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Dit is echter niet verplicht." class=""><span>Account aanmaken</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Speciaal:Aanmelden&returnto=Negatief+getal&returntoquery=oldid%3D35348833" title="U wordt van harte uitgenodigd om aan te melden, maar dit is niet verplicht [o]" accesskey="o" class=""><span>Aanmelden</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="Meer opties" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="Persoonlijke hulpmiddelen" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-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-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">Persoonlijke hulpmiddelen</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Gebruikersmenu" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_nl.wikipedia.org&uselang=nl"><span>Doneren</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Speciaal:GebruikerAanmaken&returnto=Negatief+getal&returntoquery=oldid%3D35348833" title="Registreer u vooral en meld u aan. 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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">Inhoud</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">naar zijbalk verplaatsen</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">verbergen</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">Top</div> </a> </li> <li id="toc-De_getallenlijn" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#De_getallenlijn"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>De getallenlijn</span> </div> </a> <ul id="toc-De_getallenlijn-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Symbolen" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Symbolen"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Symbolen</span> </div> </a> <ul id="toc-Symbolen-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Verschil_in_definitie_tussen_Nederland_en_België" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Verschil_in_definitie_tussen_Nederland_en_België"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Verschil in definitie tussen Nederland en België</span> </div> </a> <ul id="toc-Verschil_in_definitie_tussen_Nederland_en_België-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Wiskundige_definitie" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Wiskundige_definitie"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Wiskundige definitie</span> </div> </a> <button aria-controls="toc-Wiskundige_definitie-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>Wiskundige definitie-subkopje inklappen</span> </button> <ul id="toc-Wiskundige_definitie-sublist" class="vector-toc-list"> <li id="toc-min_x_min_=_plus" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#min_x_min_=_plus"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1</span> <span>min x min = plus</span> </div> </a> <ul id="toc-min_x_min_=_plus-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Geschiedenis" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Geschiedenis"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Geschiedenis</span> </div> </a> <ul id="toc-Geschiedenis-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Zie_ook" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Zie_ook"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Zie ook</span> </div> </a> <ul id="toc-Zie_ook-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Voetnoten" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Voetnoten"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Voetnoten</span> </div> </a> <ul id="toc-Voetnoten-sublist" class="vector-toc-list"> </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="Inhoud" 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="Inhoudsopgave omschakelen" > <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">Inhoudsopgave omschakelen</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">Negatief getal</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="Ga naar een artikel in een andere taal. Beschikbaar in 76 talen" > <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-76" 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">76 talen</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B9%D8%AF%D8%AF_%D8%B3%D8%A7%D9%84%D8%A8" title="عدد سالب – Arabisch" lang="ar" hreflang="ar" data-title="عدد سالب" data-language-autonym="العربية" data-language-local-name="Arabisch" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/N%C3%BAmberu_negativu" title="Númberu negativu – Asturisch" lang="ast" hreflang="ast" data-title="Númberu negativu" data-language-autonym="Asturianu" data-language-local-name="Asturisch" 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/M%C9%99nfi_%C9%99d%C9%99dl%C9%99r" title="Mənfi ədədlər – Azerbeidzjaans" lang="az" hreflang="az" data-title="Mənfi ədədlər" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbeidzjaans" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%90%D0%B4%D0%BC%D0%BE%D1%9E%D0%BD%D1%8B_%D0%BB%D1%96%D0%BA" title="Адмоўны лік – Belarussisch" lang="be" hreflang="be" data-title="Адмоўны лік" data-language-autonym="Беларуская" data-language-local-name="Belarussisch" 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%90%D0%B4%D0%BC%D0%BE%D1%9E%D0%BD%D1%8B_%D0%BB%D1%96%D0%BA" title="Адмоўны лік – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Адмоўны лік" 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-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%8B%E0%A6%A3%E0%A6%BE%E0%A6%A4%E0%A7%8D%E0%A6%AE%E0%A6%95_%E0%A6%93_%E0%A6%85%E0%A6%8B%E0%A6%A3%E0%A6%BE%E0%A6%A4%E0%A7%8D%E0%A6%AE%E0%A6%95_%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE" title="ঋণাত্মক ও অঋণাত্মক সংখ্যা – Bengaals" lang="bn" hreflang="bn" data-title="ঋণাত্মক ও অঋণাত্মক সংখ্যা" data-language-autonym="বাংলা" data-language-local-name="Bengaals" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Niver_leiel" title="Niver leiel – Bretons" lang="br" hreflang="br" data-title="Niver leiel" data-language-autonym="Brezhoneg" data-language-local-name="Bretons" class="interlanguage-link-target"><span>Brezhoneg</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Negativan_broj" title="Negativan broj – Bosnisch" lang="bs" hreflang="bs" data-title="Negativan broj" data-language-autonym="Bosanski" data-language-local-name="Bosnisch" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-bxr mw-list-item"><a href="https://bxr.wikipedia.org/wiki/%D2%BA%D3%A9%D3%A9%D1%80%D0%B3%D1%8D_%D1%82%D0%BE%D0%BE" title="Һөөргэ тоо – Russia Buriat" lang="bxr" hreflang="bxr" data-title="Һөөргэ тоо" data-language-autonym="Буряад" data-language-local-name="Russia Buriat" class="interlanguage-link-target"><span>Буряад</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Nombre_negatiu" title="Nombre negatiu – Catalaans" lang="ca" hreflang="ca" data-title="Nombre negatiu" data-language-autonym="Català" data-language-local-name="Catalaans" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%DA%98%D9%85%D8%A7%D8%B1%DB%95_%D9%86%DB%95%D8%B1%DB%8E%D9%86%DB%8C%DB%8C%DB%95%DA%A9%D8%A7%D9%86_%D9%88_%D9%86%D8%A7%D9%86%DB%95%D8%B1%DB%8E%D9%86%DB%8C%DB%8C%DB%95%DA%A9%D8%A7%D9%86" title="ژمارە نەرێنییەکان و نانەرێنییەکان – Soranî" lang="ckb" hreflang="ckb" data-title="ژمارە نەرێنییەکان و نانەرێنییەکان" data-language-autonym="کوردی" data-language-local-name="Soranî" 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/Kladn%C3%A9_a_z%C3%A1porn%C3%A9_%C4%8D%C3%ADslo" title="Kladné a záporné číslo – Tsjechisch" lang="cs" hreflang="cs" data-title="Kladné a záporné číslo" data-language-autonym="Čeština" data-language-local-name="Tsjechisch" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9C%D0%B8%D0%BD%D1%83%D1%81%D0%BB%C4%83_%D1%85%D0%B8%D1%81%D0%B5%D0%BF" title="Минуслă хисеп – Tsjoevasjisch" lang="cv" hreflang="cv" data-title="Минуслă хисеп" data-language-autonym="Чӑвашла" data-language-local-name="Tsjoevasjisch" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Rhif_negatif" title="Rhif negatif – Welsh" lang="cy" hreflang="cy" data-title="Rhif negatif" data-language-autonym="Cymraeg" data-language-local-name="Welsh" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Positive_und_negative_Zahlen" title="Positive und negative Zahlen – Duits" lang="de" hreflang="de" data-title="Positive und negative Zahlen" data-language-autonym="Deutsch" data-language-local-name="Duits" 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/%CE%91%CF%81%CE%BD%CE%B7%CF%84%CE%B9%CE%BA%CF%8C%CF%82_%CE%B1%CF%81%CE%B9%CE%B8%CE%BC%CF%8C%CF%82" title="Αρνητικός αριθμός – Grieks" lang="el" hreflang="el" data-title="Αρνητικός αριθμός" data-language-autonym="Ελληνικά" data-language-local-name="Grieks" 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/Negative_number" title="Negative number – Engels" lang="en" hreflang="en" data-title="Negative number" data-language-autonym="English" data-language-local-name="Engels" 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/Pozitivaj_kaj_negativaj_nombroj" title="Pozitivaj kaj negativaj nombroj – Esperanto" lang="eo" hreflang="eo" data-title="Pozitivaj kaj negativaj nombroj" data-language-autonym="Esperanto" data-language-local-name="Esperanto" 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/N%C3%BAmero_negativo" title="Número negativo – Spaans" lang="es" hreflang="es" data-title="Número negativo" data-language-autonym="Español" data-language-local-name="Spaans" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Zenbaki_negatibo" title="Zenbaki negatibo – Baskisch" lang="eu" hreflang="eu" data-title="Zenbaki negatibo" data-language-autonym="Euskara" data-language-local-name="Baskisch" 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%A7%D8%B9%D8%AF%D8%A7%D8%AF_%D9%85%D9%86%D9%81%DB%8C" title="اعداد منفی – Perzisch" lang="fa" hreflang="fa" data-title="اعداد منفی" data-language-autonym="فارسی" data-language-local-name="Perzisch" 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/Positiivinen_luku" title="Positiivinen luku – Fins" lang="fi" hreflang="fi" data-title="Positiivinen luku" data-language-autonym="Suomi" data-language-local-name="Fins" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Nombre_n%C3%A9gatif" title="Nombre négatif – Frans" lang="fr" hreflang="fr" data-title="Nombre négatif" data-language-autonym="Français" data-language-local-name="Frans" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gd mw-list-item"><a href="https://gd.wikipedia.org/wiki/%C3%80ireamhan_%C3%A0icheil_is_neo-%C3%A0icheil" title="Àireamhan àicheil is neo-àicheil – Schots-Gaelisch" lang="gd" hreflang="gd" data-title="Àireamhan àicheil is neo-àicheil" data-language-autonym="Gàidhlig" data-language-local-name="Schots-Gaelisch" class="interlanguage-link-target"><span>Gàidhlig</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/N%C3%BAmero_negativo" title="Número negativo – Galicisch" lang="gl" hreflang="gl" data-title="Número negativo" data-language-autonym="Galego" data-language-local-name="Galicisch" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%A1%D7%A4%D7%A8%D7%99%D7%9D_%D7%97%D7%99%D7%95%D7%91%D7%99%D7%99%D7%9D_%D7%95%D7%A9%D7%9C%D7%99%D7%9C%D7%99%D7%99%D7%9D" title="מספרים חיוביים ושליליים – Hebreeuws" lang="he" hreflang="he" data-title="מספרים חיוביים ושליליים" data-language-autonym="עברית" data-language-local-name="Hebreeuws" 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%8B%E0%A4%A3%E0%A4%BE%E0%A4%A4%E0%A5%8D%E0%A4%AE%E0%A4%95_%E0%A4%B8%E0%A4%82%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BE" title="ऋणात्मक संख्या – Hindi" lang="hi" hreflang="hi" data-title="ऋणात्मक संख्या" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Negat%C3%ADv_%C3%A9s_nemnegat%C3%ADv_sz%C3%A1mok" title="Negatív és nemnegatív számok – Hongaars" lang="hu" hreflang="hu" data-title="Negatív és nemnegatív számok" data-language-autonym="Magyar" data-language-local-name="Hongaars" 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/%D4%B2%D5%A1%D6%81%D5%A1%D5%BD%D5%A1%D5%AF%D5%A1%D5%B6_%D5%A9%D5%AB%D5%BE" title="Բացասական թիվ – Armeens" lang="hy" hreflang="hy" data-title="Բացասական թիվ" data-language-autonym="Հայերեն" data-language-local-name="Armeens" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-iba mw-list-item"><a href="https://iba.wikipedia.org/wiki/Lumur_negatif" title="Lumur negatif – Iban" lang="iba" hreflang="iba" data-title="Lumur negatif" data-language-autonym="Jaku Iban" data-language-local-name="Iban" class="interlanguage-link-target"><span>Jaku Iban</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Bilangan_riil_negatif" title="Bilangan riil negatif – Indonesisch" lang="id" hreflang="id" data-title="Bilangan riil negatif" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesisch" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Negativa_e_ne_negativa_nombri" title="Negativa e ne negativa nombri – Ido" lang="io" hreflang="io" data-title="Negativa e ne negativa nombri" 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/Formerki_(st%C3%A6r%C3%B0fr%C3%A6%C3%B0i)" title="Formerki (stærðfræði) – IJslands" lang="is" hreflang="is" data-title="Formerki (stærðfræði)" data-language-autonym="Íslenska" data-language-local-name="IJslands" 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/Numero_negativo" title="Numero negativo – Italiaans" lang="it" hreflang="it" data-title="Numero negativo" data-language-autonym="Italiano" data-language-local-name="Italiaans" 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/%E6%AD%A3%E3%81%AE%E6%95%B0%E3%81%A8%E8%B2%A0%E3%81%AE%E6%95%B0" title="正の数と負の数 – Japans" lang="ja" hreflang="ja" data-title="正の数と負の数" data-language-autonym="日本語" data-language-local-name="Japans" 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/%E1%83%A3%E1%83%90%E1%83%A0%E1%83%A7%E1%83%9D%E1%83%A4%E1%83%98%E1%83%97%E1%83%98_%E1%83%A0%E1%83%98%E1%83%AA%E1%83%AE%E1%83%95%E1%83%98" title="უარყოფითი რიცხვი – Georgisch" lang="ka" hreflang="ka" data-title="უარყოფითი რიცხვი" data-language-autonym="ქართული" data-language-local-name="Georgisch" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-km mw-list-item"><a href="https://km.wikipedia.org/wiki/%E1%9E%85%E1%9F%86%E1%9E%93%E1%9E%BD%E1%9E%93%E1%9E%A2%E1%9E%9C%E1%9E%B7%E1%9E%87%E1%9F%92%E1%9E%87%E1%9E%98%E1%9E%B6%E1%9E%93" title="ចំនួនអវិជ្ជមាន – Khmer" lang="km" hreflang="km" data-title="ចំនួនអវិជ្ជមាន" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="Khmer" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%9D%8C%EC%88%98" title="음수 – Koreaans" lang="ko" hreflang="ko" data-title="음수" data-language-autonym="한국어" data-language-local-name="Koreaans" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Signum_(numeri)" title="Signum (numeri) – Latijn" lang="la" hreflang="la" data-title="Signum (numeri)" data-language-autonym="Latina" data-language-local-name="Latijn" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Isa_miiba" title="Isa miiba – Malagassisch" lang="mg" hreflang="mg" data-title="Isa miiba" data-language-autonym="Malagasy" data-language-local-name="Malagassisch" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%8B%E0%B4%A3%E0%B4%B8%E0%B4%82%E0%B4%96%E0%B5%8D%E0%B4%AF" title="ഋണസംഖ്യ – Malayalam" lang="ml" hreflang="ml" data-title="ഋണസംഖ്യ" data-language-autonym="മലയാളം" data-language-local-name="Malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%8B%E0%A4%A3_%E0%A4%B8%E0%A4%82%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BE" title="ऋण संख्या – Marathi" lang="mr" hreflang="mr" data-title="ऋण 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/Nombor_negatif_dan_nombor_bukan_negatif" title="Nombor negatif dan nombor bukan negatif – Maleis" lang="ms" hreflang="ms" data-title="Nombor negatif dan nombor bukan negatif" data-language-autonym="Bahasa Melayu" data-language-local-name="Maleis" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-mt mw-list-item"><a href="https://mt.wikipedia.org/wiki/Numru_negattiv" title="Numru negattiv – Maltees" lang="mt" hreflang="mt" data-title="Numru negattiv" data-language-autonym="Malti" data-language-local-name="Maltees" class="interlanguage-link-target"><span>Malti</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Negativt_tal" title="Negativt tal – Noors - Nynorsk" lang="nn" hreflang="nn" data-title="Negativt tal" data-language-autonym="Norsk nynorsk" data-language-local-name="Noors - 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/Negative_tall" title="Negative tall – Noors - Bokmål" lang="nb" hreflang="nb" data-title="Negative tall" data-language-autonym="Norsk bokmål" data-language-local-name="Noors - Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Nombre_negatiu" title="Nombre negatiu – Occitaans" lang="oc" hreflang="oc" data-title="Nombre negatiu" data-language-autonym="Occitan" data-language-local-name="Occitaans" 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/Lakkoofsa_wawwee" title="Lakkoofsa wawwee – Afaan Oromo" lang="om" hreflang="om" data-title="Lakkoofsa wawwee" data-language-autonym="Oromoo" data-language-local-name="Afaan Oromo" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Znak_liczby" title="Znak liczby – Pools" lang="pl" hreflang="pl" data-title="Znak liczby" data-language-autonym="Polski" data-language-local-name="Pools" 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/%D9%86%DB%8C%DA%AF%DB%8C%D9%B9%D9%88_%D9%86%D9%85%D8%A8%D8%B1" title="نیگیٹو نمبر – Western Punjabi" lang="pnb" hreflang="pnb" data-title="نیگیٹو نمبر" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/N%C3%BAmero_negativo" title="Número negativo – Portugees" lang="pt" hreflang="pt" data-title="Número negativo" data-language-autonym="Português" data-language-local-name="Portugees" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Num%C4%83r_negativ" title="Număr negativ – Roemeens" lang="ro" hreflang="ro" data-title="Număr negativ" data-language-autonym="Română" data-language-local-name="Roemeens" 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%9E%D1%82%D1%80%D0%B8%D1%86%D0%B0%D1%82%D0%B5%D0%BB%D1%8C%D0%BD%D0%BE%D0%B5_%D1%87%D0%B8%D1%81%D0%BB%D0%BE" title="Отрицательное число – Russisch" lang="ru" hreflang="ru" data-title="Отрицательное число" data-language-autonym="Русский" data-language-local-name="Russisch" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sah mw-list-item"><a href="https://sah.wikipedia.org/wiki/%D0%9C%D1%8D%D0%BB%D0%B4%D1%8C%D1%8D%D1%85%D1%82%D1%8D%D1%8D%D1%85_%D1%87%D1%8B%D1%8B%D2%BB%D1%8B%D0%BB%D0%B0%D0%BB%D0%B0%D1%80" title="Мэлдьэхтээх чыыһылалар – Jakoets" lang="sah" hreflang="sah" data-title="Мэлдьэхтээх чыыһылалар" data-language-autonym="Саха тыла" data-language-local-name="Jakoets" class="interlanguage-link-target"><span>Саха тыла</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Negative_number" title="Negative number – Simple English" lang="en-simple" hreflang="en-simple" data-title="Negative number" 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/Z%C3%A1porn%C3%A9_%C4%8D%C3%ADslo" title="Záporné číslo – Slowaaks" lang="sk" hreflang="sk" data-title="Záporné číslo" data-language-autonym="Slovenčina" data-language-local-name="Slowaaks" 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/Negativno_%C5%A1tevilo" title="Negativno število – Sloveens" lang="sl" hreflang="sl" data-title="Negativno število" data-language-autonym="Slovenščina" data-language-local-name="Sloveens" 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/Nhamba_Hwaradada" title="Nhamba Hwaradada – Shona" lang="sn" hreflang="sn" data-title="Nhamba Hwaradada" 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/Thiinada_taban" title="Thiinada taban – Somalisch" lang="so" hreflang="so" data-title="Thiinada taban" data-language-autonym="Soomaaliga" data-language-local-name="Somalisch" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9D%D0%B5%D0%B3%D0%B0%D1%82%D0%B8%D0%B2%D0%B0%D0%BD_%D0%B1%D1%80%D0%BE%D1%98" title="Негативан број – Servisch" lang="sr" hreflang="sr" data-title="Негативан број" data-language-autonym="Српски / srpski" data-language-local-name="Servisch" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Negativa_tal" title="Negativa tal – Zweeds" lang="sv" hreflang="sv" data-title="Negativa tal" data-language-autonym="Svenska" data-language-local-name="Zweeds" 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/Namba_hasi" title="Namba hasi – Swahili" lang="sw" hreflang="sw" data-title="Namba hasi" data-language-autonym="Kiswahili" data-language-local-name="Swahili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%8E%E0%AE%A4%E0%AE%BF%E0%AE%B0%E0%AF%8D%E0%AE%AE_%E0%AE%8E%E0%AE%A3%E0%AF%8D" title="எதிர்ம எண் – Tamil" lang="ta" hreflang="ta" data-title="எதிர்ம எண்" data-language-autonym="தமிழ்" data-language-local-name="Tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%88%E0%B8%B3%E0%B8%99%E0%B8%A7%E0%B8%99%E0%B8%A5%E0%B8%9A%E0%B9%81%E0%B8%A5%E0%B8%B0%E0%B8%88%E0%B8%B3%E0%B8%99%E0%B8%A7%E0%B8%99%E0%B9%84%E0%B8%A1%E0%B9%88%E0%B9%80%E0%B8%9B%E0%B9%87%E0%B8%99%E0%B8%A5%E0%B8%9A" title="จำนวนลบและจำนวนไม่เป็นลบ – Thai" lang="th" hreflang="th" data-title="จำนวนลบและจำนวนไม่เป็นลบ" data-language-autonym="ไทย" data-language-local-name="Thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Negatif_say%C4%B1" title="Negatif sayı – Turks" lang="tr" hreflang="tr" data-title="Negatif sayı" data-language-autonym="Türkçe" data-language-local-name="Turks" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%92%D1%96%D0%B4%27%D1%94%D0%BC%D0%BD%D0%B5_%D1%87%D0%B8%D1%81%D0%BB%D0%BE" title="Від'ємне число – Oekraïens" lang="uk" hreflang="uk" data-title="Від'ємне число" data-language-autonym="Українська" data-language-local-name="Oekraïens" 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/%D9%85%D9%86%D9%81%DB%8C_%D8%B9%D8%AF%D8%AF" title="منفی عدد – Urdu" lang="ur" hreflang="ur" data-title="منفی عدد" data-language-autonym="اردو" data-language-local-name="Urdu" 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/Manfiy_sonlar" title="Manfiy sonlar – Oezbeeks" lang="uz" hreflang="uz" data-title="Manfiy sonlar" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Oezbeeks" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/S%E1%BB%91_%C3%A2m" title="Số âm – Vietnamees" lang="vi" hreflang="vi" data-title="Số âm" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamees" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E8%B4%9F%E6%95%B0" title="负数 – Wuyu" lang="wuu" hreflang="wuu" data-title="负数" data-language-autonym="吴语" data-language-local-name="Wuyu" 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/%D0%AD%D1%81%D1%80%D0%B3%D2%AF_%D1%82%D0%BE%D0%B9%D0%B3" title="Эсргү тойг – Kalmuks" lang="xal" hreflang="xal" data-title="Эсргү тойг" data-language-autonym="Хальмг" data-language-local-name="Kalmuks" class="interlanguage-link-target"><span>Хальмг</span></a></li><li class="interlanguage-link interwiki-yo mw-list-item"><a href="https://yo.wikipedia.org/wiki/N%E1%BB%8D%CC%81mb%C3%A0_al%C3%B2d%C3%AC_%C3%A0ti_n%E1%BB%8D%CC%81mb%C3%A0_ad%C3%A1j%C3%BA" title="Nọ́mbà alòdì àti nọ́mbà adájú – Yoruba" lang="yo" hreflang="yo" data-title="Nọ́mbà alòdì àti nọ́mbà adájú" 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/%E2%B4%B0%E2%B5%8E%E2%B4%B9%E2%B4%B0%E2%B5%8F_%E2%B4%B0%E2%B5%8E%E2%B4%B0%E2%B4%BD%E2%B4%BD%E2%B4%B0%E2%B5%99" title="ⴰⵎⴹⴰⵏ ⴰⵎⴰⴽⴽⴰⵙ – Standaard Marokkaanse Tamazight" lang="zgh" hreflang="zgh" data-title="ⴰⵎⴹⴰⵏ ⴰⵎⴰⴽⴽⴰⵙ" data-language-autonym="ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ" data-language-local-name="Standaard Marokkaanse Tamazight" 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/%E8%B4%9F%E6%95%B0" title="负数 – Chinees" lang="zh" hreflang="zh" data-title="负数" data-language-autonym="中文" data-language-local-name="Chinees" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E8%B2%A0%E6%95%B8" title="負數 – Klassiek Chinees" lang="lzh" hreflang="lzh" data-title="負數" data-language-autonym="文言" data-language-local-name="Klassiek Chinees" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E8%B2%A0%E6%95%B8" title="負數 – Kantonees" lang="yue" hreflang="yue" data-title="負數" data-language-autonym="粵語" data-language-local-name="Kantonees" class="interlanguage-link-target"><span>粵語</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/Q200227#sitelinks-wikipedia" title="Taalkoppelingen bewerken" class="wbc-editpage">Koppelingen bewerken</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="Naamruimten"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Negatief_getal" title="Inhoudspagina bekijken [c]" accesskey="c"><span>Artikel</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Overleg:Negatief_getal" rel="discussion" title="Overleg over 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href="/w/index.php?title=Gebruiker:IDenni&action=edit&redlink=1" class="new mw-userlink" title="Gebruiker:IDenni (de pagina bestaat niet)" data-mw-revid="35348833"><bdi>IDenni</bdi></a> <span class="mw-usertoollinks">(<a href="/wiki/Overleg_gebruiker:IDenni" class="mw-usertoollinks-talk" title="Overleg gebruiker:IDenni">overleg</a> | <a href="/wiki/Speciaal:Bijdragen/IDenni" class="mw-usertoollinks-contribs" title="Speciaal:Bijdragen/IDenni">bijdragen</a>)</span> op 2 mrt 2013 om 10:59. <br />Deze versie kan sterk verschillen van de <a class="mw-selflink selflink">huidige versie</a> van deze pagina.</div><div id="mw-revision-nav">(<a href="/w/index.php?title=Negatief_getal&diff=prev&oldid=35348833" title="Negatief getal">wijz</a>) <a href="/w/index.php?title=Negatief_getal&direction=prev&oldid=35348833" title="Negatief getal">← Oudere versie</a> | <a href="/wiki/Negatief_getal" title="Negatief getal">Huidige versie</a> (<a href="/w/index.php?title=Negatief_getal&diff=cur&oldid=35348833" title="Negatief getal">wijz</a>) | <a href="/w/index.php?title=Negatief_getal&direction=next&oldid=35348833" title="Negatief getal">Nieuwere versie →</a> (<a href="/w/index.php?title=Negatief_getal&diff=next&oldid=35348833" title="Negatief getal">wijz</a>)</div></div></div></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="nl" dir="ltr"><p>Een <b>negatief</b> <a href="/wiki/Getal_(wiskunde)" title="Getal (wiskunde)">getal</a> is in Nederland een getal dat kleiner is dan <a href="/wiki/0_(getal)" title="0 (getal)">0</a>. In België noemt men een dergelijk getal een <b>strikt negatief</b> getal. </p><p>Een (strikt) negatief getal is het <a href="/wiki/Tegengestelde_(wiskunde)" title="Tegengestelde (wiskunde)">tegengestelde</a> van het overeenkomstige (strikt) positieve getal, wat inhoudt dat <a href="/wiki/Optellen" title="Optellen">optelling</a> van beide getallen als <a href="/wiki/Sommatie" title="Sommatie">som</a> het getal <a href="/wiki/0_(getal)" title="0 (getal)">0</a> oplevert. </p><p>Negatieve getallen zijn te herkennen aan een <a href="/wiki/Minteken" title="Minteken">minteken</a> (−), dat voor het overeenkomstige <a href="/wiki/Positief_getal" title="Positief getal">positieve</a> getal is geplaatst. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="De_getallenlijn">De getallenlijn</h2></div> <div class="hatnote" style="margin-bottom:0.5em; padding:0.5em 0 0.5em 1.6em; font-size:95%;" role="note"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ee/1rightarrow_blue.svg/15px-1rightarrow_blue.svg.png" decoding="async" width="15" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ee/1rightarrow_blue.svg/23px-1rightarrow_blue.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ee/1rightarrow_blue.svg/30px-1rightarrow_blue.svg.png 2x" data-file-width="480" data-file-height="480" /></span></span> <i>Zie <a href="/wiki/Getallenlijn" title="Getallenlijn">Getallenlijn</a> voor het hoofdartikel over dit onderwerp.</i></div> <p>De relatie tussen negatieve getallen, positieve getallen en nul wordt vaak grafisch afgebeeld in de vorm van een <i><a href="/wiki/Getallenlijn" title="Getallenlijn">getallenlijn</a></i>: </p> <figure class="mw-default-size mw-halign-center" typeof="mw:File"><a href="/wiki/Bestand:Number-line.gif" class="mw-file-description" title="De getallenlijn"><img alt="De getallenlijn" src="//upload.wikimedia.org/wikipedia/commons/0/09/Number-line.gif" decoding="async" width="750" height="57" class="mw-file-element" data-file-width="750" data-file-height="57" /></a><figcaption>De getallenlijn</figcaption></figure> <p>Hoe meer naar rechts een getal zich op de getallenlijn bevindt hoe groter dit getal is. Van twee getallen op de getallenlijn is het rechter getal groter dan het linker. Op de grens van de positieve getallen en de negatieve getallen bevindt zich het getal <a href="/wiki/0_(getal)" title="0 (getal)">nul</a>. Rechts daarvan staan de positieve getallen en links ervan de negatieve. </p> <div class="mw-heading mw-heading2"><h2 id="Symbolen">Symbolen</h2></div> <p>De volgende symbolen worden in de <a href="/wiki/Wiskunde" title="Wiskunde">wiskunde</a> voor negatieve getallen gebruikt: </p> <ul><li>De verzameling der negatieve <a href="/wiki/Re%C3%ABel_getal" title="Reëel getal">reële getallen</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 \mathbb {R} ^{-}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">R</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {R} ^{-}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/158001a03e958f49f5885033776a420fc47b7267" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.189ex; height:2.509ex;" alt="{\displaystyle \mathbb {R} ^{-}}"></span></li> <li>De verzameling der negatieve <a href="/wiki/Rationaal_getal" title="Rationaal getal">rationale getallen</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 \mathbb {Q} ^{-}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Q</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {Q} ^{-}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4ce42e684e47c9f1d9985e8ddd841ed75b213dd6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.319ex; height:2.843ex;" alt="{\displaystyle \mathbb {Q} ^{-}}"></span></li> <li>De verzameling der negatieve <a href="/wiki/Geheel_getal" title="Geheel getal">gehele getallen</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 \mathbb {Z} ^{-}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Z</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathbb {Z} ^{-}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1d265f6ad41c1623a6477b2cb4336208c7b6c1d6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.061ex; height:2.509ex;" alt="{\displaystyle \mathbb {Z} ^{-}}"></span></li></ul> <p>Voor de <a href="/wiki/Natuurlijk_getal" title="Natuurlijk getal">natuurlijke getallen</a> bestaat uiteraard geen symbool, gezien deze geen negatieve getallen bevat. </p> <div class="mw-heading mw-heading2"><h2 id="Verschil_in_definitie_tussen_Nederland_en_België"><span id="Verschil_in_definitie_tussen_Nederland_en_Belgi.C3.AB"></span>Verschil in definitie tussen Nederland en België</h2></div> <p>In België en Frankrijk wordt het getal 0 als zowel positief als negatief beschouwd. In Nederland geldt het getal 0 noch als negatief noch als positief. Getallen kleiner dan nul worden in België <i>strikt negatief</i> genoemd. </p> <div class="mw-heading mw-heading2"><h2 id="Wiskundige_definitie">Wiskundige definitie</h2></div> <p>Een definitie van het minteken wordt gegeven bij de voorwaarden voor een <a href="/wiki/Lichaam_(Ned)_/_Veld_(Be)" title="Lichaam (Ned) / Veld (Be)">Lichaam (Ned) / Veld (Be)</a>. De definitie is te schrijven als: </p> <dl><dd><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 \forall a\in L}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">∀</mi> <mi>a</mi> <mo>∈</mo> <mi>L</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \forall a\in L}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ac142b46694ac9689501dad83a9ae5352fc1a565" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.946ex; height:2.176ex;" alt="{\displaystyle \forall a\in L}"></span> is er een <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)\in L}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mo>−</mo> <mi>a</mi> <mo stretchy="false">)</mo> <mo>∈</mo> <mi>L</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (-a)\in L}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ad837df79609ee0d11ea740041f9c3286ab683b0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:9.271ex; height:2.843ex;" alt="{\displaystyle (-a)\in L}"></span> waarvoor geldt dat <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+(-a)=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>+</mo> <mo stretchy="false">(</mo> <mo>−</mo> <mi>a</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a+(-a)=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7bee04ca35f37fa95ee387e42959af9038fb8251" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:13.178ex; height:2.843ex;" alt="{\displaystyle a+(-a)=0}"></span></dd></dl> <p>Hierbij is <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 L}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>L</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle L}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/103168b86f781fe6e9a4a87b8ea1cebe0ad4ede8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.583ex; height:2.176ex;" alt="{\displaystyle L}"></span> een lichaam. </p> <div class="mw-heading mw-heading3"><h3 id="min_x_min_=_plus"><span id="min_x_min_.3D_plus"></span>min x min = plus</h3></div> <p>Een van de meest gehoorde wiskundige regeltjes is "min keer min is plus". Dit is te bewijzen met de bovenstaande definitie: Men neme <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\in L}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>∈</mo> <mi>L</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a\in L}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5299b8fd0430922b749b1febfd9e762300e49ad9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.653ex; height:2.176ex;" alt="{\displaystyle a\in L}"></span>. Hiervoor geldt volgens de definitie: </p> <dl><dd><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+(-a)=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>+</mo> <mo stretchy="false">(</mo> <mo>−</mo> <mi>a</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a+(-a)=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7bee04ca35f37fa95ee387e42959af9038fb8251" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:13.178ex; height:2.843ex;" alt="{\displaystyle a+(-a)=0}"></span></dd></dl> <p>Men neme nu <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"> <mo stretchy="false">(</mo> <mo>−</mo> <mi>a</mi> <mo stretchy="false">)</mo> </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/a481c59f1c92c692cfcb4320af4ee08bf7a925af" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.847ex; height:2.843ex;" alt="{\displaystyle (-a)}"></span>. Dit getal zit ook in <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 L}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>L</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle L}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/103168b86f781fe6e9a4a87b8ea1cebe0ad4ede8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.583ex; height:2.176ex;" alt="{\displaystyle L}"></span> dus geldt: </p> <dl><dd><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)+(-(-a))=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mo>−</mo> <mi>a</mi> <mo stretchy="false">)</mo> <mo>+</mo> <mo stretchy="false">(</mo> <mo>−</mo> <mo stretchy="false">(</mo> <mo>−</mo> <mi>a</mi> <mo stretchy="false">)</mo> <mo stretchy="false">)</mo> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (-a)+(-(-a))=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2dd7aadcba53509d7aae0d3442ed2e41beafb441" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:20.413ex; height:2.843ex;" alt="{\displaystyle (-a)+(-(-a))=0}"></span></dd></dl> <p>Dus geldt: </p> <dl><dd><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+(-a)=(-a)+(-(-a))}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>+</mo> <mo stretchy="false">(</mo> <mo>−</mo> <mi>a</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mo stretchy="false">(</mo> <mo>−</mo> <mi>a</mi> <mo stretchy="false">)</mo> <mo>+</mo> <mo stretchy="false">(</mo> <mo>−</mo> <mo stretchy="false">(</mo> <mo>−</mo> <mi>a</mi> <mo stretchy="false">)</mo> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a+(-a)=(-a)+(-(-a))}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ef65edfd6aad1f39acd5778de5b3030276590f09" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:28.168ex; height:2.843ex;" alt="{\displaystyle a+(-a)=(-a)+(-(-a))}"></span></dd></dl> <p>Nu strepen we aan beide kanten <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"> <mo stretchy="false">(</mo> <mo>−</mo> <mi>a</mi> <mo stretchy="false">)</mo> </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/a481c59f1c92c692cfcb4320af4ee08bf7a925af" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.847ex; height:2.843ex;" alt="{\displaystyle (-a)}"></span> weg: </p> <dl><dd><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=(-(-a))}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>=</mo> <mo stretchy="false">(</mo> <mo>−</mo> <mo stretchy="false">(</mo> <mo>−</mo> <mi>a</mi> <mo stretchy="false">)</mo> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a=(-(-a))}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3b9f38eeb5bdfe364b1d3710ea8067d355f1c4ee" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.793ex; height:2.843ex;" alt="{\displaystyle a=(-(-a))}"></span></dd></dl> <p>Oftewel "min keer min is plus". </p> <div class="mw-heading mw-heading2"><h2 id="Geschiedenis">Geschiedenis</h2></div> <p>Negatieve getallen verschijnen voor het eerst in de geschiedenis in <i><a href="/wiki/De_negen_hoofdstukken_van_de_wiskundige_kunst" class="mw-redirect" title="De negen hoofdstukken van de wiskundige kunst">De negen hoofdstukken van de wiskundige kunst</a></i> (<i>Jiu zhang suan-shu</i>), dat in zijn huidige vorm uit de periode van de <a href="/wiki/Han-dynastie" title="Han-dynastie">Han-dynastie</a> (202 v.Chr. - 220 n.Chr.) dateert, maar dat ook veel ouder materiaal kan bevatten. De <i>Negen hoofdstukken</i> gebruiken rode <a href="/w/index.php?title=Telstaafje&action=edit&redlink=1" class="new" title="Telstaafje (de pagina bestaat niet)">telstaafjes</a> om positieve <a href="/wiki/Co%C3%ABffici%C3%ABnt" title="Coëfficiënt">coëfficiënten</a> en zwarte staafjes om negatieve coëfficiënten aan te geven.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> Dit kleursysteem is merkwaardigerwijs precies tegengesteld aan de hedendaagse gewoonte in de financiële wereld om <a href="/w/index.php?title=Rode_cijfers&action=edit&redlink=1" class="new" title="Rode cijfers (de pagina bestaat niet)">rode cijfers</a> te gebruiken om negatieve - en zwarte cijfers om positieve bedragen weer te geven. De Chinezen waren ook in staat om simultane vergelijkingen met negatieve getallen op te lossen. </p><p>Lange tijd werden negatieve oplossingen voor problemen als "verkeerd" beschouwd. In het <a href="/w/index.php?title=Hellenistische_Egypte&action=edit&redlink=1" class="new" title="Hellenistische Egypte (de pagina bestaat niet)">Hellenistische Egypte</a> verwees de <a href="/wiki/Oud-Griekse_wiskunde" title="Oud-Griekse wiskunde">Oud-Griekse</a> wiskundige <a href="/wiki/Diophantus" title="Diophantus">Diophantus</a> in zijn <i><a href="/wiki/Arithmetica" title="Arithmetica">Arithmetica</a></i> in de <a href="/wiki/Derde_eeuw" class="mw-redirect" title="Derde eeuw">derde eeuw n.Chr.</a> naar een <a href="/wiki/Vergelijking_(wiskunde)" title="Vergelijking (wiskunde)">vergelijking</a> die <a href="/wiki/Equivalentierelatie" title="Equivalentierelatie">gelijkwaardig</a> was aan 4<i>x</i> + 20 = 0 (deze vergelijking heeft een negatieve <a href="/wiki/Oplossen_van_vergelijkingen" title="Oplossen van vergelijkingen">oplossing</a>) als zijnde een absurde vergelijking. </p><p>In de 7e eeuw na Christus werden negatieve getallen in <a href="/wiki/India" title="India">India</a> gebruikt om <a href="/wiki/Schuld_(economie)" class="mw-redirect" title="Schuld (economie)">schulden</a> weer te geven. De <a href="/wiki/Indiase_wiskunde" title="Indiase wiskunde">Indiase wiskundige</a> <a href="/wiki/Brahmagupta" title="Brahmagupta">Brahmagupta</a> bediscussieert in <i><a href="/wiki/Brahmasphuta-siddhanta" title="Brahmasphuta-siddhanta">Brahmasphuta-siddhanta</a></i> (geschreven in 628 n.Chr.) het gebruik van negatieve getallen om zo de algemene vorm van een <a href="/wiki/Vierkantsvergelijking" title="Vierkantsvergelijking">kwadratische formule</a> te produceren, die ook nu nog in gebruik is. Hij vond ook negatieve oplossingen van <a href="/wiki/Vierkantsvergelijking" title="Vierkantsvergelijking">vierkantsvergelijkingen</a> en gaf regels met betrekking tot <a href="/wiki/Basisoperatie" class="mw-redirect" title="Basisoperatie">basisoperaties</a>, waarbij negatieve getallen en ook het getal <a href="/wiki/0_(getal)" title="0 (getal)">nul</a> deel van uitmaakten, zoals '<i>Een schuld afgetrokken van het niets wordt een krediet, een krediet afgetrokken van het niets wordt een schuld."</i> Hij noemde positieve getallen "fortuinen", nul "een <a href="/wiki/Cijfer" title="Cijfer">cijfer</a>" en negatieve getallen "schulden".<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p><p>Kennis van de negatieve getallen bereikte dankzij <a href="/wiki/Latijn" title="Latijn">Latijnse</a> vertalingen van Arabische en Indiase werken uiteindelijk Europa. </p><p>Europese wiskundigen verzetten zich voor het grootste deel tot in de 17e eeuw tegen het concept van negatieve getallen, hoewel <a href="/wiki/Leonardo_van_Pisa#Belangrijke_publicaties" class="mw-redirect" title="Leonardo van Pisa">Fibonacci</a> negatieve oplossingen in financiële problemen toestond, waar zij als schulden konden worden geïnterpreteerd (hoofdstuk 13 van <i><a href="/w/index.php?title=Liber_Abaci&action=edit&redlink=1" class="new" title="Liber Abaci (de pagina bestaat niet)">Liber Abaci</a></i>, 1202 n.Chr) en later als <a href="/w/index.php?title=Verlies_(economie)&action=edit&redlink=1" class="new" title="Verlies (economie) (de pagina bestaat niet)">verliezen</a> (in <i><a href="/wiki/Leonardo_van_Pisa" class="mw-redirect" title="Leonardo van Pisa">Flos</a></i>). </p><p>In de 15e eeuw gebruikte de <a href="/wiki/Frankrijk" title="Frankrijk">Franse</a> wiskundige, <a href="/w/index.php?title=Nicolas_Chuquet&action=edit&redlink=1" class="new" title="Nicolas Chuquet (de pagina bestaat niet)">Nicolas Chuquet</a> negatieve getallen als <a href="/wiki/Machtsverheffen" title="Machtsverheffen">exponenten</a> en verwees hiernaar als "absurde getallen". </p> <div class="mw-heading mw-heading2"><h2 id="Zie_ook">Zie ook</h2></div> <ul><li><a href="/wiki/Positief_getal" title="Positief getal">Positief getal</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Voetnoten">Voetnoten</h2></div> <div class="reflist" style="list-style-type: decimal;"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r67679320">.mw-parser-output .taalaanduiding{font-family:sans-serif;font-size:85%;cursor:help;color:var(--color-subtle,#555)}.mw-parser-output .taalaanduiding span{border-bottom:1px dotted var(--color-subtle,#555)}</style><span class="taalaanduiding" title="Taal: Engels">(<span>en</span>) </span> <span style="font-variant:small-caps;">Temple, Robert</span> (1986), <i>The Genius of China: 3000 Years of of Science, Discovery, and Invention</i>. Met een voorword door <a href="/wiki/Joseph_Needham" title="Joseph Needham">Joseph Needham</a>. New York: <a href="/wiki/Simon_%26_Schuster" title="Simon & Schuster">Simon & Schuster</a>, Inc. <a href="/wiki/Speciaal:Boekbronnen/0671620282" class="internal mw-magiclink-isbn">ISBN 0671620282</a>. blz. 141.</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text"> Colva M. Roney-Dougal, docent in de zuivere wiskunde aan de <a href="/wiki/Universiteit_van_St._Andrews" class="mw-redirect" title="Universiteit van St. Andrews">Universiteit van St. Andrews</a> verklaarde dit op de <a href="/wiki/BBC_Radio_4" title="BBC Radio 4">BBC Radio 4</a> programma "In Our Time", op <a href="/wiki/9_maart" title="9 maart">9 maart</a> <a href="/wiki/2006" title="2006">2006</a>.</span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><a href="#cite_ref-3">↑</a></span> <span class="reference-text"> <i>Knowledge Transfer and Perceptions of the Passage of Time</i>, ICEE-2002 Keynote Address door Colin Adamson-Macedo. "<i>Referring again to Brahmagupta's great work, all the necessary rules for algebra, including the 'rule of signs', were stipulated, but in a form which used the language and imagery of commerce and the market place. Thus 'dhana' (= fortunes) is used to represent positive numbers, whereas 'rina' (= debts) were negative</i>". "<i>Opnieuw verwijzend naar het grote werk van Brahmagupta, alle nodige regels voor de algebra, met inbegrip van de 'tekenregels', waren hierin opgesteld, maar in een vorm die de taal en de beeldtaal van de handel en de markt gebruikte. Dus wordt 'dhana' (=fortuinen) gebruikt om positieve getallen weer te geven, terwijl 'rina' (=schulden) voor negatieve getallen wordt gebruikt</i>".</span> </li> </ol></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&useformat=desktop" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Overgenomen van "<a dir="ltr" href="https://nl.wikipedia.org/w/index.php?title=Negatief_getal&oldid=35348833">https://nl.wikipedia.org/w/index.php?title=Negatief_getal&oldid=35348833</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Categorie:Alles" title="Categorie:Alles">Categorie</a>: <ul><li><a href="/wiki/Categorie:Getal" title="Categorie:Getal">Getal</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Verborgen categorie: <ul><li><a href="/wiki/Categorie:Wikipedia:Pagina%27s_die_ISBN_magische_links_gebruiken" title="Categorie:Wikipedia:Pagina's die ISBN magische links gebruiken">Wikipedia:Pagina's die ISBN magische links gebruiken</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"> Deze pagina is voor het laatst bewerkt op 2 mrt 2013 om 10:59.</li> <li id="footer-info-copyright">De tekst is beschikbaar onder de licentie <a rel="nofollow" class="external text" href="//creativecommons.org/licenses/by-sa/4.0/deed.nl">Creative Commons Naamsvermelding/Gelijk delen</a>, er kunnen aanvullende voorwaarden van toepassing zijn. 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