fait d’exprimer l’<a href="/wiki/Rien" title="Rien">absence de quantité</a> par un nombre n’est pas une évidence en soi. L’absence d’un objet s’exprime par la phrase « il n’y en a pas » (ou « plus »). </p><p>Les nombres sont déjà une <a href="/wiki/Abstraction_(philosophie)" title="Abstraction (philosophie)">abstraction</a> : on ne s’intéresse pas à la qualité d’un objet, mais uniquement à sa quantité, sa dénombrabilité (le fait que des objets soient similaires mais distincts). Le zéro décrit le concept abstrait du déni ou de l'absence de quantité. </p><p>Lorsque l’on additionne ou multiplie deux nombres, on peut rationaliser l'opération comme un regroupement de deux tas d’objets semblables, deux troupeaux, etc. Cette image ne tient plus lorsque l’on manipule le zéro. </p><p>L’invention du zéro a permis l’invention des <a href="/wiki/Nombre_n%C3%A9gatif" title="Nombre négatif">nombres négatifs</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Propriétés_arithmétiques_et_algébriques"><span id="Propri.C3.A9t.C3.A9s_arithm.C3.A9tiques_et_alg.C3.A9briques"></span>Propriétés arithmétiques et algébriques</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Z%C3%A9ro&veaction=edit&section=11" title="Modifier la section : Propriétés arithmétiques et algébriques" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Z%C3%A9ro&action=edit&section=11" title="Modifier le code source de la section : Propriétés arithmétiques et algébriques"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Zéro est le premier nombre <a href="/wiki/Entier_naturel" title="Entier naturel">entier naturel</a>, dans l'ordre usuel. </p><p>Il est <a href="/wiki/Divisible" class="mw-redirect" title="Divisible">divisible</a> par tout autre <a href="/wiki/Entier_relatif" title="Entier relatif">entier relatif</a>. </p><p>Pour tout <a href="/wiki/Nombre_r%C3%A9el" title="Nombre réel">nombre réel</a> (ou <a href="/wiki/Nombre_complexe" title="Nombre complexe">complexe</a>) <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> : </p> <ul><li><span class="texhtml"><i>a</i> + 0 = 0 + <i>a</i> = <i>a</i></span> (0 est <a href="/wiki/%C3%89l%C3%A9ment_neutre" title="Élément neutre">élément neutre</a> pour l’addition) ;</li> <li><span class="texhtml"><i>a</i> × 0 = 0 × <i>a</i> = 0'</span> (0 est <a href="/wiki/%C3%89l%C3%A9ment_absorbant" title="Élément absorbant">élément absorbant</a> pour la multiplication) ;</li> <li>si <span class="texhtml"><i>a</i> ≠ 0</span> alors <span class="texhtml"><i>a</i><sup>0</sup> = 1</span> ;</li> <li><a href="/wiki/Z%C3%A9ro_puissance_z%C3%A9ro" title="Zéro puissance zéro">0<sup>0</sup></a> est considéré tantôt comme égal à 1 (en algèbre et en <a href="/wiki/Th%C3%A9orie_des_ensembles" title="Théorie des ensembles">théorie des ensembles</a>)<sup id="cite_ref-25" class="reference"><a href="#cite_note-25"><span class="cite_crochet">[</span>25<span class="cite_crochet">]</span></a></sup>, tantôt comme indéfini pour l'évaluation des limites en analyse (c’est une <a href="/wiki/Forme_ind%C3%A9termin%C3%A9e" title="Forme indéterminée">forme indéterminée</a> du calcul des <a href="/wiki/Limite_(math%C3%A9matiques)" title="Limite (mathématiques)">limites</a>) ;</li> <li>la <a href="/wiki/Factorielle#Valeur_de_0!" title="Factorielle">factorielle de 0</a> est égale à 1 ;</li> <li><span class="texhtml"><i>a</i> + (–<i>a</i>) = 0</span> ;</li> <li><span class="texhtml"><span style="display:inline-block; vertical-align:-0.5em; font-size:85%; text-align:center;"><span style="display:block; line-height:1em; margin:0 0.1em;"><i>a</i></span><span style="position:absolute;left:-10000px;top:auto;width:1px;height:1px;overflow:hidden">/</span><span style="display:block; line-height:1em; margin:0 0.1em; border-top:1px solid;">0</span></span></span> est non défini (voir article <a href="/wiki/Division_par_z%C3%A9ro" title="Division par zéro">division par zéro</a>) ;</li> <li><span class="texhtml"><span style="display:inline-block; vertical-align:-0.5em; font-size:85%; text-align:center;"><span style="display:block; line-height:1em; margin:0 0.1em;">0</span><span style="position:absolute;left:-10000px;top:auto;width:1px;height:1px;overflow:hidden">/</span><span style="display:block; line-height:1em; margin:0 0.1em; border-top:1px solid;">0</span></span></span> non défini, en remarquant toutefois que le calcul <span class="texhtml"><span style="display:inline-block; vertical-align:-0.5em; font-size:85%; text-align:center;"><span style="display:block; line-height:1em; margin:0 0.1em;"><i>dx</i></span><span style="position:absolute;left:-10000px;top:auto;width:1px;height:1px;overflow:hidden">/</span><span style="display:block; line-height:1em; margin:0 0.1em; border-top:1px solid;"><i>dy</i></span></span></span> lorsque les deux valeurs tendent vers zéro est la base du <a href="/wiki/Calcul_diff%C3%A9rentiel" title="Calcul différentiel">calcul différentiel</a> ;</li> <li>Pour tout entier <i>n</i> > 0, la <a href="/wiki/Racine_d%27un_nombre" title="Racine d'un nombre">racine n-ième</a> de 0 est égale à 0 ;</li> <li>Zéro est le seul nombre qui est à la fois réel, positif, négatif et imaginaire pur.</li></ul> <div class="mw-heading mw-heading3"><h3 id="Usage_étendu_de_zéro_en_mathématiques"><span id="Usage_.C3.A9tendu_de_z.C3.A9ro_en_math.C3.A9matiques"></span>Usage étendu de <i>zéro</i> en mathématiques</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Z%C3%A9ro&veaction=edit&section=12" title="Modifier la section : Usage étendu de zéro en mathématiques" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Z%C3%A9ro&action=edit&section=12" title="Modifier le code source de la section : Usage étendu de zéro en mathématiques"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Zéro est l’élément neutre dans un <a href="/wiki/Groupe_ab%C3%A9lien" title="Groupe abélien">groupe abélien</a> muni de la loi <span class="texhtml">+</span> ou l’élément neutre pour l’addition dans un <a href="/wiki/Anneau_unitaire" title="Anneau unitaire">anneau</a>.</li> <li>Un zéro d’une fonction est un point dans le domaine de définition de la fonction dont l’image par la fonction est zéro ; aussi appelé <a href="/wiki/Racine_d%27un_polyn%C3%B4me" title="Racine d'un polynôme">racine</a>, surtout dans le cas d’une <a href="/wiki/Fonction_polynomiale" title="Fonction polynomiale">fonction polynomiale</a>. Voir <a href="/wiki/Z%C3%A9ro_(analyse_complexe)" class="mw-redirect" title="Zéro (analyse complexe)">zéro (analyse complexe)</a>.</li> <li>En <a href="/wiki/G%C3%A9om%C3%A9trie" title="Géométrie">géométrie</a>, la <a href="/wiki/Espace_affine#Définitions_et_premières_propriétés" title="Espace affine">dimension</a> d’un <a href="/wiki/Point_(g%C3%A9om%C3%A9trie)" title="Point (géométrie)">point</a> est 0.</li> <li>En <a href="/wiki/Espace_topologique" title="Espace topologique">topologie</a>, la <a href="/wiki/Dimension_topologique" title="Dimension topologique">dimension topologique</a> de l’<a href="/wiki/Ensemble_de_Cantor" title="Ensemble de Cantor">ensemble de Cantor</a> est 0, quoiqu’il ait une <a href="/wiki/Dimension_de_Hausdorff" title="Dimension de Hausdorff">dimension de Hausdorff</a> non nulle.</li> <li>En <a href="/wiki/G%C3%A9om%C3%A9trie_analytique" title="Géométrie analytique">géométrie analytique</a>, 0 a pour nom l’<a href="/wiki/Origine" title="Origine">origine</a>, notée aussi O (un cas où l’ambiguïté est bénigne).</li> <li>Le concept de « presque impossible » en <a href="/wiki/Probabilit%C3%A9" title="Probabilité">probabilité</a>.</li> <li>Une <a href="/wiki/Fonction_nulle" title="Fonction nulle">fonction nulle</a> est une <a href="/wiki/Fonction_(math%C3%A9matiques)" title="Fonction (mathématiques)">fonction</a> qui ne prend que la valeur 0. Un <a href="/wiki/Morphisme_de_groupes" title="Morphisme de groupes">morphisme</a> nul est une fonction nulle particulière. Une fonction nulle est l’<a href="/wiki/%C3%89l%C3%A9ment_neutre" title="Élément neutre">élément neutre</a> dans un groupe additif de fonctions.</li> <li>Zéro est l’une des trois valeurs prises par la <a href="/wiki/Fonction_de_M%C3%B6bius" title="Fonction de Möbius">fonction de Möbius</a>. Appliquée à un entier <span class="texhtml"><i>x</i><sup>2</sup></span> ou <span class="texhtml"><i>x</i><sup>2</sup><i>y</i></span>, la fonction de Möbius retournera zéro.</li> <li>C’est un <a href="/wiki/Suite_de_Pell" title="Suite de Pell">nombre de Pell</a>.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Notes_et_références"><span id="Notes_et_r.C3.A9f.C3.A9rences"></span>Notes et références</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Z%C3%A9ro&veaction=edit&section=13" title="Modifier la section : Notes et références" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Z%C3%A9ro&action=edit&section=13" title="Modifier le code source de la section : Notes et références"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <div style="font-size:85%; padding-left:1.6em; margin:0.3em 0;"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> Cet article est partiellement ou en totalité issu de l’article de Wikipédia en anglais intitulé <span class="plainlinks">« <a class="external text" href="https://en.wikipedia.org/wiki/0?oldid=8245746">0</a> » <small>(<a class="external text" href="https://en.wikipedia.org/wiki/0?action=history">voir la liste des auteurs</a>)</small></span>.</div> <div class="references-small decimal" style=""><div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink noprint"><a href="#cite_ref-1">↑</a> </span><span class="reference-text">Informations <a rel="nofollow" class="external text" href="http://www.cnrtl.fr/lexicographie/zéroième/0">lexicographiques</a> et <a rel="nofollow" class="external text" href="http://www.cnrtl.fr/etymologie/zéroième/0">étymologiques</a> de « zéroième » dans le <i><a href="/wiki/Tr%C3%A9sor_de_la_langue_fran%C3%A7aise_informatis%C3%A9" title="Trésor de la langue française informatisé">Trésor de la langue française informatisé</a></i>, sur le site du <a href="/wiki/Centre_national_de_ressources_textuelles_et_lexicales" title="Centre national de ressources textuelles et lexicales">Centre national de ressources textuelles et lexicales</a>.</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink noprint"><a href="#cite_ref-2">↑</a> </span><span class="reference-text">Le Robert historique de la langue française, 1992, 1998.</span> </li> <li id="cite_note-3"><span class="mw-cite-backlink noprint"><a href="#cite_ref-3">↑</a> </span><span class="reference-text">Selon l'expression de Muhammad Ibn Ahmad dans son ouvrage <i>Les Clés des Sciences</i> rédigé en 976 et cité par JC Risler dans « La civilisation arabe », Payot, Paris, 1955.</span> </li> <li id="cite_note-4"><span class="mw-cite-backlink noprint"><a href="#cite_ref-4">↑</a> </span><span class="reference-text">Voir aussi : <a href="/wiki/Droite_r%C3%A9elle_achev%C3%A9e" title="Droite réelle achevée">Droite réelle achevée</a></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink noprint"><a href="#cite_ref-5">↑</a> </span><span class="reference-text">Pierre Germa, <i>Depuis quand ?</i>, dictionnaire des inventions. Berger-Levrault, Paris (1979), <abbr class="abbr" title="page(s)">p.</abbr> 382 <small style="line-height:1em;">(<a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/978-2-7013-0329-1" title="Spécial:Ouvrages de référence/978-2-7013-0329-1"><span class="nowrap">978-2-7013-0329-1</span></a>)</small>.</span> </li> <li id="cite_note-un_et_deux-6"><span class="mw-cite-backlink noprint">↑ <sup><a href="#cite_ref-un_et_deux_6-0">a</a> et <a href="#cite_ref-un_et_deux_6-1">b</a></sup> </span><span class="reference-text"><a href="/wiki/Andr%C3%A9_Cauty" title="André Cauty">André Cauty</a>, Jean-Michel Hoppan, <i>Et un, et deux zéros mayas</i>, in <i>Pour la science</i>, Dossier <i>mathématiques exotiques</i>, avril/juin 2005.</span> </li> <li id="cite_note-7"><span class="mw-cite-backlink noprint"><a href="#cite_ref-7">↑</a> </span><span class="reference-text"><span class="ouvrage" id="Henry_Robins1976"><span class="ouvrage" id="Robert_Henry_Robins1976">Robert Henry Robins, <cite class="italique">Brève histoire de la linguistique : de Platon à Chomsky</cite>, Paris, Editions du Seuil, <time>1976</time> <small style="line-height:1em;">(<a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/9782020044790" title="Spécial:Ouvrages de référence/9782020044790"><span class="nowrap">9782020044790</span></a> et <a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/202004479X" title="Spécial:Ouvrages de référence/202004479X"><span class="nowrap">202004479X</span></a>)</small>, <abbr class="abbr" title="pages">p.</abbr> <span class="nowrap">155-156</span><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Br%C3%A8ve+histoire+de+la+linguistique&rft.place=Paris&rft.pub=Editions+du+Seuil&rft.stitle=de+Platon+%C3%A0+Chomsky&rft.au=Robert+Henry+Robins&rft.date=1976&rft.pages=155-156&rft.isbn=9782020044790&rfr_id=info%3Asid%2Ffr.wikipedia.org%3AZ%C3%A9ro"></span></span></span></span> </li> <li id="cite_note-8"><span class="mw-cite-backlink noprint"><a href="#cite_ref-8">↑</a> </span><span class="reference-text"><span class="ouvrage" id="Robson2007"><span class="ouvrage" id="Eleanor_Robson2007"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> <a href="/wiki/Eleanor_Robson" title="Eleanor Robson">Eleanor <span class="nom_auteur">Robson</span></a>, <cite style="font-style:normal" lang="en">« Mesopotamian Mathematics »</cite>, dans <a href="/wiki/Victor_J._Katz" title="Victor J. Katz">Victor J. Katz</a>, <cite class="italique" lang="en">The Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Sourcebook</cite>, <a href="/wiki/Princeton_University_Press" title="Princeton University Press">Princeton University Press</a>, <time>2007</time> <small style="line-height:1em;">(<a rel="nofollow" class="external text" href="https://books.google.fr/books?id=3ullzl036UEC&pg=PA78">lire en ligne</a>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.btitle=The+Mathematics+of+Egypt%2C+Mesopotamia%2C+China%2C+India%2C+and+Islam%3A+A+Sourcebook&rft.atitle=Mesopotamian+Mathematics&rft.pub=Princeton+University+Press&rft.aulast=Robson&rft.aufirst=Eleanor&rft.date=2007&rft_id=https%3A%2F%2Fbooks.google.fr%2Fbooks%3Fid%3D3ullzl036UEC%26pg%3DPA78&rfr_id=info%3Asid%2Ffr.wikipedia.org%3AZ%C3%A9ro"></span></span></span> - <abbr class="abbr" title="page">p.</abbr> 78</span> </li> <li id="cite_note-9"><span class="mw-cite-backlink noprint"><a href="#cite_ref-9">↑</a> </span><span class="reference-text"><span class="ouvrage" id="Knuth1972"><span class="ouvrage" id="Donald_E._Knuth1972"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> <a href="/wiki/Donald_Knuth" title="Donald Knuth">Donald E. Knuth</a>, « <cite style="font-style:normal" lang="en">Ancient Babylonian Algorithms</cite> », <i><span class="lang-en" lang="en"><a href="/wiki/Communications_of_the_ACM" title="Communications of the ACM">Communications of the ACM</a></span></i>, <abbr class="abbr" title="volume">vol.</abbr> 15, <abbr class="abbr" title="numéro">n<sup>o</sup></abbr> 7,‎ <time class="nowrap" datetime="1972-07" data-sort-value="1972-07">juillet 1972</time>, <abbr class="abbr" title="pages">p.</abbr> <span class="nowrap">671-677</span> <small style="line-height:1em;">(<a rel="nofollow" class="external text" href="http://dl.acm.org/citation.cfm?doid=361454.361514">lire en ligne</a>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Ancient+Babylonian+Algorithms&rft.jtitle=Communications+of+the+ACM&rft.issue=7&rft.aulast=Knuth&rft.aufirst=Donald+E.&rft.date=1972-07&rft.volume=15&rft.pages=671-677&rfr_id=info%3Asid%2Ffr.wikipedia.org%3AZ%C3%A9ro"></span></span></span> - <abbr class="abbr" title="page">p.</abbr> 671.</span> </li> <li id="cite_note-10"><span class="mw-cite-backlink noprint"><a href="#cite_ref-10">↑</a> </span><span class="reference-text"><span class="ouvrage" id="Ifrah1981"><span class="ouvrage" id="Georges_Ifrah1981"><a href="/wiki/Georges_Ifrah" title="Georges Ifrah">Georges Ifrah</a>, <cite class="italique">Histoire universelle des chiffres</cite>, Paris, Seghers, <time>1981</time>, 567 <abbr class="abbr" title="pages">p.</abbr> <small style="line-height:1em;">(<a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/2-221-50205-1" title="Spécial:Ouvrages de référence/2-221-50205-1"><span class="nowrap">2-221-50205-1</span></a>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Histoire+universelle+des+chiffres&rft.place=Paris&rft.pub=Seghers&rft.aulast=Ifrah&rft.aufirst=Georges&rft.date=1981&rft.tpages=567&rft.isbn=2-221-50205-1&rfr_id=info%3Asid%2Ffr.wikipedia.org%3AZ%C3%A9ro"></span></span></span> - Réédition 1994, Éditions Laffont, <small style="line-height:1em;">(<a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/2-221-07838-1" title="Spécial:Ouvrages de référence/2-221-07838-1"><span class="nowrap">2-221-07838-1</span></a>)</small> - <abbr class="abbr" title="page">p.</abbr> 192</span> </li> <li id="cite_note-11"><span class="mw-cite-backlink noprint"><a href="#cite_ref-11">↑</a> </span><span class="reference-text"><a href="/wiki/Otto_Neugebauer" class="mw-redirect" title="Otto Neugebauer">Otto Neugebauer</a>, <a href="/wiki/The_Exact_Sciences_in_Antiquity" title="The Exact Sciences in Antiquity">Les Sciences exactes dans l’Antiquité</a>, 1969, <span class="nowrap">chapitre 1</span>. <abbr class="abbr" title="pages">p.</abbr> <span class="nowrap">20-27</span> <span class="noarchive"><a rel="nofollow" class="external text" href="//books.google.com/books?id=JVhTtVA2zr8C&pg=PA220"><i>Lire en ligne</i></a></span> sur <i><a href="/wiki/Google_Livres" title="Google Livres">Google Livres</a></i>.</span> </li> <li id="cite_note-12"><span class="mw-cite-backlink noprint"><a href="#cite_ref-12">↑</a> </span><span class="reference-text"><span class="ouvrage" id="Martzloff2006"><span class="ouvrage" id="Jean-Claude_Martzloff2006">Jean-Claude Martzloff, « <cite style="font-style:normal">Sur la trace du zéro en Chine…</cite> », <i>Les Génies de la science</i>, <abbr class="abbr" title="numéro">n<sup>o</sup></abbr> 28,‎ <time>2006</time> <small style="line-height:1em;">(<a rel="nofollow" class="external text" href="https://www.pourlascience.fr/sr/manuscrit-histoire/sur-la-trace-du-zero-en-chine-2305.php">lire en ligne</a>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Sur+la+trace+du+z%C3%A9ro+en+Chine%E2%80%A6&rft.jtitle=Les+G%C3%A9nies+de+la+science&rft.issue=28&rft.aulast=Martzloff&rft.aufirst=Jean-Claude&rft.date=2006&rfr_id=info%3Asid%2Ffr.wikipedia.org%3AZ%C3%A9ro"></span></span></span></span> </li> <li id="cite_note-13"><span class="mw-cite-backlink noprint"><a href="#cite_ref-13">↑</a> </span><span class="reference-text"><span class="ouvrage" id="Plofker2007"><span class="ouvrage" id="Kim_Plofker2007"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> <a href="/wiki/Kim_Plofker" title="Kim Plofker">Kim Plofker</a>, <cite style="font-style:normal" lang="en">« Mathematics in India »</cite>, dans <a href="/wiki/Victor_J._Katz" title="Victor J. Katz">Victor J. Katz</a>, <cite class="italique" lang="en">The mathematics of Egypt, Mesopotamia, China, India, and Islam : A sourcebook</cite>, Princeton University Press, <time>2007</time> <small style="line-height:1em;">(<a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/978-0-691-11485-9" title="Spécial:Ouvrages de référence/978-0-691-11485-9"><span class="nowrap">978-0-691-11485-9</span></a>)</small>, <abbr class="abbr" title="page">p.</abbr> 396<span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.btitle=The+mathematics+of+Egypt%2C+Mesopotamia%2C+China%2C+India%2C+and+Islam&rft.atitle=Mathematics+in+India&rft.pub=Princeton+University+Press&rft.stitle=A+sourcebook&rft.aulast=Plofker&rft.aufirst=Kim&rft.date=2007&rft.pages=396&rft.isbn=978-0-691-11485-9&rfr_id=info%3Asid%2Ffr.wikipedia.org%3AZ%C3%A9ro"></span></span></span>.</span> </li> <li id="cite_note-14"><span class="mw-cite-backlink noprint"><a href="#cite_ref-14">↑</a> </span><span class="reference-text">Hannah Devlin, <a rel="nofollow" class="external text" href="https://www.theguardian.com/science/2017/sep/14/much-ado-about-nothing-ancient-indian-text-contains-earliest-zero-symbol">Much ado about nothing: ancient Indian text contains earliest zero symbol</a>, <i>The Guardian</i> (14 septembre 2017).</span> </li> <li id="cite_note-15"><span class="mw-cite-backlink noprint"><a href="#cite_ref-15">↑</a> </span><span class="reference-text"><a href="/wiki/Andr%C3%A9_Cauty" title="André Cauty">André Cauty</a>, <i>Numérotations à deux « zéros » chez les Mayas</i>, Repères, IREM, <abbr class="abbr" title="numéro">n<sup>o</sup></abbr> 41, octobre 2000 (<a rel="nofollow" class="external text" href="https://publimath.univ-irem.fr/numerisation/WR/IWR00030/IWR00030.pdf">lire en ligne</a> <abbr class="abbr indicateur-format format-pdf" title="Document au format Portable Document Format (PDF)">[PDF]</abbr>), <abbr class="abbr" title="pages">p.</abbr> <span class="nowrap">37-39</span>.</span> </li> <li id="cite_note-16"><span class="mw-cite-backlink noprint"><a href="#cite_ref-16">↑</a> </span><span class="reference-text">JC Risler, <i>La civilisation arabe</i>, Payot, Paris 1955, <abbr class="abbr" title="pages">p.</abbr> <span class="nowrap">152-153</span>.</span> </li> <li id="cite_note-17"><span class="mw-cite-backlink noprint"><a href="#cite_ref-17">↑</a> </span><span class="reference-text"><span class="ouvrage" id="Ambrosetti2008"><span class="ouvrage" id="Nadia_Ambrosetti2008"><abbr class="abbr indicateur-langue" title="Langue : italien">(it)</abbr> Nadia Ambrosetti, <cite class="italique" lang="it">L'eredità arabo-islamica nelle scienze e nelle arti del calcolo dell'Europa medievale</cite>, Milan, LED, <time>2008</time> <small style="line-height:1em;">(<a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/978-88-7916-388-0" title="Spécial:Ouvrages de référence/978-88-7916-388-0"><span class="nowrap">978-88-7916-388-0</span></a>, <a rel="nofollow" class="external text" href="//books.google.com/books?id=wp23Le5nxMEC&pg=PA96">lire en ligne</a>)</small>, <abbr class="abbr" title="pages">p.</abbr> <span class="nowrap">96-98</span><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=L%27eredit%C3%A0+arabo-islamica+nelle+scienze+e+nelle+arti+del+calcolo+dell%27Europa+medievale&rft.place=Milan&rft.pub=LED&rft.aulast=Ambrosetti&rft.aufirst=Nadia&rft.date=2008&rft.pages=96-98&rft.isbn=978-88-7916-388-0&rfr_id=info%3Asid%2Ffr.wikipedia.org%3AZ%C3%A9ro"></span></span></span></span> </li> <li id="cite_note-18"><span class="mw-cite-backlink noprint"><a href="#cite_ref-18">↑</a> </span><span class="reference-text"><a href="/wiki/Andr%C3%A9_Cauty" title="André Cauty">André Cauty</a>, J.-M. Hoppan, É. Trélut, <i>Numérotation et action. Le cas des numérotations mayas</i>, dans <i>Journal des anthropologues</i>, <abbr class="abbr" title="numéro">n<sup>o</sup></abbr> 85-86, 2001 (<a rel="nofollow" class="external text" href="http://www.dogma.lu/txt/ET-numeration.pdf">lire en ligne</a> <abbr class="abbr indicateur-format format-pdf" title="Document au format Portable Document Format (PDF)">[PDF]</abbr>).</span> </li> <li id="cite_note-19"><span class="mw-cite-backlink noprint"><a href="#cite_ref-19">↑</a> </span><span class="reference-text"><a href="/wiki/Andr%C3%A9_Cauty" title="André Cauty">André Cauty</a>, <i>Numérotations à deux « zéros » chez les Mayas</i>, Repères, IREM, <abbr class="abbr" title="numéro">n<sup>o</sup></abbr> 41, octobre 2000 (<a rel="nofollow" class="external text" href="https://publimath.univ-irem.fr/numerisation/WR/IWR00030/IWR00030.pdf">lire en ligne</a> <abbr class="abbr indicateur-format format-pdf" title="Document au format Portable Document Format (PDF)">[PDF]</abbr>).</span> </li> <li id="cite_note-20"><span class="mw-cite-backlink noprint"><a href="#cite_ref-20">↑</a> </span><span class="reference-text"><span class="ouvrage" id="PepperbergGordon2005"><span class="ouvrage" id="Irene_M._PepperbergJesse_D._Gordon2005"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> Irene M. Pepperberg et Jesse D. Gordon, « <cite style="font-style:normal" lang="en">Number comprehension by a grey parrot (Psittacus erithacus), including a zero-like concept</cite> », <i><span class="lang-en" lang="en">Journal of Comparative Psychology</span></i>, <abbr class="abbr" title="volume">vol.</abbr> 119, <abbr class="abbr" title="numéro">n<sup>o</sup></abbr> 2,‎ <time class="nowrap" datetime="2005-05" data-sort-value="2005-05">mai 2005</time>, <abbr class="abbr" title="pages">p.</abbr> <span class="nowrap">197-209</span> <small style="line-height:1em;">(<a href="/wiki/Digital_Object_Identifier" title="Digital Object Identifier">DOI</a> <span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1037/0735-7036.119.2.197">10.1037/0735-7036.119.2.197</a></span>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Number+comprehension+by+a+grey+parrot+%28Psittacus+erithacus%29%2C+including+a+zero-like+concept&rft.jtitle=Journal+of+Comparative+Psychology&rft.issue=2&rft.aulast=Pepperberg&rft.aufirst=Irene+M.&rft.au=Jesse+D.+Gordon&rft.date=2005-05&rft.volume=119&rft.pages=197-209&rft_id=info%3Adoi%2F10.1037%2F0735-7036.119.2.197&rfr_id=info%3Asid%2Ffr.wikipedia.org%3AZ%C3%A9ro"></span></span></span>.</span> </li> <li id="cite_note-21"><span class="mw-cite-backlink noprint"><a href="#cite_ref-21">↑</a> </span><span class="reference-text"><span class="ouvrage" id="MerrittRugani_RBrannon2009"><span class="ouvrage" id="D._J._MerrittR._Rugani_RE._M._Brannon2009"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> D. J. Merritt, R. Rugani R et E. M. Brannon, « <cite style="font-style:normal" lang="en">Empty sets as part of the numerical continuum: conceptual precursors to the zero concept in rhesus monkeys</cite> », <i><span class="lang-en" lang="en">Journal of Experimental Psychology. General</span></i>, <abbr class="abbr" title="volume">vol.</abbr> 138, <abbr class="abbr" title="numéro">n<sup>o</sup></abbr> 2,‎ <time class="nowrap" datetime="2009-05" data-sort-value="2009-05">mai 2009</time>, <abbr class="abbr" title="pages">p.</abbr> <span class="nowrap">258-269</span> <small style="line-height:1em;">(<a href="/wiki/International_Standard_Serial_Number" title="International Standard Serial Number">ISSN</a> <span class="plainlinks noarchive"><a rel="nofollow" class="external text" href="https://portal.issn.org/resource/issn/0096-3445">0096-3445</a></span>, <a href="/wiki/Digital_Object_Identifier" title="Digital Object Identifier">DOI</a> <span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1037/a0015231">10.1037/a0015231</a></span>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Empty+sets+as+part+of+the+numerical+continuum%3A+conceptual+precursors+to+the+zero+concept+in+rhesus+monkeys&rft.jtitle=Journal+of+Experimental+Psychology.+General&rft.issue=2&rft.aulast=Merritt&rft.aufirst=D.+J.&rft.au=R.+Rugani+R&rft.au=E.+M.+Brannon&rft.date=2009-05&rft.volume=138&rft.pages=258-269&rft.issn=0096-3445&rft_id=info%3Adoi%2F10.1037%2Fa0015231&rfr_id=info%3Asid%2Ffr.wikipedia.org%3AZ%C3%A9ro"></span></span></span>.</span> </li> <li id="cite_note-22"><span class="mw-cite-backlink noprint"><a href="#cite_ref-22">↑</a> </span><span class="reference-text"><span class="ouvrage" id="HowardAvarguès-WeberGarcia1Greentree2018"><span class="ouvrage" id="Scarlett_R._HowardAurore_Avarguès-WeberJair_E._Garcia1Andrew_D._Greentree2018"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> Scarlett R. Howard, Aurore Avarguès-Weber, Jair E. Garcia1, Andrew D. Greentree et Adrian G. Dyer1, « <cite style="font-style:normal" lang="en">Numerical ordering of zero in honey bees</cite> », <i><a href="/wiki/Science_(revue)" title="Science (revue)"><span class="lang-en" lang="en">Science</span></a></i>, <abbr class="abbr" title="volume">vol.</abbr> 360, <abbr class="abbr" title="numéro">n<sup>o</sup></abbr> 6393,‎ <time class="nowrap" datetime="2018-06-08" data-sort-value="2018-06-08">8 juin 2018</time>, <abbr class="abbr" title="pages">p.</abbr> <span class="nowrap">1124-1126</span> <small style="line-height:1em;">(<a href="/wiki/Digital_Object_Identifier" title="Digital Object Identifier">DOI</a> <span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1126/science.aar4975">10.1126/science.aar4975</a></span>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Numerical+ordering+of+zero+in+honey+bees&rft.jtitle=Science&rft.issue=6393&rft.aulast=Howard&rft.aufirst=Scarlett+R.&rft.au=Aurore+Avargu%C3%A8s-Weber&rft.au=Jair+E.+Garcia1&rft.au=Andrew+D.+Greentree&rft.au=Adrian+G.+Dyer1&rft.date=2018-06-08&rft.volume=360&rft.pages=1124-1126&rft_id=info%3Adoi%2F10.1126%2Fscience.aar4975&rfr_id=info%3Asid%2Ffr.wikipedia.org%3AZ%C3%A9ro"></span></span></span>.</span> </li> <li id="cite_note-23"><span class="mw-cite-backlink noprint"><a href="#cite_ref-23">↑</a> </span><span class="reference-text">utilisée à la fois en <a href="/wiki/Chinois_simplifi%C3%A9" class="mw-redirect" title="Chinois simplifié">chinois simplifié</a>, <a href="/wiki/Chinois_traditionnel" class="mw-redirect" title="Chinois traditionnel">chinois traditionnel</a> et <a href="/wiki/Japonais" title="Japonais">japonais</a>, ainsi qu'autrefois en <a href="/wiki/Cor%C3%A9en" title="Coréen">coréen</a> et <a href="/wiki/Vietnamien" title="Vietnamien">vietnamien</a>.</span> </li> <li id="cite_note-24"><span class="mw-cite-backlink noprint"><a href="#cite_ref-24">↑</a> </span><span class="reference-text">utilisée à la fois en <a href="/wiki/Chinois_simplifi%C3%A9" class="mw-redirect" title="Chinois simplifié">chinois simplifié</a> et <a href="/wiki/Chinois_traditionnel" class="mw-redirect" title="Chinois traditionnel">chinois traditionnel</a> et <a href="/wiki/Japonais" title="Japonais">japonais</a>, ainsi qu'autrefois en <a href="/wiki/Cor%C3%A9en" title="Coréen">coréen</a> et <a href="/wiki/Vietnamien" title="Vietnamien">vietnamien</a>, elle est davantage utilisée, mais non exclusivement, comme forme complexe pour les <a href="/wiki/Ch%C3%A8que" title="Chèque">chèques</a> et la <a href="/wiki/Monnaie" title="Monnaie">monnaie</a>.</span> </li> <li id="cite_note-25"><span class="mw-cite-backlink noprint"><a href="#cite_ref-25">↑</a> </span><span class="reference-text"><a rel="nofollow" class="external text" href="http://forums.futura-sciences.com/mathematiques-superieur/166012-finir-0-0-a.html">Pour en finir avec 0<sup>0</sup></a> sur forums.futura-sciences.com</span> </li> </ol></div> </div> <div class="mw-heading mw-heading2"><h2 id="Voir_aussi">Voir aussi</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Z%C3%A9ro&veaction=edit&section=14" title="Modifier la section : Voir aussi" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Z%C3%A9ro&action=edit&section=14" title="Modifier le code source de la section : Voir aussi"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r194021218">.mw-parser-output .autres-projets>.titre{text-align:center;margin:0.2em 0}.mw-parser-output .autres-projets>ul{margin:0;padding:0}.mw-parser-output .autres-projets>ul>li{list-style:none;margin:0.2em 0;text-indent:0;padding-left:24px;min-height:20px;text-align:left;display:block}.mw-parser-output .autres-projets>ul>li>a{font-style:italic}@media(max-width:720px){.mw-parser-output .autres-projets{float:none}}</style><div class="autres-projets boite-grise boite-a-droite noprint js-interprojets"> <p class="titre">Sur les autres projets Wikimedia :</p> <ul class="noarchive plainlinks"> <li class="wiktionary"><a href="https://fr.wiktionary.org/wiki/z%C3%A9ro" class="extiw" title="wikt:zéro">zéro</a>, <span class="nowrap">sur le <span class="project">Wiktionnaire</span></span></li> </ul> </div> <p class="mw-empty-elt"> </p> <table class="infobox_v2 infobox infobox--frwiki noarchive"> <tbody><tr> <td colspan="2" class="entete audio" style="background-color:#E1E1E1;color:black;">Fichier audio<style data-mw-deduplicate="TemplateStyles:r201193656">.mw-parser-output .entete.audio{background-image:url("//upload.wikimedia.org/wikipedia/commons/a/a1/Antu-audio-volume-medium-22.svg")}</style> </td></tr> <tr><td colspan="2" style="text-align:center;"><a href="/wiki/Fichier:0_number_morse_code.ogg" title="Fichier:0 number morse code.ogg">0 en code morse</a></td> </tr><tr> <td colspan="2" style="text-align:center;"><figure class="mw-halign-center" typeof="mw:File"><span><audio id="mwe_player_0" controls="" preload="none" data-mw-tmh="" class="mw-file-element" width="180" style="width:180px;" data-durationhint="2" data-mwtitle="0_number_morse_code.ogg" data-mwprovider="wikimediacommons"><source src="//upload.wikimedia.org/wikipedia/commons/5/5d/0_number_morse_code.ogg" type="audio/ogg; codecs="vorbis"" data-width="0" data-height="0" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/5/5d/0_number_morse_code.ogg/0_number_morse_code.ogg.mp3" type="audio/mpeg" data-transcodekey="mp3" data-width="0" data-height="0" /></audio></span><figcaption>noicon</figcaption></figure></td> </tr><tr> <th colspan="2" style="padding:4px; text-align:center; background-color:#DFE4FB; color:#000000"><figure class="mw-halign-left" typeof="mw:File"><a href="/wiki/Aide:Regarder_des_vid%C3%A9os_ogg" title="Des difficultés à utiliser ces médias ?"><img alt="Des difficultés à utiliser ces médias ?" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/10/OOjs_UI_icon_help-ltr-progressive.svg/14px-OOjs_UI_icon_help-ltr-progressive.svg.png" decoding="async" width="14" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/10/OOjs_UI_icon_help-ltr-progressive.svg/21px-OOjs_UI_icon_help-ltr-progressive.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/10/OOjs_UI_icon_help-ltr-progressive.svg/28px-OOjs_UI_icon_help-ltr-progressive.svg.png 2x" data-file-width="20" data-file-height="20" /></a><figcaption>Des difficultés à utiliser ces médias ?</figcaption></figure><small><i><a href="/wiki/Aide:Regarder_des_vid%C3%A9os_ogg" title="Aide:Regarder des vidéos ogg">Des difficultés à utiliser ces médias ?</a></i></small></th></tr> <tr> <td class="navigation-only" colspan="2" style="border-top: 2px #DFE4FB solid; font-size: 80%; background:inherit; text-align: right;"><span class="plainlinks" style="float:left;"><a class="external text" href="https://fr.wikipedia.org/w/index.php?title=Z%C3%A9ro&action=edit&section=0"><span class="infodoc">modifier</span></a></span> <span typeof="mw:File"><a href="/wiki/Mod%C3%A8le:Infobox_Liste_de_fichiers" title="Consultez la documentation du modèle"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/38/Info_Simple.svg/12px-Info_Simple.svg.png" decoding="async" width="12" height="12" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/38/Info_Simple.svg/18px-Info_Simple.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/38/Info_Simple.svg/24px-Info_Simple.svg.png 2x" data-file-width="512" data-file-height="512" /></a></span></td> </tr> </tbody></table> <div class="mw-heading mw-heading3"><h3 id="Articles_connexes">Articles connexes</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Z%C3%A9ro&veaction=edit&section=15" title="Modifier la section : Articles connexes" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Z%C3%A9ro&action=edit&section=15" title="Modifier le code source de la section : Articles connexes"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Axiomes_de_Peano" title="Axiomes de Peano">Axiomes de Peano</a></li> <li><a href="/wiki/Chiffres_arabes" title="Chiffres arabes">Chiffres arabes</a></li> <li><a href="/wiki/Syst%C3%A8me_de_num%C3%A9ration_indo-arabe" title="Système de numération indo-arabe">Système de numération indo-arabe</a></li> <li><a href="/wiki/Lokavibh%C3%A2ga" title="Lokavibhâga">Lokavibhâga</a></li> <li><a href="/wiki/Syst%C3%A8me_d%C3%A9cimal_sans_z%C3%A9ro" class="mw-redirect" title="Système décimal sans zéro">Système décimal sans zéro</a></li> <li><a href="/wiki/Th%C3%A9or%C3%A8me_des_z%C3%A9ros_de_Hilbert" title="Théorème des zéros de Hilbert">Théorème des zéros de Hilbert</a></li> <li><a href="/wiki/Z%C3%A9ro_barr%C3%A9" title="Zéro barré">Zéro barré</a></li></ul> <div class="mw-heading mw-heading3"><h3 id="Bibliographie">Bibliographie</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Z%C3%A9ro&veaction=edit&section=16" title="Modifier la section : Bibliographie" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Z%C3%A9ro&action=edit&section=16" title="Modifier le code source de la section : Bibliographie"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Georges_Ifrah" title="Georges Ifrah">Georges Ifrah</a>, <i>Histoire universelle des chiffres, l’intelligence des hommes racontée par les nombres et le calcul</i>, Robert Laffont, collection Bouquins. <small style="line-height:1em;">(<a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/978-2-221-90100-7" title="Spécial:Ouvrages de référence/978-2-221-90100-7"><span class="nowrap">978-2-221-90100-7</span></a>)</small>. <span class="nowrap">Tome 1</span>, 1 042 pages, <span class="nowrap">tome 2</span>, 1 010 pages. Janvier <a href="/wiki/1994" title="1994">1994</a>. (illustrations en couleur)</li> <li><span class="ouvrage" id="Seife2007"><span class="ouvrage" id="Charles_Seife2007">Charles Seife, <cite class="italique">Zéro : la biographie d’une idée dangereuse</cite>, Paris, Hachette, <time>2007</time> <small style="line-height:1em;">(<a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/978-2-01-279192-3" title="Spécial:Ouvrages de référence/978-2-01-279192-3"><span class="nowrap">978-2-01-279192-3</span></a>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Z%C3%A9ro&rft.place=Paris&rft.pub=Hachette&rft.stitle=la+biographie+d%E2%80%99une+id%C3%A9e+dangereuse&rft.aulast=Seife&rft.aufirst=Charles&rft.date=2007&rft.isbn=978-2-01-279192-3&rfr_id=info%3Asid%2Ffr.wikipedia.org%3AZ%C3%A9ro"></span></span></span>.</li></ul> <div class="mw-heading mw-heading3"><h3 id="Radiographie">Radiographie</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Z%C3%A9ro&veaction=edit&section=17" title="Modifier la section : Radiographie" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Z%C3%A9ro&action=edit&section=17" title="Modifier le code source de la section : Radiographie"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="https://www.franceculture.fr/emissions/eureka/eureka-emission-du-jeudi-12-aout-2021">« Zéro : dans l'ombre des nombres »</a> , <i>Eurêka !</i> , <a href="/wiki/France_Culture" title="France Culture">France Culture</a>, 12 aout 2021.</li></ul> <div class="mw-heading mw-heading3"><h3 id="Vidéographie"><span id="Vid.C3.A9ographie"></span>Vidéographie</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Z%C3%A9ro&veaction=edit&section=18" title="Modifier la section : Vidéographie" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Z%C3%A9ro&action=edit&section=18" title="Modifier le code source de la section : Vidéographie"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><abbr class="abbr indicateur-format format-vidéo" title="Vidéo au format mpg, avi...">[vidéo]</abbr> <a rel="nofollow" class="external text" href="https://www.futura-sciences.com/sciences/videos/longue-histoire-zero-5330/">La longue histoire du zéro</a> sur <i>Futura sciences</i>.</li></ul> <div class="navbox-container" style="clear:both;"> <table class="navbox collapsible noprint collapsed" style=""> <tbody><tr><th class="navbox-title" colspan="3" style=""><div style="float:left; width:6em; text-align:left"><div class="noprint plainlinks nowrap tnavbar" style="padding:0; font-size:xx-small; color:var(--color-emphasized, #000000);"><a href="/wiki/Mod%C3%A8le:Palette_Notion_de_nombre" title="Modèle:Palette Notion de nombre"><abbr class="abbr" title="Voir ce modèle.">v</abbr></a> · <a class="external text" href="https://fr.wikipedia.org/w/index.php?title=Mod%C3%A8le:Palette_Notion_de_nombre&action=edit"><abbr class="abbr" title="Modifier ce modèle. Merci de prévisualiser avant de sauvegarder.">m</abbr></a></div></div><div style="font-size:110%">Notion de <a href="/wiki/Nombre" title="Nombre">nombre</a></div></th> </tr> <tr> <th class="navbox-group" style="">Ensembles usuels</th> <td class="navbox-list" style=""><div class="liste-horizontale"> <ul><li><a href="/wiki/Entier_naturel" title="Entier naturel">Entier naturel</a> (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \mathbb {N} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">N</mi> </mrow> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \mathbb {N} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/40eac26c488d3257e3fbe63619729673145d228c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.187ex; height:1.676ex;" alt="{\displaystyle \scriptstyle \mathbb {N} }"></span>)</li> <li><a href="/wiki/Entier_relatif" title="Entier relatif">Entier relatif</a> (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \mathbb {Z} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Z</mi> </mrow> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \mathbb {Z} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f0c672518c0350ca035befd41c26633a2d399431" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.096ex; height:1.676ex;" alt="{\displaystyle \scriptstyle \mathbb {Z} }"></span>)</li> <li><a href="/wiki/Nombre_d%C3%A9cimal" title="Nombre décimal">Nombre décimal</a> (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \mathbb {D} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">D</mi> </mrow> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \mathbb {D} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a3f303c0b908a47cc0dfb5e7a7293a94a22dd0bf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.187ex; height:1.676ex;" alt="{\displaystyle \scriptstyle \mathbb {D} }"></span>)</li> <li><a href="/wiki/Nombre_rationnel" title="Nombre rationnel">Nombre rationnel</a> (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \mathbb {Q} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Q</mi> </mrow> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \mathbb {Q} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/feaa5ab94a056a5a25944ddf0c52c92a404715ab" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.279ex; height:1.843ex;" alt="{\displaystyle \scriptstyle \mathbb {Q} }"></span>)</li> <li><a href="/wiki/Nombre_r%C3%A9el" title="Nombre réel">Nombre réel</a> (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \mathbb {R} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">R</mi> </mrow> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \mathbb {R} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ac7df6838b44979c6531f6a0306206fbdb0477ec" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.187ex; height:1.676ex;" alt="{\displaystyle \scriptstyle \mathbb {R} }"></span>)</li> <li><a href="/wiki/Nombre_complexe" title="Nombre complexe">Nombre complexe</a> (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \mathbb {C} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">C</mi> </mrow> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \mathbb {C} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ebe3a54bb4e56c039e18c3af24ba70ab377f7a07" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.187ex; height:1.676ex;" alt="{\displaystyle \scriptstyle \mathbb {C} }"></span>)</li></ul> </div></td> <td class="navbox-image" rowspan="5" style="vertical-align:middle;padding-left:7px"><span typeof="mw:File"><a href="/wiki/Fichier:Nuvola_apps_edu_mathematics_blue-p.svg" class="mw-file-description" title="Mathématiques"><img alt="Mathématiques" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3e/Nuvola_apps_edu_mathematics_blue-p.svg/70px-Nuvola_apps_edu_mathematics_blue-p.svg.png" decoding="async" width="70" height="70" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3e/Nuvola_apps_edu_mathematics_blue-p.svg/105px-Nuvola_apps_edu_mathematics_blue-p.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3e/Nuvola_apps_edu_mathematics_blue-p.svg/140px-Nuvola_apps_edu_mathematics_blue-p.svg.png 2x" data-file-width="128" data-file-height="128" /></a></span></td> </tr> <tr> <th class="navbox-group" style="">Extensions</th> <td class="navbox-list navbox-even" style=""><div class="liste-horizontale"> <ul><li><a href="/wiki/Quaternion" title="Quaternion">Quaternion</a> (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \mathbb {H} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">H</mi> </mrow> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \mathbb {H} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3d00daea5df233d805f1ec5d5ae84845bac2ad06" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.279ex; height:1.676ex;" alt="{\displaystyle \scriptstyle \mathbb {H} }"></span>)</li> <li><a href="/wiki/Octonion" title="Octonion">Octonion</a> (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \mathbb {O} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">O</mi> </mrow> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \mathbb {O} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3c5cf3960cf7ba384648447c15581d5d4589a6d5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.279ex; height:1.676ex;" alt="{\displaystyle \scriptstyle \mathbb {O} }"></span>)</li> <li><a href="/wiki/S%C3%A9d%C3%A9nion" title="Sédénion">Sédénion</a> (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \mathbb {S} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">S</mi> </mrow> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \mathbb {S} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6ef48a593f4503abeab608e8781ba478b7d1b304" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.914ex; height:1.676ex;" alt="{\displaystyle \scriptstyle \mathbb {S} }"></span>)</li> <li><a href="/wiki/Nombre_complexe_d%C3%A9ploy%C3%A9" title="Nombre complexe déployé">Nombre complexe déployé</a></li> <li><a href="/wiki/Tessarine" title="Tessarine">Tessarine</a></li> <li><a href="/wiki/Nombre_bicomplexe" title="Nombre bicomplexe">Nombre bicomplexe</a> (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \mathbb {C} _{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">C</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \mathbb {C} _{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ba9ab8af8ff8f4437f3c72de4e78738374ee4954" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:2.018ex; height:1.843ex;" alt="{\displaystyle \scriptstyle \mathbb {C} _{2}}"></span>)</li> <li>Nombre multicomplexe (<a href="/wiki/Nombre_multicomplexe_(Segre)" title="Nombre multicomplexe (Segre)"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \mathbb {C} _{n}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">C</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \mathbb {C} _{n}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ee4170ef11ece45d8b66656c919e34eefdb51e42" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:2.151ex; height:1.843ex;" alt="{\displaystyle \scriptstyle \mathbb {C} _{n}}"></span></a></li> <li><a href="/wiki/Nombre_multicomplexe_(Fleury)" title="Nombre multicomplexe (Fleury)"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle {\mathcal {M}}\mathbb {C} _{n}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi class="MJX-tex-caligraphic" mathvariant="script">M</mi> </mrow> </mrow> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">C</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle {\mathcal {M}}\mathbb {C} _{n}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7be2600f9a2a7a3fdbdb7b08d21dec751dfde32e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:4.125ex; height:1.843ex;" alt="{\displaystyle \scriptstyle {\mathcal {M}}\mathbb {C} _{n}}"></span></a>)</li> <li><a href="/wiki/Biquaternion" title="Biquaternion">Biquaternion</a></li> <li><a href="/wiki/Coquaternion" title="Coquaternion">Coquaternion</a></li> <li><a href="/wiki/Quaternion_hyperbolique" title="Quaternion hyperbolique">Quaternion hyperbolique</a></li> <li><a href="/wiki/Octonion_d%C3%A9ploy%C3%A9" title="Octonion déployé">Octonion déployé</a></li> <li><a href="/wiki/Nombre_hypercomplexe" title="Nombre hypercomplexe">Nombre hypercomplexe</a></li> <li><a href="/wiki/Nombre_p-adique" title="Nombre p-adique">Nombre p-adique</a> (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \mathbb {Q} _{p}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Q</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>p</mi> </mrow> </msub> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \mathbb {Q} _{p}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/425658dc852cec8a2d4b6f7d513e60977710d7f7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.114ex; height:2.176ex;" alt="{\displaystyle \scriptstyle \mathbb {Q} _{p}}"></span>)</li> <li><a href="/wiki/Nombre_hyperr%C3%A9el" title="Nombre hyperréel">Nombre hyperréel</a></li> <li><a href="/wiki/Nombre_superr%C3%A9el" title="Nombre superréel">Nombre superréel</a></li> <li><a href="/wiki/Nombre_dual" title="Nombre dual">Nombre dual</a></li> <li><a href="/wiki/Droite_r%C3%A9elle_achev%C3%A9e" title="Droite réelle achevée">Droite réelle achevée</a></li> <li><a href="/wiki/Nombre_cardinal" title="Nombre cardinal">Nombre cardinal</a></li> <li><a href="/wiki/Nombre_ordinal" title="Nombre ordinal">Nombre ordinal</a></li> <li><a href="/wiki/Nombre_surr%C3%A9el" title="Nombre surréel">Nombre surréel</a></li> <li><a href="/wiki/Nombre_pseudo-r%C3%A9el" title="Nombre pseudo-réel">Nombre pseudo-réel</a></li></ul> </div></td> </tr> <tr> <th class="navbox-group" style="">Propriétés particulières</th> <td class="navbox-list" style=""><div class="liste-horizontale"> <ul><li><a href="/wiki/Parit%C3%A9_(arithm%C3%A9tique)" title="Parité (arithmétique)">Parité</a></li> <li><a href="/wiki/Nombre_premier" title="Nombre premier">Nombre premier</a></li> <li><a href="/wiki/Nombre_compos%C3%A9" title="Nombre composé">Nombre composé</a></li> <li><a href="/wiki/Nombre_figur%C3%A9" title="Nombre figuré">Nombre figuré</a></li> <li><a href="/wiki/Nombre_parfait" title="Nombre parfait">Nombre parfait</a></li> <li><a href="/wiki/Nombre_positif" title="Nombre positif">Nombre positif</a></li> <li><a href="/wiki/Nombre_n%C3%A9gatif" title="Nombre négatif">Nombre négatif</a></li> <li><a href="/wiki/Fraction_dyadique" title="Fraction dyadique">Fraction dyadique</a></li> <li><span typeof="mw:File"><span title="Bon article"><img alt="Bon article" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/11/Bon_article.svg/14px-Bon_article.svg.png" decoding="async" width="14" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/11/Bon_article.svg/21px-Bon_article.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/11/Bon_article.svg/28px-Bon_article.svg.png 2x" data-file-width="20" data-file-height="20" /></span></span> <a href="/wiki/Nombre_irrationnel" title="Nombre irrationnel">Nombre irrationnel</a></li> <li><a href="/wiki/Nombre_alg%C3%A9brique" title="Nombre algébrique">Nombre algébrique</a></li> <li><a href="/wiki/Nombre_transcendant" title="Nombre transcendant">Nombre transcendant</a></li> <li><a href="/wiki/Nombre_imaginaire_pur" title="Nombre imaginaire pur">Nombre imaginaire pur</a></li> <li><a href="/wiki/Nombre_de_Liouville" title="Nombre de Liouville">Nombre de Liouville</a></li> <li><a href="/wiki/Alg%C3%A8bre_des_p%C3%A9riodes" title="Algèbre des périodes">Période</a></li> <li><a href="/wiki/Nombre_normal" title="Nombre normal">Nombre normal</a></li> <li><a href="/wiki/Nombre_univers" title="Nombre univers">Nombre univers</a></li> <li><a href="/wiki/Nombre_constructible" title="Nombre constructible">Nombre constructible</a></li> <li><a href="/wiki/Nombre_r%C3%A9el_calculable" title="Nombre réel calculable">Nombre réel calculable</a></li> <li><a href="/wiki/Nombre_transfini" title="Nombre transfini">Nombre transfini</a></li> <li><a href="/wiki/Infiniment_petit" title="Infiniment petit">Infiniment petit</a></li></ul> </div></td> </tr> <tr> <th class="navbox-group" style="">Exemples</th> <td class="navbox-list navbox-even" style=""><div class="liste-horizontale"> <ul><li><a href="/wiki/Pi" title="Pi">Pi</a> (<span class="texhtml">π</span>)</li> <li><span typeof="mw:File"><span title="Bon article"><img alt="Bon article" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/11/Bon_article.svg/14px-Bon_article.svg.png" decoding="async" width="14" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/11/Bon_article.svg/21px-Bon_article.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/11/Bon_article.svg/28px-Bon_article.svg.png 2x" data-file-width="20" data-file-height="20" /></span></span> <a href="/wiki/Racine_carr%C3%A9e_de_deux" title="Racine carrée de deux">Racine carrée de deux</a> (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle {\sqrt {2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> </msqrt> </mrow> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle {\sqrt {2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7b6ac02637a190523aa10dde1b52ae41964dfff0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:2.191ex; height:2.176ex;" alt="{\displaystyle \scriptstyle {\sqrt {2}}}"></span>)</li> <li><span typeof="mw:File"><span title="Bon article"><img alt="Bon article" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/11/Bon_article.svg/14px-Bon_article.svg.png" decoding="async" width="14" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/11/Bon_article.svg/21px-Bon_article.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/11/Bon_article.svg/28px-Bon_article.svg.png 2x" data-file-width="20" data-file-height="20" /></span></span> <a href="/wiki/Nombre_d%27or" title="Nombre d'or">Nombre d’or</a> (φ)</li> <li><a class="mw-selflink selflink">Zéro</a> (0)</li> <li><a href="/wiki/Unit%C3%A9_imaginaire" title="Unité imaginaire">Unité imaginaire</a> (<span class="texhtml">i</span>)</li> <li><a href="/wiki/E_(nombre)" title="E (nombre)">Constante de Neper</a> (<span class="texhtml">e</span>)</li> <li><a href="/wiki/Aleph-z%C3%A9ro" title="Aleph-zéro">Aleph-zéro</a> (ℵ<sub>0</sub>)</li> <li><a href="/wiki/Table_de_constantes_math%C3%A9matiques" title="Table de constantes mathématiques">Table de constantes mathématiques</a></li></ul> </div></td> </tr> <tr> <th class="navbox-group" style="">Articles liés</th> <td class="navbox-list" style=""><div class="liste-horizontale"> <ul><li><a href="/wiki/Chiffre" title="Chiffre">Chiffre</a></li> <li><a href="/wiki/Num%C3%A9ration" title="Numération">Numération</a></li> <li><a href="/wiki/Fraction_(math%C3%A9matiques)" title="Fraction (mathématiques)">Fraction</a></li> <li><a href="/wiki/Op%C3%A9ration_(math%C3%A9matiques)" title="Opération (mathématiques)">Opération</a></li> <li><a href="/wiki/Calcul_(math%C3%A9matiques)" title="Calcul (mathématiques)">Calcul</a></li> <li><a href="/wiki/Alg%C3%A8bre" title="Algèbre">Algèbre</a></li> <li><a href="/wiki/Arithm%C3%A9tique" title="Arithmétique">Arithmétique</a></li> <li><a href="/wiki/Suite_d%27entiers" title="Suite d'entiers">Suite d'entiers</a></li> <li><a href="/wiki/Infini" title="Infini">Infini</a> (<span class="texhtml">∞</span>)</li> <li><a href="/wiki/Chiffre_significatif" title="Chiffre significatif">Chiffre significatif</a></li></ul> </div></td> </tr> </tbody></table> <table class="navbox collapsible noprint collapsed" style=""> <tbody><tr><th class="navbox-title" colspan="2" style=""><div style="float:left; width:6em; text-align:left"><div class="noprint plainlinks nowrap tnavbar" style="padding:0; font-size:xx-small; color:var(--color-emphasized, #000000);"><span typeof="mw:File"><a href="/wiki/Mod%C3%A8le:Palette_Nombres" title="Voir ce modèle."><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/38/Info_Simple.svg/12px-Info_Simple.svg.png" decoding="async" width="12" height="12" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/38/Info_Simple.svg/18px-Info_Simple.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/38/Info_Simple.svg/24px-Info_Simple.svg.png 2x" data-file-width="512" data-file-height="512" /></a></span></div></div><div style="font-size:110%"><a href="/wiki/Liste_de_nombres" title="Liste de nombres">Liste de nombres</a> voisins</div></th> </tr> <tr> <th class="navbox-group" style=""><a href="/wiki/Unit%C3%A9_(chiffre)" title="Unité (chiffre)">Unités</a> voisines</th> <td class="navbox-list" style=""><div class="liste-horizontale"> <ul><li><a href="/wiki/-1_(nombre)" class="mw-redirect" title="-1 (nombre)">←</a> <a href="/wiki/0_(nombre)" class="mw-redirect" title="0 (nombre)">0</a></li> <li><a href="/wiki/1_(nombre)" title="1 (nombre)">1</a></li> <li><a href="/wiki/2_(nombre)" title="2 (nombre)">2</a></li> <li><a href="/wiki/3_(nombre)" title="3 (nombre)">3</a></li> <li><a href="/wiki/4_(nombre)" title="4 (nombre)">4</a></li> <li><a href="/wiki/5_(nombre)" title="5 (nombre)">5</a></li> <li><a href="/wiki/6_(nombre)" title="6 (nombre)">6</a></li> <li><a href="/wiki/7_(nombre)" title="7 (nombre)">7</a></li> <li><a href="/wiki/8_(nombre)" title="8 (nombre)">8</a></li> <li><a href="/wiki/9_(nombre)" title="9 (nombre)">9</a> <a href="/wiki/10_(nombre)" title="10 (nombre)">→</a></li></ul> </div></td> </tr> <tr> <th class="navbox-group" style=""><a href="/wiki/10_(nombre)" title="10 (nombre)">Dizaines</a> voisines</th> <td class="navbox-list navbox-even" style=""><div class="liste-horizontale"> <ul><li><a href="/w/index.php?title=-10_(nombre)&action=edit&redlink=1" class="new" title="-10 (nombre) (page inexistante)">←</a> <a href="/wiki/0_(nombre)" class="mw-redirect" title="0 (nombre)">0</a></li> <li><a href="/wiki/10_(nombre)" title="10 (nombre)">10</a></li> <li><a href="/wiki/20_(nombre)" title="20 (nombre)">20</a></li> <li><a href="/wiki/30_(nombre)" title="30 (nombre)">30</a></li> <li><a href="/wiki/40_(nombre)" title="40 (nombre)">40</a></li> <li><a href="/wiki/50_(nombre)" title="50 (nombre)">50</a></li> <li><a href="/wiki/60_(nombre)" title="60 (nombre)">60</a></li> <li><a href="/wiki/70_(nombre)" title="70 (nombre)">70</a></li> <li><a href="/wiki/80_(nombre)" title="80 (nombre)">80</a></li> <li><a href="/wiki/90_(nombre)" title="90 (nombre)">90</a> <a href="/wiki/100_(nombre)" title="100 (nombre)">→</a></li></ul> </div></td> </tr> <tr> <th class="navbox-group" style=""><a href="/wiki/100_(nombre)" title="100 (nombre)">Centaines</a> voisines</th> <td class="navbox-list" style=""><div class="liste-horizontale"> <ul><li><a href="/w/index.php?title=-100_(nombre)&action=edit&redlink=1" class="new" title="-100 (nombre) (page inexistante)">←</a> <a href="/wiki/0_(nombre)" class="mw-redirect" title="0 (nombre)">0</a></li> <li><a href="/wiki/100_(nombre)" title="100 (nombre)">100</a></li> <li><a href="/wiki/200_(nombre)" title="200 (nombre)">200</a></li> <li><a href="/wiki/300_(nombre)" class="mw-redirect" title="300 (nombre)">300</a></li> <li><a href="/wiki/400_(nombre)" class="mw-redirect" title="400 (nombre)">400</a></li> <li><a href="/wiki/500_(nombre)" class="mw-redirect" title="500 (nombre)">500</a></li> <li><a href="/wiki/600_(nombre)" class="mw-redirect" title="600 (nombre)">600</a></li> <li><a href="/wiki/700_(nombre)" class="mw-redirect" title="700 (nombre)">700</a></li> <li><a href="/wiki/800_(nombre)" class="mw-redirect" title="800 (nombre)">800</a></li> <li><a href="/wiki/900_(nombre)" class="mw-redirect" title="900 (nombre)">900</a> <a href="/wiki/1000_(nombre)" class="mw-redirect" title="1000 (nombre)">→</a></li></ul> </div></td> </tr> <tr> <th class="navbox-group" style=""><a href="/wiki/1_000_(nombre)" title="1 000 (nombre)">Milliers</a> voisins</th> <td class="navbox-list navbox-even" style=""><div class="liste-horizontale"> <ul><li><a href="/w/index.php?title=-1000_(nombre)&action=edit&redlink=1" class="new" title="-1000 (nombre) (page inexistante)">←</a> <a href="/wiki/0_(nombre)" class="mw-redirect" title="0 (nombre)">0</a></li> <li><a href="/wiki/1000_(nombre)" class="mw-redirect" title="1000 (nombre)">1000</a></li> <li><a href="/wiki/2000_(nombre)" class="mw-redirect" title="2000 (nombre)">2000</a></li> <li>3000</li></ul> </div></td> </tr> <tr> <th class="navbox-group" style=""><a href="/wiki/10_(nombre)" title="10 (nombre)">Dizaines</a> de <a href="/wiki/1_000_(nombre)" title="1 000 (nombre)">milliers</a></th> <td class="navbox-list" style=""><div class="liste-horizontale"> <ul><li><a href="/w/index.php?title=-10000_(nombre)&action=edit&redlink=1" class="new" title="-10000 (nombre) (page inexistante)">←</a> <a href="/wiki/0_(nombre)" class="mw-redirect" title="0 (nombre)">0</a></li> <li><a href="/wiki/10000_(nombre)" class="mw-redirect" title="10000 (nombre)">10000</a></li> <li><a href="/wiki/20000_(nombre)" class="mw-redirect" title="20000 (nombre)">20000</a></li> <li><a href="/wiki/30000_(nombre)" class="mw-redirect" title="30000 (nombre)">30000</a></li> <li><a href="/wiki/40000_(nombre)" class="mw-redirect" title="40000 (nombre)">40000</a></li> <li><a href="/wiki/50000_(nombre)" class="mw-redirect" title="50000 (nombre)">50000</a></li> <li><a href="/wiki/60000_(nombre)" class="mw-redirect" title="60000 (nombre)">60000</a></li> <li><a href="/wiki/70000_(nombre)" class="mw-redirect" title="70000 (nombre)">70000</a></li> <li><a href="/wiki/80000_(nombre)" class="mw-redirect" title="80000 (nombre)">80000</a></li> <li><a href="/wiki/90000_(nombre)" class="mw-redirect" title="90000 (nombre)">90000</a> <a href="/wiki/100000_(nombre)" class="mw-redirect" title="100000 (nombre)">→</a></li></ul> </div></td> </tr> <tr> <th class="navbox-group" style=""><a href="/wiki/100_(nombre)" title="100 (nombre)">Centaines</a> de <a href="/wiki/1_000_(nombre)" title="1 000 (nombre)">milliers</a></th> <td class="navbox-list navbox-even" style=""><div class="liste-horizontale"> <ul><li><a href="/w/index.php?title=-100000_(nombre)&action=edit&redlink=1" class="new" title="-100000 (nombre) (page inexistante)">←</a> <a href="/wiki/0_(nombre)" class="mw-redirect" title="0 (nombre)">0</a></li> <li><a href="/wiki/100000_(nombre)" class="mw-redirect" title="100000 (nombre)">100000</a></li> <li><a href="/wiki/200000_(nombre)" class="mw-redirect" title="200000 (nombre)">200000</a></li> <li><a href="/wiki/300000_(nombre)" class="mw-redirect" title="300000 (nombre)">300000</a></li> <li><a href="/wiki/400000_(nombre)" class="mw-redirect" title="400000 (nombre)">400000</a></li> <li><a href="/wiki/500000_(nombre)" class="mw-redirect" title="500000 (nombre)">500000</a></li> <li><a href="/wiki/600000_(nombre)" class="mw-redirect" title="600000 (nombre)">600000</a></li> <li><a href="/wiki/700000_(nombre)" class="mw-redirect" title="700000 (nombre)">700000</a></li> <li><a href="/wiki/800000_(nombre)" class="mw-redirect" title="800000 (nombre)">800000</a></li> <li><a href="/wiki/900000_(nombre)" class="mw-redirect" title="900000 (nombre)">900000</a> <a href="/wiki/1000000_(nombre)" class="mw-redirect" title="1000000 (nombre)">→</a></li></ul> </div></td> </tr> <tr> <th class="navbox-group" style=""><a href="/wiki/Million" title="Million">Millions</a> voisins</th> <td class="navbox-list" style=""><div class="liste-horizontale"> <ul><li><a href="/w/index.php?title=-1000000_(nombre)&action=edit&redlink=1" class="new" title="-1000000 (nombre) (page inexistante)">←</a> <a href="/wiki/0_(nombre)" class="mw-redirect" title="0 (nombre)">0</a></li> <li><a href="/wiki/1000000_(nombre)" class="mw-redirect" title="1000000 (nombre)">1000000</a></li> <li><a href="/wiki/2000000_(nombre)" class="mw-redirect" title="2000000 (nombre)">2000000</a></li> <li><a href="/wiki/3000000_(nombre)" class="mw-redirect" title="3000000 (nombre)">3000000</a></li> <li><a href="/wiki/4000000_(nombre)" class="mw-redirect" title="4000000 (nombre)">4000000</a></li> <li><a href="/wiki/5000000_(nombre)" class="mw-redirect" title="5000000 (nombre)">5000000</a></li> <li><a href="/wiki/6000000_(nombre)" class="mw-redirect" title="6000000 (nombre)">6000000</a></li> <li><a href="/wiki/7000000_(nombre)" class="mw-redirect" title="7000000 (nombre)">7000000</a></li> <li><a href="/wiki/8000000_(nombre)" class="mw-redirect" title="8000000 (nombre)">8000000</a></li> <li><a href="/wiki/9000000_(nombre)" class="mw-redirect" title="9000000 (nombre)">9000000</a> <a href="/w/index.php?title=10000000_(nombre)&action=edit&redlink=1" class="new" title="10000000 (nombre) (page inexistante)">→</a></li></ul> </div></td> </tr> <tr> <th class="navbox-group" style=""><a href="/wiki/Milliard" title="Milliard">Milliards</a> voisins</th> <td class="navbox-list navbox-even" style=""><div class="liste-horizontale"> <ul><li><a href="/w/index.php?title=-1000000000_(nombre)&action=edit&redlink=1" class="new" title="-1000000000 (nombre) (page inexistante)">←</a> <a href="/wiki/0_(nombre)" class="mw-redirect" title="0 (nombre)">0</a></li> <li><a href="/wiki/1000000000_(nombre)" class="mw-redirect" title="1000000000 (nombre)">1000000000</a></li> <li><a href="/wiki/2000000000_(nombre)" class="mw-redirect" title="2000000000 (nombre)">2000000000</a></li> <li><a href="/wiki/3000000000_(nombre)" class="mw-redirect" title="3000000000 (nombre)">3000000000</a></li> <li><a href="/wiki/4000000000_(nombre)" class="mw-redirect" title="4000000000 (nombre)">4000000000</a></li> <li><a href="/wiki/5000000000_(nombre)" class="mw-redirect" title="5000000000 (nombre)">5000000000</a></li> <li><a href="/wiki/6000000000_(nombre)" class="mw-redirect" title="6000000000 (nombre)">6000000000</a></li> <li><a href="/wiki/7000000000_(nombre)" class="mw-redirect" title="7000000000 (nombre)">7000000000</a></li> <li><a href="/wiki/8000000000_(nombre)" class="mw-redirect" title="8000000000 (nombre)">8000000000</a></li> <li><a href="/wiki/9000000000_(nombre)" class="mw-redirect" title="9000000000 (nombre)">9000000000</a> <a href="/w/index.php?title=10000000000_(nombre)&action=edit&redlink=1" class="new" title="10000000000 (nombre) (page inexistante)">→</a></li></ul> </div></td> </tr> <tr> <td class="navbox-banner" style="" colspan="2"><a href="/wiki/Ordres_de_grandeur_de_nombres" title="Ordres de grandeur de nombres">Ordres de grandeur</a></td></tr></tbody></table><table class="navbox collapsible noprint autocollapse" style=""> <tbody><tr><th class="navbox-title" colspan="2" style=""><div style="float:left; width:6em; text-align:left"><div class="noprint plainlinks nowrap tnavbar" style="padding:0; font-size:xx-small; color:var(--color-emphasized, #000000);"><a href="/wiki/Mod%C3%A8le:Palette_Chiffres" title="Modèle:Palette Chiffres"><abbr class="abbr" title="Voir ce modèle.">v</abbr></a> · <a class="external text" href="https://fr.wikipedia.org/w/index.php?title=Mod%C3%A8le:Palette_Chiffres&action=edit"><abbr class="abbr" title="Modifier ce modèle. Merci de prévisualiser avant de sauvegarder.">m</abbr></a></div></div><div style="font-size:110%"><a href="/wiki/Chiffres_arabes" title="Chiffres arabes">Chiffres arabes</a></div></th> </tr> <tr> <td class="navbox-list" style="text-align:center;" colspan="2"><div class="liste-horizontale"> <ul><li><a href="/wiki/Z%C3%A9ro_(chiffre)" title="Zéro (chiffre)">0</a></li> <li><a href="/wiki/1_(chiffre)" title="1 (chiffre)">1</a></li> <li><a href="/wiki/2_(chiffre)" title="2 (chiffre)">2</a></li> <li><a href="/wiki/3_(chiffre)" title="3 (chiffre)">3</a></li> <li><a href="/wiki/4_(chiffre)" title="4 (chiffre)">4</a></li> <li><a href="/wiki/5_(chiffre)" title="5 (chiffre)">5</a></li> <li><a href="/wiki/6_(chiffre)" title="6 (chiffre)">6</a></li> <li><a href="/wiki/7_(chiffre)" title="7 (chiffre)">7</a></li> <li><a href="/wiki/8_(chiffre)" title="8 (chiffre)">8</a></li> <li><a href="/wiki/9_(chiffre)" title="9 (chiffre)">9</a></li></ul> </div></td> </tr> </tbody></table> </div> <ul id="bandeau-portail" class="bandeau-portail"><li><span class="bandeau-portail-element"><span class="bandeau-portail-icone"><span class="noviewer skin-invert-image" typeof="mw:File"><a href="/wiki/Portail:Arithm%C3%A9tique_et_th%C3%A9orie_des_nombres" title="Arithmétique et théorie des nombres"><img alt="icône décorative" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f6/Pascal%27s_triangle_5.svg/34px-Pascal%27s_triangle_5.svg.png" decoding="async" width="34" height="24" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f6/Pascal%27s_triangle_5.svg/50px-Pascal%27s_triangle_5.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f6/Pascal%27s_triangle_5.svg/67px-Pascal%27s_triangle_5.svg.png 2x" data-file-width="540" data-file-height="389" /></a></span></span> <span class="bandeau-portail-texte"><a href="/wiki/Portail:Arithm%C3%A9tique_et_th%C3%A9orie_des_nombres" title="Portail:Arithmétique et théorie des nombres">Arithmétique et théorie des nombres</a></span> </span></li> </ul>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Ce document provient de « <a dir="ltr" href="https://fr.wikipedia.org/w/index.php?title=Zéro&oldid=220427934">https://fr.wikipedia.org/w/index.php?title=Zéro&oldid=220427934</a> ».</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Cat%C3%A9gorie:Accueil" title="Catégorie:Accueil">Catégories</a> : <ul><li><a href="/wiki/Cat%C3%A9gorie:Z%C3%A9ro" title="Catégorie:Zéro">Zéro</a></li><li><a href="/wiki/Cat%C3%A9gorie:Rien" title="Catégorie:Rien">Rien</a></li><li><a href="/wiki/Cat%C3%A9gorie:Chiffre_arabe" title="Catégorie:Chiffre arabe">Chiffre arabe</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Catégories cachées : <ul><li><a href="/wiki/Cat%C3%A9gorie:Article_utilisant_une_Infobox" title="Catégorie:Article utilisant une Infobox">Article utilisant une Infobox</a></li><li><a href="/wiki/Cat%C3%A9gorie:Article_%C3%A0_r%C3%A9f%C3%A9rence_souhait%C3%A9e" title="Catégorie:Article à référence souhaitée">Article à référence souhaitée</a></li><li><a href="/wiki/Cat%C3%A9gorie:Article_%C3%A0_r%C3%A9f%C3%A9rence_n%C3%A9cessaire" title="Catégorie:Article à référence nécessaire">Article à référence nécessaire</a></li><li><a href="/wiki/Cat%C3%A9gorie:Article_contenant_un_appel_%C3%A0_traduction_en_anglais" title="Catégorie:Article contenant un appel à traduction en anglais">Article contenant un appel à traduction en anglais</a></li><li><a href="/wiki/Cat%C3%A9gorie:Portail:Arithm%C3%A9tique_et_th%C3%A9orie_des_nombres/Articles_li%C3%A9s" title="Catégorie:Portail:Arithmétique et théorie des nombres/Articles liés">Portail:Arithmétique et théorie des nombres/Articles liés</a></li><li><a href="/wiki/Cat%C3%A9gorie:Portail:Sciences/Articles_li%C3%A9s" title="Catégorie:Portail:Sciences/Articles liés">Portail:Sciences/Articles liés</a></li><li><a href="/wiki/Cat%C3%A9gorie:Projet:Math%C3%A9matiques/Articles" title="Catégorie:Projet:Mathématiques/Articles">Projet:Mathématiques/Articles</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> La dernière modification de cette page a été faite le 19 novembre 2024 à 15:09.</li> <li id="footer-info-copyright"><span style="white-space: normal"><a href="/wiki/Wikip%C3%A9dia:Citation_et_r%C3%A9utilisation_du_contenu_de_Wikip%C3%A9dia" title="Wikipédia:Citation et réutilisation du contenu de Wikipédia">Droit d'auteur</a> : les textes sont disponibles sous <a rel="nofollow" class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/deed.fr">licence Creative Commons attribution, partage dans les mêmes conditions</a> ; 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