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Decimaal talstelsel - Wikipedia

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<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">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-Beschrijving" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Beschrijving"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Beschrijving</span> </div> </a> <button aria-controls="toc-Beschrijving-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>Beschrijving-subkopje inklappen</span> </button> <ul id="toc-Beschrijving-sublist" class="vector-toc-list"> <li id="toc-Weergave_van_getallen_in_het_decimale_stelsel" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Weergave_van_getallen_in_het_decimale_stelsel"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>Weergave van getallen in het decimale stelsel</span> </div> </a> <ul id="toc-Weergave_van_getallen_in_het_decimale_stelsel-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Decimale_breuk,_fractie" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Decimale_breuk,_fractie"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>Decimale breuk, fractie</span> </div> </a> <ul id="toc-Decimale_breuk,_fractie-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Irrationale_getallen" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Irrationale_getallen"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.3</span> <span>Irrationale getallen</span> </div> </a> <ul id="toc-Irrationale_getallen-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Uitspraak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Uitspraak"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Uitspraak</span> </div> </a> <button aria-controls="toc-Uitspraak-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>Uitspraak-subkopje inklappen</span> </button> <ul id="toc-Uitspraak-sublist" class="vector-toc-list"> <li id="toc-Groepering" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Groepering"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Groepering</span> </div> </a> <ul id="toc-Groepering-sublist" class="vector-toc-list"> <li id="toc-Getallen" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Getallen"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1.1</span> <span>Getallen</span> </div> </a> <ul id="toc-Getallen-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Getallen_van_vier_cijfers" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Getallen_van_vier_cijfers"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1.2</span> <span>Getallen van vier cijfers</span> </div> </a> <ul id="toc-Getallen_van_vier_cijfers-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Nummers" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Nummers"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1.3</span> <span>Nummers</span> </div> </a> <ul id="toc-Nummers-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Decimaal,_als_aanduiding_van_nauwkeurigheid" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Decimaal,_als_aanduiding_van_nauwkeurigheid"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>Decimaal, als aanduiding van nauwkeurigheid</span> </div> </a> <ul id="toc-Decimaal,_als_aanduiding_van_nauwkeurigheid-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Andere_talstelsels" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Andere_talstelsels"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Andere talstelsels</span> </div> </a> <ul id="toc-Andere_talstelsels-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">Decimaal talstelsel</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 86 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-86" 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">86 talen</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Dezimalsystem" title="Dezimalsystem – Zwitserduits" lang="gsw" hreflang="gsw" data-title="Dezimalsystem" data-language-autonym="Alemannisch" data-language-local-name="Zwitserduits" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%86%D8%B8%D8%A7%D9%85_%D8%B9%D8%AF_%D8%B9%D8%B4%D8%B1%D9%8A" title="نظام عد عشري – Arabisch" lang="ar" hreflang="ar" data-title="نظام عد عشري" 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/Sistema_de_numberaci%C3%B3n_decimal" title="Sistema de numberación decimal – Asturisch" lang="ast" hreflang="ast" data-title="Sistema de numberación decimal" 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/Onluq_sistemi" title="Onluq sistemi – Azerbeidzjaans" lang="az" hreflang="az" data-title="Onluq sistemi" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbeidzjaans" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%A3%D0%BD%D0%B0%D1%80%D0%BB%D1%8B_%D0%B8%D2%AB%D3%99%D0%BF%D0%BB%D3%99%D2%AF_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D0%B0%D2%BB%D1%8B" title="Унарлы иҫәпләү системаһы – Basjkiers" lang="ba" hreflang="ba" data-title="Унарлы иҫәпләү системаһы" data-language-autonym="Башҡортса" data-language-local-name="Basjkiers" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Desimal" title="Desimal – Central Bikol" lang="bcl" hreflang="bcl" data-title="Desimal" data-language-autonym="Bikol Central" data-language-local-name="Central Bikol" class="interlanguage-link-target"><span>Bikol Central</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%94%D0%B7%D0%B5%D1%81%D1%8F%D1%82%D0%BA%D0%BE%D0%B2%D0%B0%D1%8F_%D1%81%D1%96%D1%81%D1%82%D1%8D%D0%BC%D0%B0_%D0%B7%D0%BB%D1%96%D1%87%D1%8D%D0%BD%D0%BD%D1%8F" title="Дзесятковая сістэма злічэння – Belarussisch" lang="be" hreflang="be" data-title="Дзесятковая сістэма злічэння" 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%94%D0%B7%D0%B5%D1%81%D1%8F%D1%82%D0%BA%D0%BE%D0%B2%D0%B0%D1%8F_%D1%81%D1%8B%D1%81%D1%82%D1%8D%D0%BC%D0%B0_%D0%B7%D1%8C%D0%BB%D1%96%D1%87%D1%8D%D0%BD%D1%8C%D0%BD%D1%8F" title="Дзесятковая сыстэма зьлічэньня – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Дзесятковая сыстэма зьлічэньня" 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%94%D0%B5%D1%81%D0%B5%D1%82%D0%B8%D1%87%D0%BD%D0%B0_%D0%B1%D1%80%D0%BE%D0%B9%D0%BD%D0%B0_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D0%B0" title="Десетична бройна система – Bulgaars" lang="bg" hreflang="bg" data-title="Десетична бройна система" data-language-autonym="Български" data-language-local-name="Bulgaars" 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%A6%A6%E0%A6%B6%E0%A6%AE%E0%A6%BF%E0%A6%95_%E0%A6%AA%E0%A6%A6%E0%A7%8D%E0%A6%A7%E0%A6%A4%E0%A6%BF" title="দশমিক পদ্ধতি – Bengaals" lang="bn" hreflang="bn" data-title="দশমিক পদ্ধতি" 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/Dispakadur_dekredel" title="Dispakadur dekredel – Bretons" lang="br" hreflang="br" data-title="Dispakadur dekredel" 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/Dekadni_sistem_brojeva" title="Dekadni sistem brojeva – Bosnisch" lang="bs" hreflang="bs" data-title="Dekadni sistem brojeva" data-language-autonym="Bosanski" data-language-local-name="Bosnisch" 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/Nombre_decimal" title="Nombre decimal – Catalaans" lang="ca" hreflang="ca" data-title="Nombre decimal" 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/%D8%AF%DB%95%D8%AF%DB%95%DB%8C%DB%8C" title="دەدەیی – Soranî" lang="ckb" hreflang="ckb" data-title="دەدەیی" 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/Des%C3%ADtkov%C3%A1_soustava" title="Desítková soustava – Tsjechisch" lang="cs" hreflang="cs" data-title="Desítková soustava" 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%92%D1%83%D0%BD%D1%88%D0%B0%D1%80%D0%BB%C4%83_%D1%88%D1%83%D1%82_%D1%82%D1%8B%D1%82%C4%83%D0%BC%C4%95" title="Вуншарлă шут тытăмĕ – Tsjoevasjisch" lang="cv" hreflang="cv" data-title="Вуншарлă шут тытăмĕ" 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/Degol" title="Degol – Welsh" lang="cy" hreflang="cy" data-title="Degol" 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/Dezimalsystem" title="Dezimalsystem – Duits" lang="de" hreflang="de" data-title="Dezimalsystem" 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%94%CE%B5%CE%BA%CE%B1%CE%B4%CE%B9%CE%BA%CF%8C_%CF%83%CF%8D%CF%83%CF%84%CE%B7%CE%BC%CE%B1" title="Δεκαδικό σύστημα – Grieks" lang="el" hreflang="el" data-title="Δεκαδικό σύστημα" 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/Decimal" title="Decimal – Engels" lang="en" hreflang="en" data-title="Decimal" 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/Dekuma_nombrosistemo" title="Dekuma nombrosistemo – Esperanto" lang="eo" hreflang="eo" data-title="Dekuma nombrosistemo" 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/Sistema_de_numeraci%C3%B3n_decimal" title="Sistema de numeración decimal – Spaans" lang="es" hreflang="es" data-title="Sistema de numeración decimal" data-language-autonym="Español" data-language-local-name="Spaans" 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/K%C3%BCmnends%C3%BCsteem" title="Kümnendsüsteem – Estisch" lang="et" hreflang="et" data-title="Kümnendsüsteem" data-language-autonym="Eesti" data-language-local-name="Estisch" 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/Zenbaki-sistema_hamartar" title="Zenbaki-sistema hamartar – Baskisch" lang="eu" hreflang="eu" data-title="Zenbaki-sistema hamartar" 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%AF%D9%87%E2%80%8C%D8%AF%D9%87%DB%8C" title="ده‌دهی – Perzisch" lang="fa" hreflang="fa" data-title="ده‌دهی" 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/Kymmenj%C3%A4rjestelm%C3%A4" title="Kymmenjärjestelmä – Fins" lang="fi" hreflang="fi" data-title="Kymmenjärjestelmä" 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/Syst%C3%A8me_d%C3%A9cimal" title="Système décimal – Frans" lang="fr" hreflang="fr" data-title="Système décimal" data-language-autonym="Français" data-language-local-name="Frans" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/C%C3%B3ras_deach%C3%BAil" title="Córas deachúil – Iers" lang="ga" hreflang="ga" data-title="Córas deachúil" data-language-autonym="Gaeilge" data-language-local-name="Iers" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Sistema_de_numeraci%C3%B3n_decimal" title="Sistema de numeración decimal – Galicisch" lang="gl" hreflang="gl" data-title="Sistema de numeración decimal" 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%94%D7%A9%D7%99%D7%98%D7%94_%D7%94%D7%A2%D7%A9%D7%A8%D7%95%D7%A0%D7%99%D7%AA" title="השיטה העשרונית – Hebreeuws" lang="he" hreflang="he" data-title="השיטה העשרונית" 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%A6%E0%A4%B6%E0%A4%AE%E0%A4%B2%E0%A4%B5_%E0%A4%AA%E0%A4%A6%E0%A5%8D%E0%A4%A7%E0%A4%A4%E0%A4%BF" title="दशमलव पद्धति – Hindi" lang="hi" hreflang="hi" data-title="दशमलव पद्धति" 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/Dekadski_brojevni_sustav" title="Dekadski brojevni sustav – Kroatisch" lang="hr" hreflang="hr" data-title="Dekadski brojevni sustav" data-language-autonym="Hrvatski" data-language-local-name="Kroatisch" 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/Sist%C3%A8m_desimal" title="Sistèm desimal – Haïtiaans Creools" lang="ht" hreflang="ht" data-title="Sistèm desimal" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Haïtiaans Creools" 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/T%C3%ADzes_sz%C3%A1mrendszer" title="Tízes számrendszer – Hongaars" lang="hu" hreflang="hu" data-title="Tízes számrendszer" data-language-autonym="Magyar" data-language-local-name="Hongaars" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Sistem_bilangan_desimal" title="Sistem bilangan desimal – Indonesisch" lang="id" hreflang="id" data-title="Sistem bilangan desimal" 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/Decimala_nombrosistemo" title="Decimala nombrosistemo – Ido" lang="io" hreflang="io" data-title="Decimala nombrosistemo" 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/Tugakerfi" title="Tugakerfi – IJslands" lang="is" hreflang="is" data-title="Tugakerfi" 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/Sistema_numerico_decimale" title="Sistema numerico decimale – Italiaans" lang="it" hreflang="it" data-title="Sistema numerico decimale" 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/%E5%8D%81%E9%80%B2%E6%B3%95" title="十進法 – Japans" lang="ja" hreflang="ja" data-title="十進法" 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-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Sistem_wilangan_d%C3%A8simal" title="Sistem wilangan dèsimal – Javaans" lang="jv" hreflang="jv" data-title="Sistem wilangan dèsimal" data-language-autonym="Jawa" data-language-local-name="Javaans" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9E%D0%BD%D0%B4%D1%8B%D2%9B_%D1%81%D0%B0%D0%BD%D0%B0%D1%83_%D0%B6%D2%AF%D0%B9%D0%B5%D1%81%D1%96" title="Ондық санау жүйесі – Kazachs" lang="kk" hreflang="kk" data-title="Ондық санау жүйесі" data-language-autonym="Қазақша" data-language-local-name="Kazachs" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%A6%E0%B2%B6%E0%B2%AE%E0%B2%BE%E0%B2%A8_%E0%B2%AA%E0%B2%A6%E0%B3%8D%E0%B2%A7%E0%B2%A4%E0%B2%BF" title="ದಶಮಾನ ಪದ್ಧತಿ – Kannada" lang="kn" hreflang="kn" data-title="ದಶಮಾನ ಪದ್ಧತಿ" 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/%EC%8B%AD%EC%A7%84%EB%B2%95" title="십진법 – Koreaans" lang="ko" hreflang="ko" data-title="십진법" data-language-autonym="한국어" data-language-local-name="Koreaans" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%9E%D0%BD%D0%B4%D1%83%D0%BA_%D1%8D%D1%81%D0%B5%D0%BF%D1%82%D3%A9%D3%A9_%D1%82%D1%83%D1%82%D1%83%D0%BC%D1%83" title="Ондук эсептөө тутуму – Kirgizisch" lang="ky" hreflang="ky" data-title="Ондук эсептөө тутуму" data-language-autonym="Кыргызча" data-language-local-name="Kirgizisch" 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/Systema_numericum_decimale" title="Systema numericum decimale – Latijn" lang="la" hreflang="la" data-title="Systema numericum decimale" data-language-autonym="Latina" data-language-local-name="Latijn" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lfn mw-list-item"><a href="https://lfn.wikipedia.org/wiki/Sistem_desimal" title="Sistem desimal – Lingua Franca Nova" lang="lfn" hreflang="lfn" data-title="Sistem desimal" data-language-autonym="Lingua Franca Nova" data-language-local-name="Lingua Franca Nova" class="interlanguage-link-target"><span>Lingua Franca Nova</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/De%C5%A1imtain%C4%97_skai%C4%8Diavimo_sistema" title="Dešimtainė skaičiavimo sistema – Litouws" lang="lt" hreflang="lt" data-title="Dešimtainė skaičiavimo sistema" data-language-autonym="Lietuvių" data-language-local-name="Litouws" 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/Decim%C4%81l%C4%81_skait%C4%AB%C5%A1anas_sist%C4%93ma" title="Decimālā skaitīšanas sistēma – Lets" lang="lv" hreflang="lv" data-title="Decimālā skaitīšanas sistēma" data-language-autonym="Latviešu" data-language-local-name="Lets" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mhr mw-list-item"><a href="https://mhr.wikipedia.org/wiki/%D0%9B%D1%83%D0%B0%D0%BD_%D1%87%D0%BE%D1%82%D1%80%D0%B0%D0%B4%D0%B0%D0%BC_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D0%B5" title="Луан чотрадам системе – Eastern Mari" lang="mhr" hreflang="mhr" data-title="Луан чотрадам системе" data-language-autonym="Олык марий" data-language-local-name="Eastern Mari" class="interlanguage-link-target"><span>Олык марий</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%94%D0%B5%D1%81%D0%B5%D1%82%D0%B8%D1%87%D0%B5%D0%BD_%D0%B1%D1%80%D0%BE%D0%B5%D0%BD_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC" title="Десетичен броен систем – Macedonisch" lang="mk" hreflang="mk" data-title="Десетичен броен систем" data-language-autonym="Македонски" data-language-local-name="Macedonisch" 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%A6%E0%B4%B6%E0%B4%BE%E0%B4%82%E0%B4%B6_%E0%B4%B8%E0%B4%AE%E0%B5%8D%E0%B4%AA%E0%B5%8D%E0%B4%B0%E0%B4%A6%E0%B4%BE%E0%B4%AF%E0%B4%82" title="ദശാംശ സമ്പ്രദായം – Malayalam" lang="ml" hreflang="ml" data-title="ദശാംശ സമ്പ്രദായം" data-language-autonym="മലയാളം" data-language-local-name="Malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%90%D1%80%D0%B0%D0%B2%D1%82%D1%8B%D0%BD_%D1%82%D0%BE%D0%BE%D0%BB%D0%BB%D1%8B%D0%BD_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC" title="Аравтын тооллын систем – Mongools" lang="mn" hreflang="mn" data-title="Аравтын тооллын систем" data-language-autonym="Монгол" data-language-local-name="Mongools" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Perpuluhan" title="Perpuluhan – Maleis" lang="ms" hreflang="ms" data-title="Perpuluhan" 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-mwl mw-list-item"><a href="https://mwl.wikipedia.org/wiki/Sistema_de_numera%C3%A7on_decimal" title="Sistema de numeraçon decimal – Mirandees" lang="mwl" hreflang="mwl" data-title="Sistema de numeraçon decimal" data-language-autonym="Mirandés" data-language-local-name="Mirandees" class="interlanguage-link-target"><span>Mirandés</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Titalssystemet" title="Titalssystemet – Noors - Nynorsk" lang="nn" hreflang="nn" data-title="Titalssystemet" 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/Titallsystemet" title="Titallsystemet – Noors - Bokmål" lang="nb" hreflang="nb" data-title="Titallsystemet" 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-nso mw-list-item"><a href="https://nso.wikipedia.org/wiki/Letlase_la_lesome" title="Letlase la lesome – Noord-Sotho" lang="nso" hreflang="nso" data-title="Letlase la lesome" data-language-autonym="Sesotho sa Leboa" data-language-local-name="Noord-Sotho" 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/Sist%C3%A8ma_decimal" title="Sistèma decimal – Occitaans" lang="oc" hreflang="oc" data-title="Sistèma decimal" data-language-autonym="Occitan" data-language-local-name="Occitaans" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%87%E0%A8%B8%E0%A8%BC%E0%A8%BE%E0%A8%B0%E0%A9%80%E0%A8%86" title="ਇਸ਼ਾਰੀਆ – Punjabi" lang="pa" hreflang="pa" data-title="ਇਸ਼ਾਰੀਆ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="Punjabi" 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/Dziesi%C4%99tny_system_liczbowy" title="Dziesiętny system liczbowy – Pools" lang="pl" hreflang="pl" data-title="Dziesiętny system liczbowy" data-language-autonym="Polski" data-language-local-name="Pools" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Sistema_de_numera%C3%A7%C3%A3o_decimal" title="Sistema de numeração decimal – Portugees" lang="pt" hreflang="pt" data-title="Sistema de numeração decimal" data-language-autonym="Português" data-language-local-name="Portugees" 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/Chunkantin_huchha_llika" title="Chunkantin huchha llika – Quechua" lang="qu" hreflang="qu" data-title="Chunkantin huchha llika" 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-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Sistem_zecimal" title="Sistem zecimal – Roemeens" lang="ro" hreflang="ro" data-title="Sistem zecimal" 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%94%D0%B5%D1%81%D1%8F%D1%82%D0%B8%D1%87%D0%BD%D0%B0%D1%8F_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D0%B0_%D1%81%D1%87%D0%B8%D1%81%D0%BB%D0%B5%D0%BD%D0%B8%D1%8F" title="Десятичная система счисления – Russisch" lang="ru" hreflang="ru" data-title="Десятичная система счисления" data-language-autonym="Русский" data-language-local-name="Russisch" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Dekadni_sistem" title="Dekadni sistem – Servo-Kroatisch" lang="sh" hreflang="sh" data-title="Dekadni sistem" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Servo-Kroatisch" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Decimal" title="Decimal – Simple English" lang="en-simple" hreflang="en-simple" data-title="Decimal" 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/Desiatkov%C3%A1_%C4%8D%C3%ADseln%C3%A1_s%C3%BAstava" title="Desiatková číselná sústava – Slowaaks" lang="sk" hreflang="sk" data-title="Desiatková číselná sústava" 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/Deseti%C5%A1ki_%C5%A1tevilski_sistem" title="Desetiški številski sistem – Sloveens" lang="sl" hreflang="sl" data-title="Desetiški številski sistem" 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/Muravanegumi" title="Muravanegumi – Shona" lang="sn" hreflang="sn" data-title="Muravanegumi" data-language-autonym="ChiShona" data-language-local-name="Shona" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%94%D0%B5%D0%BA%D0%B0%D0%B4%D0%BD%D0%B8_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC" title="Декадни систем – Servisch" lang="sr" hreflang="sr" data-title="Декадни систем" 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/Decimala_talsystemet" title="Decimala talsystemet – Zweeds" lang="sv" hreflang="sv" data-title="Decimala talsystemet" data-language-autonym="Svenska" data-language-local-name="Zweeds" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AA%E0%AE%A4%E0%AE%BF%E0%AE%A9%E0%AF%8D%E0%AE%AE%E0%AE%AE%E0%AF%8D" title="பதின்மம் – Tamil" lang="ta" hreflang="ta" data-title="பதின்மம்" 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%B9%80%E0%B8%A5%E0%B8%82%E0%B8%90%E0%B8%B2%E0%B8%99%E0%B8%AA%E0%B8%B4%E0%B8%9A" title="เลขฐานสิบ – Thai" lang="th" hreflang="th" data-title="เลขฐานสิบ" 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/Onlu_say%C4%B1_sistemi" title="Onlu sayı sistemi – Turks" lang="tr" hreflang="tr" data-title="Onlu sayı sistemi" data-language-autonym="Türkçe" data-language-local-name="Turks" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%A3%D0%BD%D0%B0%D1%80%D0%BB%D1%8B_%D0%B8%D1%81%D3%99%D0%BF%D0%BB%D3%99%D2%AF_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D0%B0%D1%81%D1%8B" title="Унарлы исәпләү системасы – Tataars" lang="tt" hreflang="tt" data-title="Унарлы исәпләү системасы" data-language-autonym="Татарча / tatarça" data-language-local-name="Tataars" 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/%D0%94%D0%B5%D1%81%D1%8F%D1%82%D0%BA%D0%BE%D0%B2%D0%B0_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D0%B0_%D1%87%D0%B8%D1%81%D0%BB%D0%B5%D0%BD%D0%BD%D1%8F" title="Десяткова система числення – Oekraïens" lang="uk" hreflang="uk" data-title="Десяткова система числення" 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%D8%B9%DB%8C%D8%AF_%D8%A7%D8%B9%D8%B4%D8%A7%D8%B1%DB%8C%DB%81" title="معید اعشاریہ – Urdu" lang="ur" hreflang="ur" data-title="معید اعشاریہ" data-language-autonym="اردو" data-language-local-name="Urdu" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/H%E1%BB%87_th%E1%BA%ADp_ph%C3%A2n" title="Hệ thập phân – Vietnamees" lang="vi" hreflang="vi" data-title="Hệ thập phân" 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-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Desimal" title="Desimal – Waray" lang="war" hreflang="war" data-title="Desimal" data-language-autonym="Winaray" data-language-local-name="Waray" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E5%8D%81%E8%BF%9B%E5%88%B6" title="十进制 – Wuyu" lang="wuu" hreflang="wuu" data-title="十进制" 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-xh mw-list-item"><a href="https://xh.wikipedia.org/wiki/I-decimal" title="I-decimal – Xhosa" lang="xh" hreflang="xh" data-title="I-decimal" data-language-autonym="IsiXhosa" data-language-local-name="Xhosa" class="interlanguage-link-target"><span>IsiXhosa</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%93%D7%A2%D7%A6%D7%99%D7%9E%D7%90%D7%9C" title="דעצימאל – Jiddisch" lang="yi" hreflang="yi" 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data-mw-deduplicate="TemplateStyles:r68175564">.mw-parser-output .kolommen-lijst{margin-top:0.3em}.mw-parser-output .kolommen-lijst ul,.mw-parser-output .kolommen-lijst ol{margin-top:0}.mw-parser-output .kolommen-lijst li,.mw-parser-output .kolommen-lijst dd{margin-bottom:0;padding-bottom:0.1em;page-break-inside:avoid;break-inside:avoid-column}html.vector-feature-custom-font-size-clientpref-0 .mw-parser-output .kolommen-lijst li,html.vector-feature-custom-font-size-clientpref-0 .mw-parser-output .kolommen-lijst dd{line-height:1.5714285em}html.vector-feature-custom-font-size-clientpref-1 .mw-parser-output .kolommen-lijst li,html.vector-feature-custom-font-size-clientpref-1 .mw-parser-output .kolommen-lijst dd{line-height:1.6em}html.vector-feature-custom-font-size-clientpref-2 .mw-parser-output .kolommen-lijst li,html.vector-feature-custom-font-size-clientpref-2 .mw-parser-output .kolommen-lijst dd{line-height:1.5em}.mw-parser-output .infobox .kolommen-lijst{margin-top:0}.mw-parser-output .kolommen-lijst figure{break-inside:avoid-column}@media screen and (max-width:640px){.mw-parser-output .kolommen-lijst{clear:both}}</style><div class="kolommen-lijst" style="column-width:8em;"> <ul><li><a href="/wiki/Arabisch-Indische_cijfers" title="Arabisch-Indische cijfers">Arabisch</a></li> <li><a href="/wiki/Armeense_cijfers" title="Armeense cijfers">Armeens</a></li> <li><a href="/wiki/Attische_cijfers" title="Attische cijfers">Attisch</a></li> <li><a href="/wiki/Babylonische_cijfers" title="Babylonische cijfers">Babylonisch</a></li> <li><a href="/wiki/Birmees_schrift#Cijfers" title="Birmees schrift">Birmees</a></li> <li><a href="/wiki/Chinese_cijfers" title="Chinese cijfers">Chinees</a></li> <li><a href="/wiki/Cyrillische_cijfers" title="Cyrillische cijfers">Cyrillisch</a></li> <li><a href="/wiki/Egyptische_cijfers" title="Egyptische cijfers">Egyptisch</a></li> <li><a href="/wiki/Etruskische_cijfers" title="Etruskische cijfers">Etruskisch</a></li> <li><a href="/wiki/Griekse_cijfers" title="Griekse cijfers">Grieks</a></li> <li><a href="/wiki/Hebreeuwse_cijfers" title="Hebreeuwse cijfers">Hebreeuws</a></li> <li><a href="/wiki/Indiase_cijfers" title="Indiase cijfers">Indiaas</a></li> <li><a href="/wiki/Japanse_cijfers" class="mw-redirect" title="Japanse cijfers">Japans</a></li> <li><a href="/wiki/Khmercijfers" title="Khmercijfers">Khmer</a></li> <li><a href="/wiki/Mayacijfers" title="Mayacijfers">Maya</a></li> <li><a href="/wiki/Romeinse_cijfers" title="Romeinse cijfers">Romeins</a></li> <li><a href="/wiki/Thaise_cijfers" title="Thaise cijfers">Thais</a></li></ul> </div> <hr /> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r68175564"><div class="kolommen-lijst" style="column-width:10em;"> <ul><li><a href="/wiki/Unair_talstelsel" title="Unair talstelsel">unair (1)</a></li> <li><a href="/wiki/Binair_talstelsel" title="Binair talstelsel">binair (2)</a></li> <li><a href="/w/index.php?title=Quinair_talstelsel&amp;action=edit&amp;redlink=1" class="new" title="Quinair talstelsel (de pagina bestaat niet)">quinair (5)</a></li> <li><a href="/wiki/Octaal_talstelsel" title="Octaal talstelsel">octaal (8)</a></li> <li><a href="/wiki/Novenair" title="Novenair">novenair (9)</a></li> <li><a class="mw-selflink selflink">decimaal (10)</a></li> <li><a href="/wiki/Twaalftallig_stelsel" title="Twaalftallig stelsel">duodecimaal (12)</a></li> <li><a href="/wiki/Hexadecimaal" class="mw-redirect" title="Hexadecimaal">hexadecimaal (16)</a></li> <li><a href="/wiki/Vigesimaal" title="Vigesimaal">vigesimaal (20)</a></li> <li><a href="/wiki/Sexagesimaal" class="mw-redirect" title="Sexagesimaal">sexagesimaal (60)</a></li></ul> </div> </td></tr> </tbody></table> <p>Het <b>decimale talstelsel</b> of <b>tientallige talstelsel</b> is een <a href="/wiki/Talstelsel" title="Talstelsel">talstelsel</a> om getallen weer te geven met behulp van de tien <a href="/wiki/Cijfer" title="Cijfer">cijfers</a> 0 tot en met 9. Het is een <a href="/wiki/Positiestelsel" title="Positiestelsel">positiestelsel</a>, waarin dus de plaats van een cijfer in het getal mede de bijdrage aan het getal bepaalt. De naam is afgeleid van het Latijnse woord <i>decima</i>, tiende deel (van <i>decem</i>, tien). Decimaal betekent tiendelig, tientallig. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Beschrijving">Beschrijving</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Decimaal_talstelsel&amp;veaction=edit&amp;section=1" title="Bewerk dit kopje: Beschrijving" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Decimaal_talstelsel&amp;action=edit&amp;section=1" title="De broncode bewerken van de sectie: Beschrijving"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Weergave_van_getallen_in_het_decimale_stelsel">Weergave van getallen in het decimale stelsel</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Decimaal_talstelsel&amp;veaction=edit&amp;section=2" title="Bewerk dit kopje: Weergave van getallen in het decimale stelsel" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Decimaal_talstelsel&amp;action=edit&amp;section=2" title="De broncode bewerken van de sectie: Weergave van getallen in het decimale stelsel"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Getallen in het decimale stelsel worden genoteerd met behulp van de tien <a href="/wiki/Cijfer" title="Cijfer">cijfers</a>: <a href="/wiki/0_(getal)" title="0 (getal)">0</a>, <a href="/wiki/1_(getal)" title="1 (getal)">1</a>, <a href="/wiki/2_(getal)" title="2 (getal)">2</a>, <a href="/wiki/3_(getal)" title="3 (getal)">3</a>, <a href="/wiki/4_(getal)" title="4 (getal)">4</a>, <a href="/wiki/5_(getal)" title="5 (getal)">5</a>, <a href="/wiki/6_(getal)" title="6 (getal)">6</a>, <a href="/wiki/7_(getal)" title="7 (getal)">7</a>, <a href="/wiki/8_(getal)" title="8 (getal)">8</a> en <a href="/wiki/9_(getal)" title="9 (getal)">9</a>. De getallen 0 t/m 9 worden weergegeven door het enkele cijfer zelf. De getallen 10 t/m 99 worden weergegeven door twee cijfers, waarvan het linker cijfer het aantal tientallen aangeeft en het rechter cijfer het aantal eenheden. Zo is het getal <span class="nowrap">37 = 3 × 10 + 7 × 1</span>. Het stelsel is een positiestelsel, de plaats van de 3 in 37 op de tweede positie betekent een bijdrage van 3 tientallen. Zo voortgaand worden de getallen 100 t/m 999 weergegeven met drie cijfers, waarbij het cijfer op de derde positie het aantal honderdtallen aangeeft: <span class="nowrap">837 = 8 × 100 + 3 × 10 + 7 × 1</span>. Door combinaties (achter elkaar plaatsen) van cijfers kunnen alle <a href="/wiki/Natuurlijk_getal" title="Natuurlijk getal">natuurlijke getallen</a> verkregen worden. </p><p>Formeel: de rij cijfers </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 c_{n}c_{n-1}\ldots c_{1}c_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msub> <mo>&#x2026;<!-- … --></mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c_{n}c_{n-1}\ldots c_{1}c_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d6fc4c0721e6d33a6fc9e116cb3ccbd3cd61db0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:14.171ex; height:2.009ex;" alt="{\displaystyle c_{n}c_{n-1}\ldots c_{1}c_{0}}"></span></dd></dl> <p>stelt in het decimale stelsel het getal </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 c_{n}\times 10^{n}+c_{n-1}\times 10^{n-1}+\ldots +c_{1}\times 10+c_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mo>&#x00D7;<!-- × --></mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> <mo>+</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msub> <mo>&#x00D7;<!-- × --></mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msup> <mo>+</mo> <mo>&#x2026;<!-- … --></mo> <mo>+</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>&#x00D7;<!-- × --></mo> <mn>10</mn> <mo>+</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c_{n}\times 10^{n}+c_{n-1}\times 10^{n-1}+\ldots +c_{1}\times 10+c_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/26da3adf97d63be3e38dfba2dd645eb50948989a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:44.792ex; height:3.009ex;" alt="{\displaystyle c_{n}\times 10^{n}+c_{n-1}\times 10^{n-1}+\ldots +c_{1}\times 10+c_{0}}"></span></dd></dl> <p>voor. Ieder natuurlijk getal kan op een unieke manier door zo'n rij cijfers worden voorgesteld. Ieder cijfer in een getal heeft een waarde die mede afhangt van de positie die het cijfer in het getal heeft. Iedere positie vertegenwoordigt een bepaalde <a href="/wiki/Machtsverheffen" title="Machtsverheffen">macht</a> van tien. </p><p><a href="/wiki/Negatief_getal" title="Negatief getal">Negatieve getallen</a> worden decimaal genoteerd door het plaatsen van een <a href="/wiki/Minteken" title="Minteken">minteken</a> vóór de rij cijfers. </p><p>Het getal 231475923 = 231.475.923, uitgeschreven: tweehonderdeenendertig miljoen vierhonderdvijfenzeventigduizend negenhonderddrieëntwintig, bestaat uit de volgende onderdelen: </p> <table class="wikitable"> <tbody><tr> <td style="background-color:#001111; color:#ffffff;"><b>10<sup>8</sup></b></td> <td style="background-color:#002222; color:#ffffff;"><b>10<sup>7</sup></b></td> <td style="background-color:#003333; color:#ffffff;"><b>10<sup>6</sup></b></td> <td style="background-color:#004444; color:#ffffff;"><b>10<sup>5</sup></b></td> <td style="background-color:#005555; color:#ffffff;"><b>10<sup>4</sup></b></td> <td style="background-color:#006666; color:#ffffff;"><b>10<sup>3</sup></b></td> <td style="background-color:#007777; color:#ffffff;"><b>10<sup>2</sup></b></td> <td style="background-color:#008888; color:#ffffff;"><b>10<sup>1</sup></b></td> <td style="background-color:#009999; color:#ffffff;"><b>10<sup>0</sup></b> </td> <th><a href="/wiki/Wetenschappelijke_notatie" title="Wetenschappelijke notatie">Wetenschappelijke<br />notatie</a></th> <th>Spreektaal<br />Schrijfwijze</th> <th>Eenheid </th></tr> <tr> <td style="text-align:center; background-color:#001111; color:#ffffff;"><b>2</b></td> <td colspan="8"></td> <td>2×10<sup>8</sup></td> <td>Tweehonderdmiljoen</td> <td>200 <a href="/wiki/Miljoen" title="Miljoen">miljoen</a> </td></tr> <tr> <td></td> <td style="text-align:center; background-color:#002222; color:#ffffff;"><b>3</b></td> <td colspan="7"></td> <td>3×10<sup>7</sup></td> <td>Dertigmiljoen</td> <td>30 <a href="/wiki/Miljoen" title="Miljoen">miljoen</a> </td></tr> <tr> <td colspan="2"></td> <td style="text-align:center; background-color:#003333; color:#ffffff;"><b>1</b></td> <td colspan="6"></td> <td>1×10<sup>6</sup></td> <td>Miljoen</td> <td>1 <a href="/wiki/Miljoen" title="Miljoen">miljoen</a> </td></tr> <tr> <td colspan="3"></td> <td style="text-align:center; background-color:#004444; color:#ffffff;"><b>4</b></td> <td colspan="5"></td> <td>4×10<sup>5</sup></td> <td>Vierhonderdduizend</td> <td>400 <a href="/wiki/1000_(getal)" title="1000 (getal)">duizend</a> </td></tr> <tr> <td colspan="4"></td> <td style="text-align:center; background-color:#005555; color:#ffffff;"><b>7</b></td> <td colspan="4"></td> <td>7×10<sup>4</sup></td> <td>Zeventigduizend</td> <td>70 <a href="/wiki/1000_(getal)" title="1000 (getal)">duizend</a> </td></tr> <tr> <td colspan="5"></td> <td style="text-align:center; background-color:#006666; color:#ffffff;"><b>5</b></td> <td colspan="3"></td> <td>5×10<sup>3</sup></td> <td>Vijfduizend</td> <td>5 <a href="/wiki/1000_(getal)" title="1000 (getal)">duizend</a> </td></tr> <tr> <td colspan="6"></td> <td style="text-align:center; background-color:#007777; color:#ffffff;"><b>9</b></td> <td colspan="2"></td> <td>9×10<sup>2</sup></td> <td>Negenhonderd</td> <td>9 <a href="/wiki/100_(getal)" title="100 (getal)">honderd</a> </td></tr> <tr> <td colspan="7"></td> <td style="text-align:center; background-color:#008888; color:#ffffff;"><b>2</b></td> <td></td> <td>2×10<sup>1</sup></td> <td>Twintig</td> <td>2 <a href="/wiki/10_(getal)" title="10 (getal)">tientallen</a> </td></tr> <tr> <td colspan="8"></td> <td style="text-align:center; background-color:#009999; color:#ffffff;"><b>3</b></td> <td>3×10<sup>0</sup></td> <td>Drie</td> <td>3 <a href="/wiki/1_(getal)" title="1 (getal)">eenheden</a> </td></tr> <tr> <td style="text-align:center; background-color:#001111; color:#ffffff;"><b>2</b></td> <td style="text-align:center; background-color:#002222; color:#ffffff;"><b>3</b></td> <td style="text-align:center; background-color:#003333; color:#ffffff;"><b>1</b></td> <td style="text-align:center; background-color:#004444; color:#ffffff;"><b>4</b></td> <td style="text-align:center; background-color:#005555; color:#ffffff;"><b>7</b></td> <td style="text-align:center; background-color:#006666; color:#ffffff;"><b>5</b></td> <td style="text-align:center; background-color:#007777; color:#ffffff;"><b>9</b></td> <td style="text-align:center; background-color:#008888; color:#ffffff;"><b>2</b></td> <td style="text-align:center; background-color:#009999; color:#ffffff;"><b>3</b></td> <td>231475923</td> <td>Tweehonderdeenendertigmiljoen<br />vierhonderdvijfenzeventigduizend<br />negenhonderddrieëntwintig</td> <td>231475923<br /><a href="/wiki/1_(getal)" title="1 (getal)">eenheden</a> </td></tr></tbody></table> <div class="mw-heading mw-heading3"><h3 id="Decimale_breuk,_fractie"><span id="Decimale_breuk.2C_fractie"></span>Decimale breuk, fractie</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Decimaal_talstelsel&amp;veaction=edit&amp;section=3" title="Bewerk dit kopje: Decimale breuk, fractie" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Decimaal_talstelsel&amp;action=edit&amp;section=3" title="De broncode bewerken van de sectie: Decimale breuk, fractie"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>De notatie kan worden uitgebreid om <a href="/wiki/Decimale_breuk" title="Decimale breuk">decimale breuken</a> − dat zijn <a href="/wiki/Breuk_(wiskunde)" title="Breuk (wiskunde)">breuken</a> met een macht van 10 als noemer − weer te geven. Het idee is dat elke eenheid kan worden opgedeeld in 10 tienden, een tiende weer in 10 honderdsten, enzovoort. Formeel wordt gebruikgemaakt van negatieve machten. </p><p>In het getal wordt na het cijfer dat de eenheden weergeeft, een <a href="/wiki/Komma" title="Komma">komma</a> geplaatst, en vervolgens gaat men gewoon verder met het systeem: het eerstvolgende cijfer geeft het aantal malen 10<sup>-1</sup> (dus tienden) aan, het daaropvolgende cijfer het aantal malen 10<sup>-2</sup> (honderdsten) enzovoort. Dit wordt voortgezet totdat er achter de komma (rechts van de komma) net zoveel cijfers staan als de macht van 10 van de noemer. </p><p>Formeel: de rij cijfers </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 c_{n}c_{n-1}\ldots c_{1}c_{0}\,,\,c_{-1}c_{-2}\ldots c_{-m}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msub> <mo>&#x2026;<!-- … --></mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mspace width="thinmathspace" /> <mo>,</mo> <mspace width="thinmathspace" /> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msub> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> </mrow> </msub> <mo>&#x2026;<!-- … --></mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mi>m</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c_{n}c_{n-1}\ldots c_{1}c_{0}\,,\,c_{-1}c_{-2}\ldots c_{-m}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c71236f84003bc333b8f57d97a40639225e7074c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:30.116ex; height:2.009ex;" alt="{\displaystyle c_{n}c_{n-1}\ldots c_{1}c_{0}\,,\,c_{-1}c_{-2}\ldots c_{-m}}"></span></dd></dl> <p>stelt in het decimale stelsel het getal </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 c_{n}\cdot 10^{n}+c_{n-1}\cdot 10^{n-1}+\ldots +c_{1}\cdot 10+c_{0}+c_{-1}\cdot 10^{-1}+c_{-2}\cdot 10^{-2}+\ldots +c_{-m}\cdot 10^{-m}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mo>&#x22C5;<!-- ⋅ --></mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> <mo>+</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msub> <mo>&#x22C5;<!-- ⋅ --></mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msup> <mo>+</mo> <mo>&#x2026;<!-- … --></mo> <mo>+</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>&#x22C5;<!-- ⋅ --></mo> <mn>10</mn> <mo>+</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msub> <mo>&#x22C5;<!-- ⋅ --></mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msup> <mo>+</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> </mrow> </msub> <mo>&#x22C5;<!-- ⋅ --></mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mo>&#x2026;<!-- … --></mo> <mo>+</mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mi>m</mi> </mrow> </msub> <mo>&#x22C5;<!-- ⋅ --></mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mi>m</mi> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c_{n}\cdot 10^{n}+c_{n-1}\cdot 10^{n-1}+\ldots +c_{1}\cdot 10+c_{0}+c_{-1}\cdot 10^{-1}+c_{-2}\cdot 10^{-2}+\ldots +c_{-m}\cdot 10^{-m}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5133bf4a6c1c6eb7796ee74f801112abaa716b3e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:85.663ex; height:3.009ex;" alt="{\displaystyle c_{n}\cdot 10^{n}+c_{n-1}\cdot 10^{n-1}+\ldots +c_{1}\cdot 10+c_{0}+c_{-1}\cdot 10^{-1}+c_{-2}\cdot 10^{-2}+\ldots +c_{-m}\cdot 10^{-m}}"></span></dd></dl> <p>voor. </p><p>Het deel bestaande uit de cijfers <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 c_{-1}c_{-2}\ldots c_{-m}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msub> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> </mrow> </msub> <mo>&#x2026;<!-- … --></mo> <msub> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mi>m</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c_{-1}c_{-2}\ldots c_{-m}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9427d6392990c4a574a770296d2c18069f4a3eae" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:14.137ex; height:2.009ex;" alt="{\displaystyle c_{-1}c_{-2}\ldots c_{-m}}"></span> (dus het deel rechts van de komma), heet de <b>fractie</b> of het <b>fractionele deel</b> van het getal. </p><p>Voorbeeld. Met het getal <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 24{,}35}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>24</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>,</mo> </mrow> <mn>35</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 24{,}35}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6415d9e3d6d042e10a10898e161546cefe832bfa" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.297ex; height:2.509ex;" alt="{\displaystyle 24{,}35}"></span> wordt bedoeld: 2 tientallen + 4 eenheden + 3 tienden + 5 honderdste. Of ook: </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 24{,}35=24{\tfrac {35}{10^{2}}}=2\times 10+4\times 1+3\times {\tfrac {1}{10}}+5\times {\tfrac {1}{100}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>24</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>,</mo> </mrow> <mn>35</mn> <mo>=</mo> <mn>24</mn> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>35</mn> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mstyle> </mrow> <mo>=</mo> <mn>2</mn> <mo>&#x00D7;<!-- × --></mo> <mn>10</mn> <mo>+</mo> <mn>4</mn> <mo>&#x00D7;<!-- × --></mo> <mn>1</mn> <mo>+</mo> <mn>3</mn> <mo>&#x00D7;<!-- × --></mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>1</mn> <mn>10</mn> </mfrac> </mstyle> </mrow> <mo>+</mo> <mn>5</mn> <mo>&#x00D7;<!-- × --></mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>1</mn> <mn>100</mn> </mfrac> </mstyle> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 24{,}35=24{\tfrac {35}{10^{2}}}=2\times 10+4\times 1+3\times {\tfrac {1}{10}}+5\times {\tfrac {1}{100}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dea2131480167936a58c1a654b8f45b288fa135c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.671ex; width:50.932ex; height:4.009ex;" alt="{\displaystyle 24{,}35=24{\tfrac {35}{10^{2}}}=2\times 10+4\times 1+3\times {\tfrac {1}{10}}+5\times {\tfrac {1}{100}}}"></span></dd></dl> <p>De plaats van de komma in het getal is in deze notatie cruciaal: het is het <i>referentiepunt</i> waaraan gezien kan worden welk deel van het getal de gehele waarde representeert en welk deel de fractie. Het eerste cijfer <a href="/wiki/Links_en_rechts_(richting)" title="Links en rechts (richting)">links</a> van de komma geeft de eenheden weer, het eerste cijfer <a href="/wiki/Links_en_rechts_(richting)" title="Links en rechts (richting)">rechts</a> van de komma de tienden. Indien het getal geen fractioneel deel heeft, wordt de komma weggelaten; het laatste cijfer (het meest rechtse) is in dat geval het referentiepunt. </p><p>Niet elke breuk van de vorm <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 {\tfrac {n}{m}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mi>n</mi> <mi>m</mi> </mfrac> </mstyle> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\tfrac {n}{m}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bd4d59ffec7a1176fd50f43970de08240094378a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:2.279ex; height:3.009ex;" alt="{\displaystyle {\tfrac {n}{m}}}"></span> kan met een <a href="/wiki/Eindige_verzameling" title="Eindige verzameling">eindig</a> aantal cijfers achter de komma geschreven worden. Soms ontstaat ergens achter de komma een zich herhalende groep van een of meer cijfers. Een voorbeeld hiervan 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 {\tfrac {1}{3}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mstyle> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\tfrac {1}{3}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9efc37d09854a3f8fb997e7de4331876bc49c2c0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:1.658ex; height:3.676ex;" alt="{\displaystyle {\tfrac {1}{3}}}"></span>, waarbij in de decimale notatie achter de komma een oneindig aantal drieën staat: <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 0{,}333\ldots }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>0,333</mn> <mo>&#x2026;<!-- … --></mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 0{,}333\ldots }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2208fdd2594c78877b34de0da66562ab91c67b72" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:8.407ex; height:2.509ex;" alt="{\displaystyle 0{,}333\ldots }"></span> Zo'n getal is een <a href="/wiki/Repeterende_breuk" title="Repeterende breuk">repeterende breuk</a>. </p> <div class="mw-heading mw-heading3"><h3 id="Irrationale_getallen">Irrationale getallen</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Decimaal_talstelsel&amp;veaction=edit&amp;section=4" title="Bewerk dit kopje: Irrationale getallen" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Decimaal_talstelsel&amp;action=edit&amp;section=4" title="De broncode bewerken van de sectie: Irrationale getallen"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Elke breuk, en dus elk <a href="/wiki/Rationaal_getal" title="Rationaal getal">rationaal getal</a>, kan eenduidig in het decimale stelsel voorgesteld worden, als gewone of repeterende decimale breuk. Een <a href="/wiki/Irrationaal_getal" title="Irrationaal getal">irrationaal getal</a> kan slechts benaderend decimaal voorgesteld worden, door een, voor de verlangde nauwkeurigheid, voldoende aantal cijfers achter de komma. Van het bekende irrationale getal <a href="/wiki/Pi_(wiskunde)" title="Pi (wiskunde)">π</a> is inmiddels een zeer groot aantal decimale cijfers bekend, mede omdat het een soort sport is steeds weer volgende decimalen te bepalen. </p> <div class="mw-heading mw-heading2"><h2 id="Uitspraak">Uitspraak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Decimaal_talstelsel&amp;veaction=edit&amp;section=5" title="Bewerk dit kopje: Uitspraak" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Decimaal_talstelsel&amp;action=edit&amp;section=5" title="De broncode bewerken van de sectie: Uitspraak"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Als decimale getallen worden uitgesproken, gebeurt dat meestal van links naar rechts in deze groepjes van 3 cijfers, die elk als 3-cijferig getal worden uitgesproken, gevolgd door de vermenigvuldigingsfactor die met hun positie overeenkomt: </p> <table class="wikitable"> <tbody><tr> <th colspan="3" style="background:#001111; color:#ffffff;">Miljoenen </th> <th colspan="3" style="background:#005555; color:#ffffff;">Duizendtallen </th> <th colspan="3" style="background:#007777; color:#ffffff;">Eenheden </th> <th><a href="/wiki/Wetenschappelijke_notatie" title="Wetenschappelijke notatie">Wetenschappelijke<br />notatie</a></th> <th>Spreektaal<br />Schrijfwijze </th></tr> <tr> <td style="text-align:center; background:#001111; color:#ffffff;"><b>2</b></td> <td style="text-align:center; background:#002222; color:#ffffff;"><b>3</b></td> <td style="text-align:center; background:#003333; color:#ffffff;"><b>1</b></td> <td colspan="6"></td> <td>2,31×10<sup>8</sup></td> <td>Tweehonderdeenendertigmiljoen </td></tr> <tr> <td colspan="3"></td> <td style="text-align:center; background:#004444; color:#ffffff;"><b>4</b></td> <td style="text-align:center; background:#005555; color:#ffffff;"><b>7</b></td> <td style="text-align:center; background:#006666; color:#ffffff;"><b>5</b></td> <td colspan="3"></td> <td>4,75×10<sup>5</sup></td> <td>Vierhonderdvijfenzeventigduizend </td></tr> <tr> <td colspan="6"></td> <td style="text-align:center; background:#007777; color:#ffffff;"><b>9</b></td> <td style="text-align:center; background:#008888; color:#ffffff;"><b>2</b></td> <td style="text-align:center; background:#009999; color:#ffffff;"><b>3</b></td> <td>9,23×10<sup>2</sup></td> <td>Negenhonderddrieëntwintig </td></tr> <tr> <td style="text-align:center; background:#001111; color:#ffffff;"><b>2</b></td> <td style="text-align:center; background:#002222; color:#ffffff;"><b>3</b></td> <td style="text-align:center; background:#003333; color:#ffffff;"><b>1</b></td> <td style="text-align:center; background:#004444; color:#ffffff;"><b>4</b></td> <td style="text-align:center; background:#005555; color:#ffffff;"><b>7</b></td> <td style="text-align:center; background:#006666; color:#ffffff;"><b>5</b></td> <td style="text-align:center; background:#007777; color:#ffffff;"><b>9</b></td> <td style="text-align:center; background:#008888; color:#ffffff;"><b>2</b></td> <td style="text-align:center; background:#009999; color:#ffffff;"><b>3</b></td> <td>2,31475923×10<sup>8</sup></td> <td>Tweehonderdeenendertigmiljoen<br />vierhonderdvijfenzeventigduizend<br />negenhonderddrieëntwintig </td></tr></tbody></table> <p>In sommige talen worden getallen tussen 1101 en 9999 ook in groepen van twee cijfers uitgesproken: 1531 is vijftienhonderdeenendertig. In het Nederlands is dat gebruikelijk als het tweede cijfer geen nul is. In een jaartal wordt 'honderd' meestal weggelaten, tenzij het een eeuwjaar is. </p><p>Deze opdeling is ook nuttig voor cijfers achter de komma (132,035100 = honderdtweeëndertig, vijfendertig duizendste en 100 miljoenste). Dat wordt echter op de meeste scholen niet voldoende aangeleerd. Dan worden cijfers achter de komma stuk voor stuk uitgesproken (hondertweeëndertig-komma-nul-drie-vijf-een-nul-nul) waardoor de interpretatie van het getal wordt bemoeilijkt. </p><p>In het Nederlands worden groepen van twee cijfers uitgesproken (groter dan twaalf) in de volgorde eenheden - tientallen, zij het dat dertien en veertien een afwijkende vorm voor drie en vier gebruiken. Dat is niet in alle talen zo. In het Engels draait men vanaf twintig de volgorde om. Zo wordt vijfendertig bijvoorbeeld uitgesproken als thirty(-and-)five (dertig-vijf). In het Frans wordt die volgorde al vanaf zeventien (dix-sept, tien-zeven) gebruikt. In <a href="/wiki/Frankrijk" title="Frankrijk">Frankrijk</a> komt verder na soixante-neuf (zestig-negen oftewel 69) het getal soixante-dix (zestig-tien, 70). Dat loopt door tot en met soixante-dix-neuf (zestig-tien-negen, 79), waarna quatre-vingts (vier-twintigen, 80) tot en met quatre-vingts-dix-neuf (99) volgen. In sommige andere landen waar Frans wordt gesproken, zijn wel woorden voor zeventig, tachtig en negentig, maar ook dan wordt het tiental vóór de eenheden uitgesproken. Het Duits gebruikt dezelfde volgorde als het Nederlands. </p> <div class="mw-heading mw-heading3"><h3 id="Groepering">Groepering</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Decimaal_talstelsel&amp;veaction=edit&amp;section=6" title="Bewerk dit kopje: Groepering" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Decimaal_talstelsel&amp;action=edit&amp;section=6" title="De broncode bewerken van de sectie: Groepering"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading4"><h4 id="Getallen">Getallen</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Decimaal_talstelsel&amp;veaction=edit&amp;section=7" title="Bewerk dit kopje: Getallen" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Decimaal_talstelsel&amp;action=edit&amp;section=7" title="De broncode bewerken van de sectie: Getallen"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <div style="text-align: center; float: right; margin: 1em 0em 0em 1em;"> <table class="wikitable"> <tbody><tr> <th>Notatie</th> <th><a href="/wiki/Getal_(wiskunde)" title="Getal (wiskunde)">getal</a></th> <th><a href="/wiki/Miljard" title="Miljard">Miljard</a></th> <th><a href="/wiki/Miljoen" title="Miljoen">Miljoen</a></th> <th><a href="/wiki/1000_(getal)" title="1000 (getal)">Duizend</a></th> <th><a href="/wiki/1_(getal)" title="1 (getal)">Een</a> </th></tr> <tr> <td><a href="/wiki/Volksrepubliek_China" title="Volksrepubliek China">China</a>, <a href="/wiki/India" title="India">India</a>, <a href="/wiki/Angelsaksische_landen" title="Angelsaksische landen">Angelsaksische landen</a>, <a href="/wiki/Japan" title="Japan">Japan</a></td> <td>583,231,475,923.00</td> <td>583</td> <td>231</td> <td>475</td> <td>923 </td></tr> <tr> <td><a href="/wiki/Europa_(werelddeel)" title="Europa (werelddeel)">Vasteland van Europa</a></td> <td>583.231.475.923,00</td> <td>583</td> <td>231</td> <td>475</td> <td>923 </td></tr> <tr> <td><a href="/wiki/Zwitserland" title="Zwitserland">Zwitserland</a></td> <td>583’231’475’923,00</td> <td>583</td> <td>231</td> <td>475</td> <td>923 </td></tr> <tr> <td><a href="/wiki/Internationale_Organisatie_voor_Standaardisatie" title="Internationale Organisatie voor Standaardisatie">ISO</a>-standaard (31-0)</td> <td>583&#8201;231&#8201;475&#8201;923,00</td> <td>583</td> <td>231</td> <td>475</td> <td>923 </td></tr></tbody></table> </div> <p>De groepjes van drie cijfers waarin een getal wordt uitgesproken, worden ook vaak gescheiden genoteerd, gescheiden door <a href="/wiki/Punt_(teken)" title="Punt (teken)">punten</a>, komma's of spaties. Dit wordt gedaan om de leesbaarheid te vergroten. Hiermee wordt achteraan begonnen (dus op de plek van het <a href="/wiki/Decimaalteken" class="mw-redirect" title="Decimaalteken">decimaalteken</a>). Het fractionele deel wordt <i>niet</i> met punten gegroepeerd (maar soms wel met spaties). </p><p>In <a href="/wiki/Volksrepubliek_China" title="Volksrepubliek China">China</a>, <a href="/wiki/India" title="India">India</a>, de <a href="/wiki/Angelsaksische_landen" title="Angelsaksische landen">Angelsaksische landen</a> en <a href="/wiki/Japan" title="Japan">Japan</a> wordt een <a href="/wiki/Komma" title="Komma">komma</a> gebruikt voor de groepering en een punt als decimaalteken. Op een groot deel van het <a href="/wiki/Europa_(werelddeel)" title="Europa (werelddeel)">Europese vasteland</a> is dat andersom: een punt voor de groepering en een komma als decimaalteken. In <a href="/wiki/Zwitserland" title="Zwitserland">Zwitserland</a> wordt een <a href="/wiki/Apostrof_(leesteken)" title="Apostrof (leesteken)">apostrof</a> gebruikt voor de groepering (en een komma als decimaalteken). </p><p>Om verwarring te voorkomen schrijft een ISO-richtlijn voor dat (smalle, <a href="/wiki/Spatie#Harde_spatie" title="Spatie"> harde</a>) spaties de voorkeur hebben voor de groepering. </p><p>In India, <a href="/wiki/Pakistan" title="Pakistan">Pakistan</a> en andere Aziatische landen is ook een methode in gebruik waarbij gegroepeerd wordt op honderdduizend- en tienmiljoentallen. Voor honderdduizend wordt het woord <a href="/wiki/Lakh" title="Lakh">lakh</a> gebruikt. 10 lakh is 1 miljoen en wordt geschreven als 10,00,000. <a href="/wiki/Crore" title="Crore">Crore</a>, oftewel 100 lakh (10 miljoen), wordt geschreven als 1,00,00,000. </p> <div class="mw-heading mw-heading4"><h4 id="Getallen_van_vier_cijfers">Getallen van vier cijfers</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Decimaal_talstelsel&amp;veaction=edit&amp;section=8" title="Bewerk dit kopje: Getallen van vier cijfers" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Decimaal_talstelsel&amp;action=edit&amp;section=8" title="De broncode bewerken van de sectie: Getallen van vier cijfers"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Bij getallen van maximaal vier cijfers (dus ook jaartallen) is groepering niet nodig, men vindt deze getallen ook zonder groepering overzichtelijk. Dit geldt vooral in talen (waaronder het Nederlands) waarin deze getallen in honderdtallen worden uitgesproken (bijvoorbeeld 1945, negentien(honderd)vijfenveertig). </p><p>In sommige andere talen is dat anders. Zo schrijft men in bijvoorbeeld het Spaans 1.945, zelfs als het om een jaartal gaat. Dat komt overeen met de uitspraak: (vertaald) "duizend negenhonderdvijfenveertig". Men spreekt dus in duizendtallen, niet in honderdtallen. </p> <div class="mw-heading mw-heading4"><h4 id="Nummers">Nummers</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Decimaal_talstelsel&amp;veaction=edit&amp;section=9" title="Bewerk dit kopje: Nummers" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Decimaal_talstelsel&amp;action=edit&amp;section=9" title="De broncode bewerken van de sectie: Nummers"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>De eerder beschreven groepering wordt toegepast bij weergave van getallen. Bij nummers zoals telefoon-, bankrekening- of burgerservicenummers, die ook uit cijfers bestaan, wordt het indelen in groepjes anders gedaan. Ook de uitspraak is anders. </p> <div class="mw-heading mw-heading3"><h3 id="Decimaal,_als_aanduiding_van_nauwkeurigheid"><span id="Decimaal.2C_als_aanduiding_van_nauwkeurigheid"></span>Decimaal, als aanduiding van nauwkeurigheid</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Decimaal_talstelsel&amp;veaction=edit&amp;section=10" title="Bewerk dit kopje: Decimaal, als aanduiding van nauwkeurigheid" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Decimaal_talstelsel&amp;action=edit&amp;section=10" title="De broncode bewerken van de sectie: Decimaal, als aanduiding van nauwkeurigheid"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <div style="text-align: center; float: right; margin: 0em 0em 1em 1em;"> <table class="wikitable"> <tbody><tr> <th>Notatie</th> <th><a href="/wiki/Getal_(wiskunde)" title="Getal (wiskunde)">getal</a></th> <th>Aantal<br />decimalen<br />nauwkeurig </th></tr> <tr> <td><a href="/wiki/Volksrepubliek_China" title="Volksrepubliek China">China</a>, <a href="/wiki/India" title="India">India</a>, <a href="/wiki/Verenigde_Staten" title="Verenigde Staten">VS</a>, <a href="/wiki/Japan" title="Japan">Japan</a></td> <td>475.923</td> <td><center>3</center> </td></tr> <tr> <td><a href="/wiki/Europa_(werelddeel)" title="Europa (werelddeel)">vasteland van Europa</a></td> <td>475,923</td> <td><center>3</center> </td></tr> <tr> <td><a href="/wiki/Wetenschappelijke_notatie" title="Wetenschappelijke notatie">Wetenschappelijk</a></td> <td>4,75923×10<sup>2</sup></td> <td><center>3</center> </td></tr></tbody></table> </div> <p>Uitsluitend in het tientallige stelsel wordt een <a href="/wiki/Komma" title="Komma">komma</a> als scheidingsteken gebruikt. De cijfers achter de komma worden nu ook <b>decimalen</b> genoemd. Een getal met twee decimalen is ieder willekeurig getal waarbij twee cijfers achter de komma staan. Eventuele volgnullen veranderen de waarde van het getal niet (2,50 is evenveel als 2,5) maar het aantal decimalen is vaak wel een indicatie van de nauwkeurigheid van het getal, ofwel de mate van afronding. </p> <div class="mw-heading mw-heading2"><h2 id="Andere_talstelsels">Andere talstelsels</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Decimaal_talstelsel&amp;veaction=edit&amp;section=11" title="Bewerk dit kopje: Andere talstelsels" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Decimaal_talstelsel&amp;action=edit&amp;section=11" title="De broncode bewerken van de sectie: Andere talstelsels"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Traditioneel <a href="/wiki/Vingertellen" title="Vingertellen">telt de mens met zijn vingers</a> van <a href="/wiki/1_(getal)" title="1 (getal)">één</a> tot <a href="/wiki/10_(getal)" title="10 (getal)">tien</a>, bijvoorbeeld door telkens één vinger te strekken en de andere vingers te buigen. Ongetwijfeld is het daardoor dat wij het tientallig <a href="/wiki/Talstelsel" title="Talstelsel">stelsel</a> gebruiken. In sommige culturen werd ook twintigtallig gewerkt, doordat men op vingers en tenen telde. Een erfenis daarvan is het Franse woord voor <a href="/wiki/80_(getal)" title="80 (getal)">80</a>, <i>quatre-vingts</i>, dat letterlijk 4 keer 20 betekent. De <a href="/wiki/Sumer" title="Sumer">Soemeriërs</a> en <a href="/wiki/Babyloni%C3%AB" title="Babylonië">Babyloniërs</a> gebruikten een <a href="/wiki/Sexagesimaal" class="mw-redirect" title="Sexagesimaal">zestigtallig</a> stelsel, wat nog altijd naklinkt in de verdeling van uren in minuten en die van minuten in seconden.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> De <a href="/wiki/Mesopotami%C3%AB" title="Mesopotamië">Mesopotamiërs</a> gebruikten een <a href="/wiki/Twaalftallig_stelsel" title="Twaalftallig stelsel">twaalftallig stelsel</a>. </p><p>In moderne <a href="/wiki/Digitaal" title="Digitaal">digitale</a> <a href="/wiki/Elektronica" title="Elektronica">elektronica</a> wordt gebruikgemaakt van het <a href="/wiki/Binair_talstelsel" title="Binair talstelsel">binaire (tweetallige) stelsel</a>, omdat de twee waarden 0 en 1 goed kunnen worden afgebeeld op de aan- en uitstatus van een <a href="/wiki/Schakelaar" title="Schakelaar">schakelaar</a>. Bij het <a href="/wiki/Programmeren_(computer)" title="Programmeren (computer)">programmeren</a> van computers wordt soms gebruikgemaakt van het <a href="/wiki/Octaal" class="mw-redirect" title="Octaal">octale</a> (achttallige) of het <a href="/wiki/Hexadecimaal" class="mw-redirect" title="Hexadecimaal">hexadecimale</a> (zestientallige) stelsel, wat kan worden gezien als een overzichtelijker notatie van het binaire stelsel. </p> <div class="toccolours appendix" role="presentation" style="font-size:90%; margin:1em 0 -0.5em; clear:both;"> <div><span style="font-weight:bold">Bronnen, noten en/of referenties</span></div> <div class="reflist" style="list-style-type: decimal;"><div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text">Bartel Leendert Waerden, <a rel="nofollow" class="external text" href="http://books.google.co.uk/books?id=PDHQAAAAMAAJ&amp;q=minuten+zestigtallig">Ontwakende wetenschap</a> p. 46 (P. Noordhoff, 1950)</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text">Rik Verhulst, <a rel="nofollow" class="external text" href="http://books.google.nl/books?id=-5QEjk0F-IwC&amp;pg=PA208&amp;dq=Babyloniërs+zestigtallig">In de ban van wiskunde: het cultuurverschijnsel mathematica in beschaving, kunst, natuur en leven</a> pp. 208-210 (Garant, 2006)</span> </li> </ol></div></div> </div> <!-- NewPP limit report Parsed by mw‐web.eqiad.main‐565d46677b‐jdnsq Cached time: 20241128125642 Cache expiry: 2592000 Reduced expiry: false Complications: [show‐toc] CPU time usage: 0.088 seconds Real time usage: 0.172 seconds Preprocessor visited node count: 500/1000000 Post‐expand include size: 5908/2097152 bytes Template argument size: 3355/2097152 bytes Highest expansion depth: 12/100 Expensive parser function count: 0/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 3852/5000000 bytes Lua time usage: 0.002/10.000 seconds Lua memory usage: 586355/52428800 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 67.305 1 -total 57.19% 38.492 1 Sjabloon:Zijbalk_getalsystemen 50.66% 34.098 1 Sjabloon:Zijbalk_generiek 41.35% 27.830 2 Sjabloon:Kolommen_lijst 30.33% 20.414 1 Sjabloon:Appendix 25.93% 17.453 1 Sjabloon:References 4.49% 3.024 2 Sjabloon:Sup 4.28% 2.878 2 Sjabloon:Yesno 2.77% 1.867 2 Sjabloon:Nowrap --> <!-- Saved in parser cache with key nlwiki:pcache:395:|#|:idhash:canonical and timestamp 20241128125642 and revision id 68288266. 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