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Bilang - Wikipedia, ang malayang ensiklopedya
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artikulo</span></a></li><li id="n-aboutsite" class="mw-list-item"><a href="/wiki/Wikipedia:Patungkol"><span>Patungkol sa Wikipedia</span></a></li><li id="n-currentevents" class="mw-list-item"><a href="/wiki/Wikipedia:Kasalukuyang_pangyayari" title="Hanapin ang mga impormasyon tungkol sa mga kamakailang kaganapan"><span>Mga kaganapan</span></a></li><li id="n-specialpages" class="mw-list-item"><a href="/wiki/Natatangi:Natatanging_mga_pahina"><span>Natatanging pahina</span></a></li> </ul> </div> </div> <div id="p-Pakikihalubilo" class="vector-menu mw-portlet mw-portlet-Pakikihalubilo" > <div class="vector-menu-heading"> Pakikihalubilo </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-portal" class="mw-list-item"><a href="/wiki/Wikipedia:Puntahan_ng_pamayanan" title="Tungkol sa proyekto, ano ang maari mong gawin, at kung saan maari maghanap ng mga bagay"><span>Pamayanan</span></a></li><li id="n-Kapihan" class="mw-list-item"><a href="/wiki/Wikipedia:Kapihan"><span>Kapihan</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Natatangi:Mga_huling_binago" title="Tala ng mga huling pagbabago sa wiki. [r]" accesskey="r"><span>Mga huling binago</span></a></li><li id="n-contactpage" class="mw-list-item"><a href="/wiki/Wikipedia:Makipag-ugnayan_sa_amin" title="Paano makokontak ang Wikipedia"><span>Makipag-ugnayan</span></a></li><li id="n-help" class="mw-list-item"><a href="/wiki/Wikipedia:Tulong" title="Ang lugar para maghanap ng tulong sa Wikipedia."><span>Tulong</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Unang_Pahina" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="Wikipedia" src="/static/images/mobile/copyright/wikipedia-wordmark-en.svg" style="width: 7.5em; height: 1.125em;"> <img class="mw-logo-tagline" alt="Ang Malayang Ensiklopedya" src="/static/images/mobile/copyright/wikipedia-tagline-tl.svg" width="119" height="13" style="width: 7.4375em; height: 0.8125em;"> </span> </a> 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type="search" name="search" placeholder="Maghanap sa Wikipedia" aria-label="Maghanap sa Wikipedia" autocapitalize="sentences" title="Maghanap sa Wikipedia [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Natatangi:Maghanap"> </div> <button class="cdx-button cdx-search-input__end-button">Hanapin</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Mga pansariling kagamitan"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="Itsura"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Change the appearance of the page's font size, width, and color" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="Itsura" > <label id="vector-appearance-dropdown-label" for="vector-appearance-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-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Itsura</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="https://donate.wikimedia.org/?wmf_source=donate&wmf_medium=sidebar&wmf_campaign=tl.wikipedia.org&uselang=tl" class=""><span>Donasyon</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Natatangi:Likhain_ang_kuwenta&returnto=Bilang" title="Mas maganda kung gagawa ka ng account at magla-login; gayunpaman, hindi ka pinipilit gawin ito" class=""><span>Gumawa ng account</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=Natatangi:Paglagda_ng_tagagamit&returnto=Bilang" title="Mas maganda kung magla-login ka; gayunpaman, hindi ka pinipilit gawin ito [o]" accesskey="o" class=""><span>Mag-login</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="Marami pang pagpipilian" > <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="Mga pansariling kagamitan" > <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">Mga pansariling kagamitan</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal" title="User menu" > <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="https://donate.wikimedia.org/?wmf_source=donate&wmf_medium=sidebar&wmf_campaign=tl.wikipedia.org&uselang=tl"><span>Donasyon</span></a></li><li id="pt-contribute" class="mw-list-item"><a href="/wiki/Natatangi:Contribute"><span class="vector-icon mw-ui-icon-edit mw-ui-icon-wikimedia-edit"></span> <span>Mag-ambag</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Natatangi:Likhain_ang_kuwenta&returnto=Bilang" title="Mas maganda kung gagawa ka ng account at magla-login; gayunpaman, hindi ka pinipilit gawin ito"><span class="vector-icon mw-ui-icon-userAdd 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accesskey="n"><span>Usapan</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"><!-- CentralNotice --></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Sayt"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Mga nilalaman" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Mga nilalaman</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">ilipat sa gilid</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">itago</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">Simula</div> </a> </li> <li id="toc-Ang_Mag-aanak_na_bilang" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Ang_Mag-aanak_na_bilang"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Ang Mag-aanak na bilang</span> </div> </a> <ul id="toc-Ang_Mag-aanak_na_bilang-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Mga_uri_ng_bilang" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Mga_uri_ng_bilang"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Mga uri ng bilang</span> </div> </a> <button aria-controls="toc-Mga_uri_ng_bilang-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>Ipakita/Itago ang subseksyon na Mga uri ng bilang</span> </button> <ul id="toc-Mga_uri_ng_bilang-sublist" class="vector-toc-list"> <li id="toc-Likas_na_bilang" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Likas_na_bilang"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Likas na bilang</span> </div> </a> <ul id="toc-Likas_na_bilang-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Buumbilang" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Buumbilang"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>Buumbilang</span> </div> </a> <ul id="toc-Buumbilang-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Makatuwirang_bilang" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Makatuwirang_bilang"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.3</span> <span>Makatuwirang bilang</span> </div> </a> <ul id="toc-Makatuwirang_bilang-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Hindi_makatuwirang_bilang" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Hindi_makatuwirang_bilang"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.4</span> <span>Hindi makatuwirang bilang</span> </div> </a> <ul id="toc-Hindi_makatuwirang_bilang-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Totoong_bilang" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Totoong_bilang"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.5</span> <span>Totoong bilang</span> </div> </a> <ul id="toc-Totoong_bilang-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Hindi_totoong_bilang" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Hindi_totoong_bilang"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.6</span> <span>Hindi totoong bilang</span> </div> </a> <ul id="toc-Hindi_totoong_bilang-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Masalimuot_na_bilang" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Masalimuot_na_bilang"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.7</span> <span>Masalimuot na bilang</span> </div> </a> <ul id="toc-Masalimuot_na_bilang-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Lumalampas_na_mga_bilang" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Lumalampas_na_mga_bilang"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.8</span> <span>Lumalampas na mga bilang</span> </div> </a> <ul id="toc-Lumalampas_na_mga_bilang-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Sanggunian" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Sanggunian"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Sanggunian</span> </div> </a> <button aria-controls="toc-Sanggunian-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>Ipakita/Itago ang subseksyon na Sanggunian</span> </button> <ul id="toc-Sanggunian-sublist" class="vector-toc-list"> <li id="toc-Talababa" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Talababa"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>Talababa</span> </div> </a> <ul id="toc-Talababa-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Talaaklatan" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Talaaklatan"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2</span> <span>Talaaklatan</span> </div> </a> <ul id="toc-Talaaklatan-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Mga nilalaman" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Talaan ng mga Nilalaman" > <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="Itago/Ipakita ang talaan ng mga nilalaman" > <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">Itago/Ipakita ang talaan ng mga nilalaman</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">Bilang</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="Pumunta sa isang artikulo na nakasulat sa ibang wika. Mayroon ito sa 191 (na) wika" > <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-191" 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">191 wika</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Getal" title="Getal – Afrikaans" lang="af" hreflang="af" data-title="Getal" data-language-autonym="Afrikaans" data-language-local-name="Afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Zahl" title="Zahl – Alemannic" lang="gsw" hreflang="gsw" data-title="Zahl" data-language-autonym="Alemannisch" data-language-local-name="Alemannic" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%89%81%E1%8C%A5%E1%88%AD" title="ቁጥር – Amharic" lang="am" hreflang="am" data-title="ቁጥር" data-language-autonym="አማርኛ" data-language-local-name="Amharic" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Numero" title="Numero – Aragonese" lang="an" hreflang="an" data-title="Numero" data-language-autonym="Aragonés" data-language-local-name="Aragonese" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ang mw-list-item"><a href="https://ang.wikipedia.org/wiki/R%C4%ABm" title="Rīm – Old English" lang="ang" hreflang="ang" data-title="Rīm" data-language-autonym="Ænglisc" data-language-local-name="Old English" class="interlanguage-link-target"><span>Ænglisc</span></a></li><li class="interlanguage-link interwiki-anp mw-list-item"><a href="https://anp.wikipedia.org/wiki/%E0%A4%B8%E0%A4%82%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BE" title="संख्या – Angika" lang="anp" hreflang="anp" data-title="संख्या" data-language-autonym="अंगिका" data-language-local-name="Angika" class="interlanguage-link-target"><span>अंगिका</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B9%D8%AF%D8%AF" title="عدد – Arabic" lang="ar" hreflang="ar" data-title="عدد" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-arc mw-list-item"><a href="https://arc.wikipedia.org/wiki/%DC%A1%DC%A2%DC%9D%DC%A2%DC%90" title="ܡܢܝܢܐ – Aramaic" lang="arc" hreflang="arc" data-title="ܡܢܝܢܐ" data-language-autonym="ܐܪܡܝܐ" data-language-local-name="Aramaic" class="interlanguage-link-target"><span>ܐܪܡܝܐ</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE" title="সংখ্যা – Assamese" lang="as" hreflang="as" data-title="সংখ্যা" data-language-autonym="অসমীয়া" data-language-local-name="Assamese" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/N%C3%BAmberu" title="Númberu – Asturian" lang="ast" hreflang="ast" data-title="Númberu" data-language-autonym="Asturianu" data-language-local-name="Asturian" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-atj mw-list-item"><a href="https://atj.wikipedia.org/wiki/Akitasowin" title="Akitasowin – Atikamekw" lang="atj" hreflang="atj" data-title="Akitasowin" data-language-autonym="Atikamekw" data-language-local-name="Atikamekw" class="interlanguage-link-target"><span>Atikamekw</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/%C6%8Fd%C9%99d" title="Ədəd – Azerbaijani" lang="az" hreflang="az" data-title="Ədəd" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbaijani" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%D8%B9%D8%AF%D8%AF" title="عدد – South Azerbaijani" lang="azb" hreflang="azb" data-title="عدد" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D2%BA%D0%B0%D0%BD" title="Һан – Bashkir" lang="ba" hreflang="ba" data-title="Һан" data-language-autonym="Башҡортса" data-language-local-name="Bashkir" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bar mw-list-item"><a href="https://bar.wikipedia.org/wiki/Zoih" title="Zoih – Bavarian" lang="bar" hreflang="bar" data-title="Zoih" data-language-autonym="Boarisch" data-language-local-name="Bavarian" class="interlanguage-link-target"><span>Boarisch</span></a></li><li class="interlanguage-link interwiki-bat-smg mw-list-item"><a href="https://bat-smg.wikipedia.org/wiki/Skaitlios" title="Skaitlios – Samogitian" lang="sgs" hreflang="sgs" data-title="Skaitlios" data-language-autonym="Žemaitėška" data-language-local-name="Samogitian" class="interlanguage-link-target"><span>Žemaitėška</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Bilang" title="Bilang – Central Bikol" lang="bcl" hreflang="bcl" data-title="Bilang" 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%9B%D1%96%D0%BA" title="Лік – Belarusian" lang="be" hreflang="be" data-title="Лік" data-language-autonym="Беларуская" data-language-local-name="Belarusian" 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%9B%D1%96%D0%BA" title="Лік – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="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-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A7%D0%B8%D1%81%D0%BB%D0%BE" title="Число – Bulgarian" lang="bg" hreflang="bg" data-title="Число" data-language-autonym="Български" data-language-local-name="Bulgarian" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bh mw-list-item"><a href="https://bh.wikipedia.org/wiki/%E0%A4%A8%E0%A4%82%E0%A4%AC%E0%A4%B0" title="नंबर – Bhojpuri" lang="bh" hreflang="bh" data-title="नंबर" data-language-autonym="भोजपुरी" data-language-local-name="Bhojpuri" class="interlanguage-link-target"><span>भोजपुरी</span></a></li><li class="interlanguage-link interwiki-bjn mw-list-item"><a href="https://bjn.wikipedia.org/wiki/Wilangan" title="Wilangan – Banjar" lang="bjn" hreflang="bjn" data-title="Wilangan" data-language-autonym="Banjar" data-language-local-name="Banjar" class="interlanguage-link-target"><span>Banjar</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%B8%E0%A6%82%E0%A6%96%E0%A7%8D%E0%A6%AF%E0%A6%BE" title="সংখ্যা – Bangla" lang="bn" hreflang="bn" data-title="সংখ্যা" data-language-autonym="বাংলা" data-language-local-name="Bangla" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bo mw-list-item"><a href="https://bo.wikipedia.org/wiki/%E0%BD%82%E0%BE%B2%E0%BD%84%E0%BD%A6%E0%BC%8B%E0%BD%80%E0%BC%8D" title="གྲངས་ཀ། – Tibetan" lang="bo" hreflang="bo" data-title="གྲངས་ཀ།" data-language-autonym="བོད་ཡིག" data-language-local-name="Tibetan" class="interlanguage-link-target"><span>བོད་ཡིག</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Niver" title="Niver – Breton" lang="br" hreflang="br" data-title="Niver" data-language-autonym="Brezhoneg" data-language-local-name="Breton" 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/Broj" title="Broj – Bosnian" lang="bs" hreflang="bs" data-title="Broj" data-language-autonym="Bosanski" data-language-local-name="Bosnian" 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/%D0%A2%D0%BE%D0%BE" title="Тоо – Russia Buriat" lang="bxr" hreflang="bxr" data-title="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 badge-Q17437798 badge-goodarticle mw-list-item" title="good article badge"><a href="https://ca.wikipedia.org/wiki/Nombre" title="Nombre – Catalan" lang="ca" hreflang="ca" data-title="Nombre" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cbk-zam mw-list-item"><a href="https://cbk-zam.wikipedia.org/wiki/Numero" title="Numero – Chavacano" lang="cbk" hreflang="cbk" data-title="Numero" data-language-autonym="Chavacano de Zamboanga" data-language-local-name="Chavacano" class="interlanguage-link-target"><span>Chavacano de Zamboanga</span></a></li><li class="interlanguage-link interwiki-cho mw-list-item"><a href="https://cho.wikipedia.org/wiki/Hohltina" title="Hohltina – Choctaw" lang="cho" hreflang="cho" data-title="Hohltina" data-language-autonym="Chahta anumpa" data-language-local-name="Choctaw" class="interlanguage-link-target"><span>Chahta anumpa</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" title="ژمارە – Central Kurdish" lang="ckb" hreflang="ckb" data-title="ژمارە" data-language-autonym="کوردی" data-language-local-name="Central Kurdish" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-co mw-list-item"><a href="https://co.wikipedia.org/wiki/Numeru" title="Numeru – Corsican" lang="co" hreflang="co" data-title="Numeru" data-language-autonym="Corsu" data-language-local-name="Corsican" class="interlanguage-link-target"><span>Corsu</span></a></li><li class="interlanguage-link interwiki-cr mw-list-item"><a href="https://cr.wikipedia.org/wiki/%E1%90%8A%E1%91%AD%E1%90%A6%E1%91%96%E1%93%B1%E1%90%A3" title="ᐊᑭᐦᑖᓱᐣ – Cree" lang="cr" hreflang="cr" data-title="ᐊᑭᐦᑖᓱᐣ" data-language-autonym="Nēhiyawēwin / ᓀᐦᐃᔭᐍᐏᐣ" data-language-local-name="Cree" class="interlanguage-link-target"><span>Nēhiyawēwin / ᓀᐦᐃᔭᐍᐏᐣ</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/%C4%8C%C3%ADslo" title="Číslo – Czech" lang="cs" hreflang="cs" data-title="Číslo" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cu mw-list-item"><a href="https://cu.wikipedia.org/wiki/%D0%A7%D0%B8%D1%81%D0%BC%D1%A7" title="Чисмѧ – Church Slavic" lang="cu" hreflang="cu" data-title="Чисмѧ" data-language-autonym="Словѣньскъ / ⰔⰎⰑⰂⰡⰐⰠⰔⰍⰟ" data-language-local-name="Church Slavic" class="interlanguage-link-target"><span>Словѣньскъ / ⰔⰎⰑⰂⰡⰐⰠⰔⰍⰟ</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%A5%D0%B8%D1%81%D0%B5%D0%BF" title="Хисеп – Chuvash" lang="cv" hreflang="cv" data-title="Хисеп" data-language-autonym="Чӑвашла" data-language-local-name="Chuvash" 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" title="Rhif – Welsh" lang="cy" hreflang="cy" data-title="Rhif" data-language-autonym="Cymraeg" data-language-local-name="Welsh" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Tal" title="Tal – Danish" lang="da" hreflang="da" data-title="Tal" data-language-autonym="Dansk" data-language-local-name="Danish" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-dag mw-list-item"><a href="https://dag.wikipedia.org/wiki/Kalinli" title="Kalinli – Dagbani" lang="dag" hreflang="dag" data-title="Kalinli" data-language-autonym="Dagbanli" data-language-local-name="Dagbani" class="interlanguage-link-target"><span>Dagbanli</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Zahl" title="Zahl – German" lang="de" hreflang="de" data-title="Zahl" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-dty mw-list-item"><a href="https://dty.wikipedia.org/wiki/%E0%A4%85%E0%A4%82%E0%A4%95%E0%A4%BE" title="अंका – Doteli" lang="dty" hreflang="dty" data-title="अंका" data-language-autonym="डोटेली" data-language-local-name="Doteli" class="interlanguage-link-target"><span>डोटेली</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%91%CF%81%CE%B9%CE%B8%CE%BC%CF%8C%CF%82" title="Αριθμός – Greek" lang="el" hreflang="el" data-title="Αριθμός" data-language-autonym="Ελληνικά" data-language-local-name="Greek" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-eml mw-list-item"><a href="https://eml.wikipedia.org/wiki/N%C3%B3mmer" title="Nómmer – Emiliano-Romagnolo" lang="egl" hreflang="egl" data-title="Nómmer" data-language-autonym="Emiliàn e rumagnòl" data-language-local-name="Emiliano-Romagnolo" class="interlanguage-link-target"><span>Emiliàn e rumagnòl</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Number" title="Number – English" lang="en" hreflang="en" data-title="Number" data-language-autonym="English" data-language-local-name="English" 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/Nombro" title="Nombro – Esperanto" lang="eo" hreflang="eo" data-title="Nombro" 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" title="Número – Spanish" lang="es" hreflang="es" data-title="Número" data-language-autonym="Español" data-language-local-name="Spanish" 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/Arv" title="Arv – Estonian" lang="et" hreflang="et" data-title="Arv" data-language-autonym="Eesti" data-language-local-name="Estonian" 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" title="Zenbaki – Basque" lang="eu" hreflang="eu" data-title="Zenbaki" data-language-autonym="Euskara" data-language-local-name="Basque" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-ext mw-list-item"><a href="https://ext.wikipedia.org/wiki/N%C3%BAmiru" title="Númiru – Extremaduran" lang="ext" hreflang="ext" data-title="Númiru" data-language-autonym="Estremeñu" data-language-local-name="Extremaduran" class="interlanguage-link-target"><span>Estremeñu</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B9%D8%AF%D8%AF" title="عدد – Persian" lang="fa" hreflang="fa" data-title="عدد" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-ff mw-list-item"><a href="https://ff.wikipedia.org/wiki/Limle" title="Limle – Fula" lang="ff" hreflang="ff" data-title="Limle" data-language-autonym="Fulfulde" data-language-local-name="Fula" class="interlanguage-link-target"><span>Fulfulde</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Luku" title="Luku – Finnish" lang="fi" hreflang="fi" data-title="Luku" data-language-autonym="Suomi" data-language-local-name="Finnish" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fiu-vro mw-list-item"><a href="https://fiu-vro.wikipedia.org/wiki/Arv" title="Arv – Võro" lang="vro" hreflang="vro" data-title="Arv" data-language-autonym="Võro" data-language-local-name="Võro" class="interlanguage-link-target"><span>Võro</span></a></li><li class="interlanguage-link interwiki-fj mw-list-item"><a href="https://fj.wikipedia.org/wiki/Naba" title="Naba – Fijian" lang="fj" hreflang="fj" data-title="Naba" data-language-autonym="Na Vosa Vakaviti" data-language-local-name="Fijian" class="interlanguage-link-target"><span>Na Vosa Vakaviti</span></a></li><li class="interlanguage-link interwiki-fo mw-list-item"><a href="https://fo.wikipedia.org/wiki/Tal" title="Tal – Faroese" lang="fo" hreflang="fo" data-title="Tal" data-language-autonym="Føroyskt" data-language-local-name="Faroese" class="interlanguage-link-target"><span>Føroyskt</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Nombre" title="Nombre – French" lang="fr" hreflang="fr" data-title="Nombre" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frp mw-list-item"><a href="https://frp.wikipedia.org/wiki/Nombro" title="Nombro – Arpitan" lang="frp" hreflang="frp" data-title="Nombro" data-language-autonym="Arpetan" data-language-local-name="Arpitan" class="interlanguage-link-target"><span>Arpetan</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Taal" title="Taal – Northern Frisian" lang="frr" hreflang="frr" data-title="Taal" data-language-autonym="Nordfriisk" data-language-local-name="Northern Frisian" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-fy mw-list-item"><a href="https://fy.wikipedia.org/wiki/Getal" title="Getal – Western Frisian" lang="fy" hreflang="fy" data-title="Getal" data-language-autonym="Frysk" data-language-local-name="Western Frisian" class="interlanguage-link-target"><span>Frysk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Uimhir" title="Uimhir – Irish" lang="ga" hreflang="ga" data-title="Uimhir" data-language-autonym="Gaeilge" data-language-local-name="Irish" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E6%95%B8" title="數 – Gan" lang="gan" hreflang="gan" data-title="數" data-language-autonym="贛語" data-language-local-name="Gan" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/Nomm" title="Nomm – Guianan Creole" lang="gcr" hreflang="gcr" data-title="Nomm" data-language-autonym="Kriyòl gwiyannen" data-language-local-name="Guianan Creole" class="interlanguage-link-target"><span>Kriyòl gwiyannen</span></a></li><li class="interlanguage-link interwiki-gd mw-list-item"><a href="https://gd.wikipedia.org/wiki/%C3%80ireamh" title="Àireamh – Scottish Gaelic" lang="gd" hreflang="gd" data-title="Àireamh" data-language-autonym="Gàidhlig" data-language-local-name="Scottish Gaelic" 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" title="Número – Galician" lang="gl" hreflang="gl" data-title="Número" data-language-autonym="Galego" data-language-local-name="Galician" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gn mw-list-item"><a href="https://gn.wikipedia.org/wiki/Papapy" title="Papapy – Guarani" lang="gn" hreflang="gn" data-title="Papapy" data-language-autonym="Avañe'ẽ" data-language-local-name="Guarani" class="interlanguage-link-target"><span>Avañe'ẽ</span></a></li><li class="interlanguage-link interwiki-guc mw-list-item"><a href="https://guc.wikipedia.org/wiki/Nuumerokana" title="Nuumerokana – Wayuu" lang="guc" hreflang="guc" data-title="Nuumerokana" data-language-autonym="Wayuunaiki" data-language-local-name="Wayuu" class="interlanguage-link-target"><span>Wayuunaiki</span></a></li><li class="interlanguage-link interwiki-ha mw-list-item"><a href="https://ha.wikipedia.org/wiki/Lamba" title="Lamba – Hausa" lang="ha" hreflang="ha" data-title="Lamba" data-language-autonym="Hausa" data-language-local-name="Hausa" class="interlanguage-link-target"><span>Hausa</span></a></li><li class="interlanguage-link interwiki-haw mw-list-item"><a href="https://haw.wikipedia.org/wiki/N%C4%81_helu" title="Nā helu – Hawaiian" lang="haw" hreflang="haw" data-title="Nā helu" data-language-autonym="Hawaiʻi" data-language-local-name="Hawaiian" class="interlanguage-link-target"><span>Hawaiʻi</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" title="מספר – Hebrew" lang="he" hreflang="he" data-title="מספר" data-language-autonym="עברית" data-language-local-name="Hebrew" 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%B8%E0%A4%82%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BE" title="संख्या – Hindi" lang="hi" hreflang="hi" data-title="संख्या" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hif mw-list-item"><a href="https://hif.wikipedia.org/wiki/Ginti" title="Ginti – Fiji Hindi" lang="hif" hreflang="hif" data-title="Ginti" data-language-autonym="Fiji Hindi" data-language-local-name="Fiji Hindi" class="interlanguage-link-target"><span>Fiji Hindi</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Broj" title="Broj – Croatian" lang="hr" hreflang="hr" data-title="Broj" data-language-autonym="Hrvatski" data-language-local-name="Croatian" 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/Nonm" title="Nonm – Haitian Creole" lang="ht" hreflang="ht" data-title="Nonm" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Haitian Creole" 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/Sz%C3%A1m" title="Szám – Hungarian" lang="hu" hreflang="hu" data-title="Szám" data-language-autonym="Magyar" data-language-local-name="Hungarian" 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%B9%D5%AB%D5%BE" title="Թիվ – Armenian" lang="hy" hreflang="hy" data-title="Թիվ" data-language-autonym="Հայերեն" data-language-local-name="Armenian" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hyw mw-list-item"><a href="https://hyw.wikipedia.org/wiki/%D4%B9%D5%AB%D6%82" title="Թիւ – Western Armenian" lang="hyw" hreflang="hyw" data-title="Թիւ" data-language-autonym="Արեւմտահայերէն" data-language-local-name="Western Armenian" class="interlanguage-link-target"><span>Արեւմտահայերէն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Numero" title="Numero – Interlingua" lang="ia" hreflang="ia" data-title="Numero" data-language-autonym="Interlingua" data-language-local-name="Interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-iba mw-list-item"><a href="https://iba.wikipedia.org/wiki/Lumur" title="Lumur – Iban" lang="iba" hreflang="iba" data-title="Lumur" 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" title="Bilangan – Indonesian" lang="id" hreflang="id" data-title="Bilangan" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesian" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ilo mw-list-item"><a href="https://ilo.wikipedia.org/wiki/Numero" title="Numero – Iloko" lang="ilo" hreflang="ilo" data-title="Numero" data-language-autonym="Ilokano" data-language-local-name="Iloko" class="interlanguage-link-target"><span>Ilokano</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Nombro" title="Nombro – Ido" lang="io" hreflang="io" data-title="Nombro" 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/Tala_(st%C3%A6r%C3%B0fr%C3%A6%C3%B0i)" title="Tala (stærðfræði) – Icelandic" lang="is" hreflang="is" data-title="Tala (stærðfræði)" data-language-autonym="Íslenska" data-language-local-name="Icelandic" 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" title="Numero – Italian" lang="it" hreflang="it" data-title="Numero" data-language-autonym="Italiano" data-language-local-name="Italian" 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%95%B0" title="数 – Japanese" lang="ja" hreflang="ja" data-title="数" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Nomba" title="Nomba – Jamaican Creole English" lang="jam" hreflang="jam" data-title="Nomba" data-language-autonym="Patois" data-language-local-name="Jamaican Creole English" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-jbo mw-list-item"><a href="https://jbo.wikipedia.org/wiki/namcu" title="namcu – Lojban" lang="jbo" hreflang="jbo" data-title="namcu" data-language-autonym="La .lojban." data-language-local-name="Lojban" class="interlanguage-link-target"><span>La .lojban.</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Wilangan_(mat%C3%A9matika)" title="Wilangan (matématika) – Javanese" lang="jv" hreflang="jv" data-title="Wilangan (matématika)" data-language-autonym="Jawa" data-language-local-name="Javanese" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%A0%E1%83%98%E1%83%AA%E1%83%AE%E1%83%95%E1%83%98" title="რიცხვი – Georgian" lang="ka" hreflang="ka" data-title="რიცხვი" data-language-autonym="ქართული" data-language-local-name="Georgian" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kaa mw-list-item"><a href="https://kaa.wikipedia.org/wiki/San" title="San – Kara-Kalpak" lang="kaa" hreflang="kaa" data-title="San" data-language-autonym="Qaraqalpaqsha" data-language-local-name="Kara-Kalpak" class="interlanguage-link-target"><span>Qaraqalpaqsha</span></a></li><li class="interlanguage-link interwiki-kab mw-list-item"><a href="https://kab.wikipedia.org/wiki/Am%E1%B8%8Dan" title="Amḍan – Kabyle" lang="kab" hreflang="kab" data-title="Amḍan" data-language-autonym="Taqbaylit" data-language-local-name="Kabyle" class="interlanguage-link-target"><span>Taqbaylit</span></a></li><li class="interlanguage-link interwiki-kbp mw-list-item"><a href="https://kbp.wikipedia.org/wiki/%C3%91%CA%8A%CA%8A_(t%CA%8A%CA%8Az%CA%8A%CA%8A)" title="Ñʊʊ (tʊʊzʊʊ) – Kabiye" lang="kbp" hreflang="kbp" data-title="Ñʊʊ (tʊʊzʊʊ)" data-language-autonym="Kabɩyɛ" data-language-local-name="Kabiye" class="interlanguage-link-target"><span>Kabɩyɛ</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%A1%D0%B0%D0%BD" title="Сан – Kazakh" lang="kk" hreflang="kk" data-title="Сан" data-language-autonym="Қазақша" data-language-local-name="Kazakh" 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%B8%E0%B2%82%E0%B2%96%E0%B3%8D%E0%B2%AF%E0%B3%86" title="ಸಂಖ್ಯೆ – Kannada" lang="kn" hreflang="kn" data-title="ಸಂಖ್ಯೆ" 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%88%98_(%EC%88%98%ED%95%99)" title="수 (수학) – Korean" lang="ko" hreflang="ko" data-title="수 (수학)" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ks mw-list-item"><a href="https://ks.wikipedia.org/wiki/%DA%AF%D8%B1%D9%8E%D9%9B%D9%86%D9%9B%D8%AF" title="گرَٛنٛد – Kashmiri" lang="ks" hreflang="ks" data-title="گرَٛنٛد" data-language-autonym="कॉशुर / کٲشُر" data-language-local-name="Kashmiri" class="interlanguage-link-target"><span>कॉशुर / کٲشُر</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Hejmar" title="Hejmar – Kurdish" lang="ku" hreflang="ku" data-title="Hejmar" data-language-autonym="Kurdî" data-language-local-name="Kurdish" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-kw mw-list-item"><a href="https://kw.wikipedia.org/wiki/Niver" title="Niver – Cornish" lang="kw" hreflang="kw" data-title="Niver" data-language-autonym="Kernowek" data-language-local-name="Cornish" class="interlanguage-link-target"><span>Kernowek</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Numerus" title="Numerus – Latin" lang="la" hreflang="la" data-title="Numerus" data-language-autonym="Latina" data-language-local-name="Latin" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Zuel" title="Zuel – Luxembourgish" lang="lb" hreflang="lb" data-title="Zuel" data-language-autonym="Lëtzebuergesch" data-language-local-name="Luxembourgish" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lbe mw-list-item"><a href="https://lbe.wikipedia.org/wiki/%D0%90%D1%8C%D0%B4%D0%B0%D0%B4" title="Аьдад – Lak" lang="lbe" hreflang="lbe" data-title="Аьдад" data-language-autonym="Лакку" data-language-local-name="Lak" class="interlanguage-link-target"><span>Лакку</span></a></li><li class="interlanguage-link interwiki-lfn mw-list-item"><a href="https://lfn.wikipedia.org/wiki/Numero" title="Numero – Lingua Franca Nova" lang="lfn" hreflang="lfn" data-title="Numero" 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-lg mw-list-item"><a href="https://lg.wikipedia.org/wiki/Ennamba" title="Ennamba – Ganda" lang="lg" hreflang="lg" data-title="Ennamba" data-language-autonym="Luganda" data-language-local-name="Ganda" class="interlanguage-link-target"><span>Luganda</span></a></li><li class="interlanguage-link interwiki-li mw-list-item"><a href="https://li.wikipedia.org/wiki/Getal" title="Getal – Limburgish" lang="li" hreflang="li" data-title="Getal" data-language-autonym="Limburgs" data-language-local-name="Limburgish" class="interlanguage-link-target"><span>Limburgs</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Numer" title="Numer – Lombard" lang="lmo" hreflang="lmo" data-title="Numer" data-language-autonym="Lombard" data-language-local-name="Lombard" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-lo mw-list-item"><a href="https://lo.wikipedia.org/wiki/%E0%BA%88%E0%BA%B3%E0%BA%99%E0%BA%A7%E0%BA%99" title="ຈຳນວນ – Lao" lang="lo" hreflang="lo" data-title="ຈຳນວນ" data-language-autonym="ລາວ" data-language-local-name="Lao" class="interlanguage-link-target"><span>ລາວ</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Skai%C4%8Dius" title="Skaičius – Lithuanian" lang="lt" hreflang="lt" data-title="Skaičius" data-language-autonym="Lietuvių" data-language-local-name="Lithuanian" 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/Skaitlis" title="Skaitlis – Latvian" lang="lv" hreflang="lv" data-title="Skaitlis" data-language-autonym="Latviešu" data-language-local-name="Latvian" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mai mw-list-item"><a href="https://mai.wikipedia.org/wiki/%E0%A4%85%E0%A4%82%E0%A4%95" title="अंक – Maithili" lang="mai" hreflang="mai" data-title="अंक" data-language-autonym="मैथिली" data-language-local-name="Maithili" class="interlanguage-link-target"><span>मैथिली</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Isa" title="Isa – Malagasy" lang="mg" hreflang="mg" data-title="Isa" data-language-autonym="Malagasy" data-language-local-name="Malagasy" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-mhr mw-list-item"><a href="https://mhr.wikipedia.org/wiki/%D0%A8%D0%BE%D1%82%D0%BF%D0%B0%D0%BB" title="Шотпал – Eastern Mari" lang="mhr" hreflang="mhr" data-title="Шотпал" 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%91%D1%80%D0%BE%D1%98" title="Број – Macedonian" lang="mk" hreflang="mk" data-title="Број" data-language-autonym="Македонски" data-language-local-name="Macedonian" 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%B8%E0%B4%82%E0%B4%96%E0%B5%8D%E0%B4%AF" title="സംഖ്യ – Malayalam" lang="ml" hreflang="ml" data-title="സംഖ്യ" 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%A2%D0%BE%D0%BE" title="Тоо – Mongolian" lang="mn" hreflang="mn" data-title="Тоо" data-language-autonym="Монгол" data-language-local-name="Mongolian" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%B8%E0%A4%82%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BE" title="संख्या – Marathi" lang="mr" hreflang="mr" data-title="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" title="Nombor – Malay" lang="ms" hreflang="ms" data-title="Nombor" data-language-autonym="Bahasa Melayu" data-language-local-name="Malay" 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/N%C3%BAmaro" title="Númaro – Mirandese" lang="mwl" hreflang="mwl" data-title="Númaro" data-language-autonym="Mirandés" data-language-local-name="Mirandese" class="interlanguage-link-target"><span>Mirandés</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%80%E1%80%AD%E1%80%94%E1%80%BA%E1%80%B8" title="ကိန်း – Burmese" lang="my" hreflang="my" data-title="ကိန်း" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="Burmese" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-mzn mw-list-item"><a href="https://mzn.wikipedia.org/wiki/%D8%A7%D8%B4%D9%85%D8%A7%D8%B1%DA%A9" title="اشمارک – Mazanderani" lang="mzn" hreflang="mzn" data-title="اشمارک" data-language-autonym="مازِرونی" data-language-local-name="Mazanderani" class="interlanguage-link-target"><span>مازِرونی</span></a></li><li class="interlanguage-link interwiki-nah mw-list-item"><a href="https://nah.wikipedia.org/wiki/Tlapohualli" title="Tlapohualli – Nahuatl" lang="nah" hreflang="nah" data-title="Tlapohualli" data-language-autonym="Nāhuatl" data-language-local-name="Nahuatl" class="interlanguage-link-target"><span>Nāhuatl</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Tahl" title="Tahl – Low German" lang="nds" hreflang="nds" data-title="Tahl" data-language-autonym="Plattdüütsch" data-language-local-name="Low German" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%85%E0%A4%99%E0%A5%8D%E0%A4%95" title="अङ्क – Nepali" lang="ne" hreflang="ne" data-title="अङ्क" data-language-autonym="नेपाली" data-language-local-name="Nepali" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-new mw-list-item"><a href="https://new.wikipedia.org/wiki/%E0%A4%B2%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%83" title="ल्याः – Newari" lang="new" hreflang="new" data-title="ल्याः" data-language-autonym="नेपाल भाषा" data-language-local-name="Newari" class="interlanguage-link-target"><span>नेपाल भाषा</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Getal_(wiskunde)" title="Getal (wiskunde) – Dutch" lang="nl" hreflang="nl" data-title="Getal (wiskunde)" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Tal" title="Tal – Norwegian Nynorsk" lang="nn" hreflang="nn" data-title="Tal" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegian 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/Tall" title="Tall – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Tall" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nov mw-list-item"><a href="https://nov.wikipedia.org/wiki/Nombre" title="Nombre – Novial" lang="nov" hreflang="nov" data-title="Nombre" data-language-autonym="Novial" data-language-local-name="Novial" class="interlanguage-link-target"><span>Novial</span></a></li><li class="interlanguage-link interwiki-nrm mw-list-item"><a href="https://nrm.wikipedia.org/wiki/Neunm%C3%A9tho" title="Neunmétho – Norman" lang="nrf" hreflang="nrf" data-title="Neunmétho" data-language-autonym="Nouormand" data-language-local-name="Norman" class="interlanguage-link-target"><span>Nouormand</span></a></li><li class="interlanguage-link interwiki-nso mw-list-item"><a href="https://nso.wikipedia.org/wiki/Nomoro" title="Nomoro – Northern Sotho" lang="nso" hreflang="nso" data-title="Nomoro" data-language-autonym="Sesotho sa Leboa" data-language-local-name="Northern 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/Nombre" title="Nombre – Occitan" lang="oc" hreflang="oc" data-title="Nombre" data-language-autonym="Occitan" data-language-local-name="Occitan" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-os mw-list-item"><a href="https://os.wikipedia.org/wiki/%D0%9D%D1%8B%D0%BC%C3%A6%D1%86" title="Нымæц – Ossetic" lang="os" hreflang="os" data-title="Нымæц" data-language-autonym="Ирон" data-language-local-name="Ossetic" class="interlanguage-link-target"><span>Ирон</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%85%E0%A9%B0%E0%A8%95" title="ਅੰਕ – Punjabi" lang="pa" hreflang="pa" data-title="ਅੰਕ" 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/Liczba" title="Liczba – Polish" lang="pl" hreflang="pl" data-title="Liczba" data-language-autonym="Polski" data-language-local-name="Polish" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/N%C3%B9mer" title="Nùmer – Piedmontese" lang="pms" hreflang="pms" data-title="Nùmer" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D9%86%D9%85%D8%A8%D8%B1" title="نمبر – Western Punjabi" lang="pnb" hreflang="pnb" data-title="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-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%D8%B9%D8%AF%D8%AF" title="عدد – Pashto" lang="ps" hreflang="ps" data-title="عدد" data-language-autonym="پښتو" data-language-local-name="Pashto" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/N%C3%BAmero" title="Número – Portuguese" lang="pt" hreflang="pt" data-title="Número" data-language-autonym="Português" data-language-local-name="Portuguese" 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/Yupay" title="Yupay – Quechua" lang="qu" hreflang="qu" data-title="Yupay" data-language-autonym="Runa Simi" data-language-local-name="Quechua" class="interlanguage-link-target"><span>Runa Simi</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Num%C4%83r" title="Număr – Romanian" lang="ro" hreflang="ro" data-title="Număr" data-language-autonym="Română" data-language-local-name="Romanian" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-roa-rup mw-list-item"><a href="https://roa-rup.wikipedia.org/wiki/Numiru" title="Numiru – Aromanian" lang="rup" hreflang="rup" data-title="Numiru" data-language-autonym="Armãneashti" data-language-local-name="Aromanian" class="interlanguage-link-target"><span>Armãneashti</span></a></li><li class="interlanguage-link interwiki-roa-tara mw-list-item"><a href="https://roa-tara.wikipedia.org/wiki/Numere" title="Numere – Tarantino" lang="nap-x-tara" hreflang="nap-x-tara" data-title="Numere" data-language-autonym="Tarandíne" data-language-local-name="Tarantino" class="interlanguage-link-target"><span>Tarandíne</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A7%D0%B8%D1%81%D0%BB%D0%BE" title="Число – Russian" lang="ru" hreflang="ru" data-title="Число" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-rue mw-list-item"><a href="https://rue.wikipedia.org/wiki/%D0%A7%D1%96%D1%81%D0%BB%D0%BE" title="Чісло – Rusyn" lang="rue" hreflang="rue" data-title="Чісло" data-language-autonym="Русиньскый" data-language-local-name="Rusyn" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-sa mw-list-item"><a href="https://sa.wikipedia.org/wiki/%E0%A4%B8%E0%A4%82%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%83" title="संख्याः – Sanskrit" lang="sa" hreflang="sa" data-title="संख्याः" data-language-autonym="संस्कृतम्" data-language-local-name="Sanskrit" class="interlanguage-link-target"><span>संस्कृतम्</span></a></li><li class="interlanguage-link interwiki-sah mw-list-item"><a href="https://sah.wikipedia.org/wiki/%D0%90%D1%85%D1%81%D0%B0%D0%B0%D0%BD" title="Ахсаан – Yakut" lang="sah" hreflang="sah" data-title="Ахсаан" data-language-autonym="Саха тыла" data-language-local-name="Yakut" class="interlanguage-link-target"><span>Саха тыла</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/N%C3%B9mmuru" title="Nùmmuru – Sicilian" lang="scn" hreflang="scn" data-title="Nùmmuru" data-language-autonym="Sicilianu" data-language-local-name="Sicilian" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sd mw-list-item"><a href="https://sd.wikipedia.org/wiki/%D8%A7%D9%86%DA%AF" title="انگ – Sindhi" lang="sd" hreflang="sd" data-title="انگ" data-language-autonym="سنڌي" data-language-local-name="Sindhi" class="interlanguage-link-target"><span>سنڌي</span></a></li><li class="interlanguage-link interwiki-sg mw-list-item"><a href="https://sg.wikipedia.org/wiki/N%C3%B6m%C3%B6r%C3%B6" title="Nömörö – Sango" lang="sg" hreflang="sg" data-title="Nömörö" data-language-autonym="Sängö" data-language-local-name="Sango" class="interlanguage-link-target"><span>Sängö</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Broj" title="Broj – Serbo-Croatian" lang="sh" hreflang="sh" data-title="Broj" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbo-Croatian" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-shi mw-list-item"><a href="https://shi.wikipedia.org/wiki/Am%E1%B8%8Dan" title="Amḍan – Tachelhit" lang="shi" hreflang="shi" data-title="Amḍan" data-language-autonym="Taclḥit" data-language-local-name="Tachelhit" class="interlanguage-link-target"><span>Taclḥit</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Number" title="Number – Simple English" lang="en-simple" hreflang="en-simple" data-title="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/%C4%8C%C3%ADslo_(matematika)" title="Číslo (matematika) – Slovak" lang="sk" hreflang="sk" data-title="Číslo (matematika)" data-language-autonym="Slovenčina" data-language-local-name="Slovak" 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/%C5%A0tevilo" title="Število – Slovenian" lang="sl" hreflang="sl" data-title="Število" data-language-autonym="Slovenščina" data-language-local-name="Slovenian" 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" title="Nhamba – Shona" lang="sn" hreflang="sn" data-title="Nhamba" 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/Thiin_(cillanaad)" title="Thiin (cillanaad) – Somali" lang="so" hreflang="so" data-title="Thiin (cillanaad)" data-language-autonym="Soomaaliga" data-language-local-name="Somali" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Numri" title="Numri – Albanian" lang="sq" hreflang="sq" data-title="Numri" data-language-autonym="Shqip" data-language-local-name="Albanian" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%91%D1%80%D0%BE%D1%98" title="Број – Serbian" lang="sr" hreflang="sr" data-title="Број" data-language-autonym="Српски / srpski" data-language-local-name="Serbian" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Wilangan" title="Wilangan – Sundanese" lang="su" hreflang="su" data-title="Wilangan" data-language-autonym="Sunda" data-language-local-name="Sundanese" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Tal" title="Tal – Swedish" lang="sv" hreflang="sv" data-title="Tal" data-language-autonym="Svenska" data-language-local-name="Swedish" 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" title="Namba – Swahili" lang="sw" hreflang="sw" data-title="Namba" data-language-autonym="Kiswahili" data-language-local-name="Swahili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-szl mw-list-item"><a href="https://szl.wikipedia.org/wiki/N%C5%AFmera" title="Nůmera – Silesian" lang="szl" hreflang="szl" data-title="Nůmera" data-language-autonym="Ślůnski" data-language-local-name="Silesian" class="interlanguage-link-target"><span>Ślůnski</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%8E%E0%AE%A3%E0%AF%8D" title="எண் – Tamil" lang="ta" hreflang="ta" data-title="எண்" data-language-autonym="தமிழ்" data-language-local-name="Tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tcy mw-list-item"><a href="https://tcy.wikipedia.org/wiki/%E0%B2%B8%E0%B2%82%E0%B2%96%E0%B3%8D%E0%B2%AF%E0%B3%86" title="ಸಂಖ್ಯೆ – Tulu" lang="tcy" hreflang="tcy" data-title="ಸಂಖ್ಯೆ" data-language-autonym="ತುಳು" data-language-local-name="Tulu" class="interlanguage-link-target"><span>ತುಳು</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%B8%E0%B0%82%E0%B0%96%E0%B1%8D%E0%B0%AF" title="సంఖ్య – Telugu" lang="te" hreflang="te" data-title="సంఖ్య" data-language-autonym="తెలుగు" data-language-local-name="Telugu" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%90%D0%B4%D0%B0%D0%B4" title="Адад – Tajik" lang="tg" hreflang="tg" data-title="Адад" data-language-autonym="Тоҷикӣ" data-language-local-name="Tajik" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%88%E0%B8%B3%E0%B8%99%E0%B8%A7%E0%B8%99" title="จำนวน – Thai" lang="th" hreflang="th" data-title="จำนวน" data-language-autonym="ไทย" data-language-local-name="Thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-ti mw-list-item"><a href="https://ti.wikipedia.org/wiki/%E1%89%81%E1%8C%BD%E1%88%AA" title="ቁጽሪ – Tigrinya" lang="ti" hreflang="ti" data-title="ቁጽሪ" data-language-autonym="ትግርኛ" data-language-local-name="Tigrinya" class="interlanguage-link-target"><span>ትግርኛ</span></a></li><li class="interlanguage-link interwiki-tk mw-list-item"><a href="https://tk.wikipedia.org/wiki/San" title="San – Turkmen" lang="tk" hreflang="tk" data-title="San" data-language-autonym="Türkmençe" data-language-local-name="Turkmen" class="interlanguage-link-target"><span>Türkmençe</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Say%C4%B1" title="Sayı – Turkish" lang="tr" hreflang="tr" data-title="Sayı" data-language-autonym="Türkçe" data-language-local-name="Turkish" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-ts mw-list-item"><a href="https://ts.wikipedia.org/wiki/Nomboro" title="Nomboro – Tsonga" lang="ts" hreflang="ts" data-title="Nomboro" data-language-autonym="Xitsonga" data-language-local-name="Tsonga" class="interlanguage-link-target"><span>Xitsonga</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%A1%D0%B0%D0%BD" title="Сан – Tatar" lang="tt" hreflang="tt" data-title="Сан" data-language-autonym="Татарча / tatarça" data-language-local-name="Tatar" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-tum mw-list-item"><a href="https://tum.wikipedia.org/wiki/Chipendero" title="Chipendero – Tumbuka" lang="tum" hreflang="tum" data-title="Chipendero" data-language-autonym="ChiTumbuka" data-language-local-name="Tumbuka" class="interlanguage-link-target"><span>ChiTumbuka</span></a></li><li class="interlanguage-link interwiki-udm mw-list-item"><a href="https://udm.wikipedia.org/wiki/%D0%9B%D1%8B%D0%B4" title="Лыд – Udmurt" lang="udm" hreflang="udm" data-title="Лыд" data-language-autonym="Удмурт" data-language-local-name="Udmurt" class="interlanguage-link-target"><span>Удмурт</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A7%D0%B8%D1%81%D0%BB%D0%BE" title="Число – Ukrainian" lang="uk" hreflang="uk" data-title="Число" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%B9%D8%AF%D8%AF" title="عدد – Urdu" lang="ur" hreflang="ur" data-title="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/Son" title="Son – Uzbek" lang="uz" hreflang="uz" data-title="Son" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Uzbek" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vec mw-list-item"><a href="https://vec.wikipedia.org/wiki/N%C3%B9maro" title="Nùmaro – Venetian" lang="vec" hreflang="vec" data-title="Nùmaro" data-language-autonym="Vèneto" data-language-local-name="Venetian" class="interlanguage-link-target"><span>Vèneto</span></a></li><li class="interlanguage-link interwiki-vep mw-list-item"><a href="https://vep.wikipedia.org/wiki/Lugu" title="Lugu – Veps" lang="vep" hreflang="vep" data-title="Lugu" data-language-autonym="Vepsän kel’" data-language-local-name="Veps" class="interlanguage-link-target"><span>Vepsän kel’</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/S%E1%BB%91" title="Số – Vietnamese" lang="vi" hreflang="vi" data-title="Số" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamese" 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/Ihap" title="Ihap – Waray" lang="war" hreflang="war" data-title="Ihap" 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/%E6%95%B0" title="数 – Wu" lang="wuu" hreflang="wuu" data-title="数" data-language-autonym="吴语" data-language-local-name="Wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xal mw-list-item"><a href="https://xal.wikipedia.org/wiki/%D0%A2%D0%BE%D0%B9%D0%B3" title="Тойг – Kalmyk" lang="xal" hreflang="xal" data-title="Тойг" data-language-autonym="Хальмг" data-language-local-name="Kalmyk" class="interlanguage-link-target"><span>Хальмг</span></a></li><li class="interlanguage-link interwiki-xh mw-list-item"><a href="https://xh.wikipedia.org/wiki/INANI" title="INANI – Xhosa" lang="xh" hreflang="xh" data-title="INANI" data-language-autonym="IsiXhosa" data-language-local-name="Xhosa" class="interlanguage-link-target"><span>IsiXhosa</span></a></li><li class="interlanguage-link interwiki-xmf mw-list-item"><a href="https://xmf.wikipedia.org/wiki/%E1%83%A0%E1%83%98%E1%83%AA%E1%83%AE%E1%83%A3" title="რიცხუ – Mingrelian" lang="xmf" hreflang="xmf" data-title="რიცხუ" data-language-autonym="მარგალური" data-language-local-name="Mingrelian" class="interlanguage-link-target"><span>მარგალური</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%A6%D7%90%D7%9C" title="צאל – Yiddish" lang="yi" hreflang="yi" data-title="צאל" data-language-autonym="ייִדיש" data-language-local-name="Yiddish" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-yo mw-list-item"><a href="https://yo.wikipedia.org/wiki/N%E1%BB%8D%CC%81mb%C3%A0" title="Nọ́mbà – Yoruba" lang="yo" hreflang="yo" data-title="Nọ́mbà" data-language-autonym="Yorùbá" data-language-local-name="Yoruba" class="interlanguage-link-target"><span>Yorùbá</span></a></li><li class="interlanguage-link interwiki-zgh mw-list-item"><a href="https://zgh.wikipedia.org/wiki/%E2%B4%B0%E2%B5%8E%E2%B4%B9%E2%B4%B0%E2%B5%8F" title="ⴰⵎⴹⴰⵏ – Standard Moroccan Tamazight" lang="zgh" hreflang="zgh" data-title="ⴰⵎⴹⴰⵏ" data-language-autonym="ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ" data-language-local-name="Standard Moroccan 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/%E6%95%B0" title="数 – Chinese" lang="zh" hreflang="zh" data-title="数" data-language-autonym="中文" data-language-local-name="Chinese" 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/%E6%95%B8" title="數 – Literary Chinese" lang="lzh" hreflang="lzh" data-title="數" data-language-autonym="文言" data-language-local-name="Literary Chinese" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/S%C3%B2%CD%98-ba%CC%8Dk" title="Sò͘-ba̍k – Minnan" lang="nan" hreflang="nan" data-title="Sò͘-ba̍k" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Minnan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E6%95%B8" title="數 – Cantonese" lang="yue" hreflang="yue" data-title="數" data-language-autonym="粵語" data-language-local-name="Cantonese" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-zu mw-list-item"><a href="https://zu.wikipedia.org/wiki/Inombolo" title="Inombolo – Zulu" lang="zu" hreflang="zu" data-title="Inombolo" data-language-autonym="IsiZulu" data-language-local-name="Zulu" class="interlanguage-link-target"><span>IsiZulu</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q11563#sitelinks-wikipedia" title="Baguhin ang link sa ibang wika" class="wbc-editpage">baguhin ang mga link</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="Namespace"> <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/Bilang" title="Tingnan ang nilalaman [c]" accesskey="c"><span>Artikulo</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Usapan:Bilang" rel="discussion" title="Usapan tungkol sa nilalaman nito [t]" accesskey="t"><span>Usapan</span></a></li> </ul> </div> </div> <div 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[j]" accesskey="j"><span>Mga nakaturo rito</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Natatangi:Nakakawing_ng_kamakailang_pagbabago/Bilang" rel="nofollow" title="Mga huling binago sa mga kaugnay na pahina mula sa pahinang ito [k]" accesskey="k"><span>Kaugnay na pagbabago</span></a></li><li id="t-upload" class="mw-list-item"><a href="//commons.wikimedia.org/wiki/Special:UploadWizard?uselang=tl" title="Magkarga ng mga larawan o iba pang midya [u]" accesskey="u"><span>Mag-upload ng file</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Bilang&oldid=2038608" title="Ibigay ang palagiang kawing para sa kasalukuyang bersyon ng pahinang ito"><span>Permanenteng link</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Bilang&action=info" title="More information about this page"><span>Impormasyon ng pahina</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Natatangi:Sipiin&page=Bilang&id=2038608&wpFormIdentifier=titleform" title="Impormasyon sa pagsangguni sa pahinang ito"><span>Sumangguni</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Natatangi:UrlShortener&url=https%3A%2F%2Ftl.wikipedia.org%2Fwiki%2FBilang"><span>Kumuha ng pinaikling URL</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Natatangi:QrCode&url=https%3A%2F%2Ftl.wikipedia.org%2Fwiki%2FBilang"><span>I-download ang QR code</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> I-print/I-export </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Natatangi:Aklat&bookcmd=book_creator&referer=Bilang"><span>Lumikha ng isang aklat</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Natatangi:DownloadAsPdf&page=Bilang&action=show-download-screen"><span>I-download bilang PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Bilang&printable=yes" title="Ipakita ang bersyon ng pahinang itong madaling maililimbag [p]" accesskey="p"><span>Bersyong mapi-print</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> Sa iba pang proyekto </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Numbers" hreflang="en"><span>Wikimedia Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q11563" title="Link sa nakakonektang item sa repositoryo ng datos [g]" accesskey="g"><span>Item na Wikidata</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Itsura"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Itsura</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">ilipat sa gilid</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">itago</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Mula sa Wikipedia, ang malayang ensiklopedya</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="tl" dir="ltr"><style data-mw-deduplicate="TemplateStyles:r2151589">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{.mw-parser-output .ns-0 .hatnote{display:none}}</style><div role="note" class="hatnote navigation-not-searchable">Para sa ibang kagamitan, tingnan ang <a href="/w/index.php?title=Bilang_(disambiguation)&action=edit&redlink=1" class="new" title="Bilang (disambiguation) (hindi pa naisusulat)">Bilang (disambiguation)</a>.</div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2151589" /><div role="note" class="hatnote navigation-not-searchable">Para aklat ng Bibliya, tingnan ang <a href="/wiki/Mga_Bilang" class="mw-redirect" title="Mga Bilang">Mga Bilang</a>.</div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Talaksan:Number.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/ce/Number.svg/240px-Number.svg.png" decoding="async" width="240" height="133" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/ce/Number.svg/360px-Number.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/ce/Number.svg/480px-Number.svg.png 2x" data-file-width="45" data-file-height="25" /></a><figcaption>Mula sa kaliwa: ang mga bilang na <i>isa</i>, <i>dalawa</i>, at <i>tatlo</i> na kinakatawan ng mga <a href="/wiki/Pamilang" class="mw-disambig" title="Pamilang">pamilang</a> na <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 1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/92d98b82a3778f043108d4e20960a9193df57cbf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.162ex; height:2.176ex;" alt="{\displaystyle 1}" /></span> <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 2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/901fc910c19990d0dbaaefe4726ceb1a4e217a0f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.162ex; height:2.176ex;" alt="{\displaystyle 2}" /></span> at <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 3}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/991e33c6e207b12546f15bdfee8b5726eafbbb2f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.162ex; height:2.176ex;" alt="{\displaystyle 3}" /></span>.</figcaption></figure> <p>Ang <b>bilang</b><sup id="cite_ref-JETE_1-0" class="reference"><a href="#cite_note-JETE-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> o <b>numero</b><sup id="cite_ref-JETE_1-1" class="reference"><a href="#cite_note-JETE-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> ay isang bagay na pang-<a href="/wiki/Matematika" title="Matematika">matematika</a> na ginagamit sa <a href="/w/index.php?title=Pagbilang&action=edit&redlink=1" class="new" title="Pagbilang (hindi pa naisusulat)">pagbilang</a> at <a href="/wiki/Pagsukat" class="mw-redirect" title="Pagsukat">pagsukat</a>. Tinatawag na <a href="/wiki/Pamilang" class="mw-disambig" title="Pamilang">pamilang</a><sup id="cite_ref-JETE_1-2" class="reference"><a href="#cite_note-JETE-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> o <a href="/wiki/Pambilang" class="mw-redirect mw-disambig" title="Pambilang">pambilang</a><sup id="cite_ref-JETE_1-3" class="reference"><a href="#cite_note-JETE-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> (mga <a href="/wiki/Numeral" class="mw-redirect mw-disambig" title="Numeral">numeral</a><sup id="cite_ref-Gaboy_2-0" class="reference"><a href="#cite_note-Gaboy-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup>) ang isang simbolong pang-notasyon na kinakatawan ang isang bilang, ngunit ginagamit para sa parehong basal at ang simbolo, gayon din ang para sa salita sa bilang, ang karaniwang gamit ng salitang bilang. Karagdagan pa sa kanilang gamit sa pagbibilang at pagsusukat, kadalasang ginagamit ang mga pamilang sa pagtatak (mga <a href="/wiki/Numero_ng_telepono" class="mw-redirect" title="Numero ng telepono">numero ng telepono</a>), para sa pagkakasunud-sunod (mga numerong seryal), at para sa mga kodigo (mga <a href="/wiki/ISBN" class="mw-redirect" title="ISBN">ISBN</a>). Sa matematika, napalawak ang kahulugan ng bilang sa paglipas ng taon upang isama ang mga bilang tulad ng <a href="/wiki/0_(bilang)" title="0 (bilang)">sero</a>, negatibong bilang, mga makakatuwirang bilang (mga <i>rational number</i>), hindi makatuwirang bilang (mga <i>irrational number</i>), at mga masasalimuot na mga bilang (mga <i>complex number</i>). </p><p>Tinatawag na <a href="/wiki/Operasyon_(matematika)" title="Operasyon (matematika)">operasyon</a> sa bilang ang ilang mga kaparaanan na pinapasok ang isa o higit pa na mga bilang at nilalabas ang isang bilang. Pinapasok at nilalabas ang unaryang operasyon sa nag-iisang bilang. Halimbawa, dinadagdag ng kahaliling operasyon sa isang buumbilang (<i>integer</i>): ang susunod sa <a href="/wiki/4_(bilang)" title="4 (bilang)">4</a> ay <a href="/wiki/5_(bilang)" title="5 (bilang)">5</a>. Mas karaniwan ang mga operasyong binaryo na pinapasok ang dalawang bilang at ilalabas ang nag-iisang bilang. Kabilang sa halimbawa ng mga binaryong operasyon ang <a href="/wiki/Pagdaragdag" title="Pagdaragdag">pagdaragdag</a>, <a href="/wiki/Pagbabawas" title="Pagbabawas">pagbabawas</a>, <a href="/wiki/Pagpaparami" title="Pagpaparami">pagpaparami</a>, <a href="/wiki/Paghahati" title="Paghahati">paghahati</a>, at potensyasyon (<i>exponentiation</i>). Tinatawag na <a href="/wiki/Aritmetika" title="Aritmetika">aritmetika</a> ang pag-aaral sa mga operasyon sa bilang. </p><p>Tinatawag na masalimuot na <a href="/wiki/Alhebra" title="Alhebra">alhebra</a> (<i>abstract mathematics</i>) ang sangay ng matematika na pinag-aaralan ang mga istruktura sa mga sistema ng bilang tulad ng mga paksang tungkol sa mga pangkat (<i>group</i>), mga singsing (<i>rings</i>) at mga kuwerpo (<i>fields</i>). </p> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Talaksan:Sdk_intro.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b3/Sdk_intro.gif/230px-Sdk_intro.gif" decoding="async" width="230" height="230" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/b/b3/Sdk_intro.gif 1.5x" data-file-width="251" data-file-height="251" /></a><figcaption>Kahong kakikitaan ng iba pang mga bilang, bukod pa sa <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 1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/92d98b82a3778f043108d4e20960a9193df57cbf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.162ex; height:2.176ex;" alt="{\displaystyle 1}" /></span>, <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 2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/901fc910c19990d0dbaaefe4726ceb1a4e217a0f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.162ex; height:2.176ex;" alt="{\displaystyle 2}" /></span>, at <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 3}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/991e33c6e207b12546f15bdfee8b5726eafbbb2f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.162ex; height:2.176ex;" alt="{\displaystyle 3}" /></span>.</figcaption></figure> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Ang_Mag-aanak_na_bilang">Ang Mag-aanak na bilang</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Bilang&veaction=edit&section=1" title="Baguhin seksiyon: Ang Mag-aanak na bilang" class="mw-editsection-visualeditor"><span>baguhin</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Bilang&action=edit&section=1" title="Edit section's source code: Ang Mag-aanak na bilang"><span>baguhin ang wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <table cellspacing="0" cellpadding="0" border="0" style="" summary="Boxes and lines diagram"> <tbody><tr align="center"><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td colspan="6" rowspan="2" style="border: 2px solid black; padding: 0.2em; ;"><a href="/wiki/Masalimuot_na_bilang" class="mw-redirect" title="Masalimuot na bilang">Masalimuot na bilang</a></td></tr><tr align="center"></tr> <tr align="center"><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" style="border-right: 1px solid black;"><div style="width: 1em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2"><div style="width: 1em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td></tr><tr align="center"></tr> <tr align="center"><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; 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height: 1em;"><span style="font: 1px/1px serif;"> </span></div></td><td colspan="2" style="border-bottom: 1px solid black;"><div style="width: 2em; height: 1em;"><span style="font: 1px/1px serif;"> </span></div></td><td colspan="2" style="border-bottom: 1px solid black;"><div style="width: 2em; height: 1em;"><span style="font: 1px/1px serif;"> </span></div></td><td colspan="2" style="border-bottom: 1px solid black;"><div style="width: 2em; height: 1em;"><span style="font: 1px/1px serif;"> </span></div></td><td style="border-bottom: 1px solid black;"><div style="width: 1em; height: 1em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2"><div style="width: 1em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td></tr><tr align="center"><td style="border-right: 1px solid black;"><div style="width: 1em; height: 1em;"><span style="font: 1px/1px serif;"> </span></div></td><td><div style="width: 1em; height: 1em;"><span style="font: 1px/1px serif;"> </span></div></td><td colspan="2"><div style="width: 2em; 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height: 1em;"><span style="font: 1px/1px serif;"> </span></div></td><td style="border-right: 1px solid black;"><div style="width: 1em; height: 1em;"><span style="font: 1px/1px serif;"> </span></div></td><td><div style="width: 1em; height: 1em;"><span style="font: 1px/1px serif;"> </span></div></td><td colspan="2"><div style="width: 2em; height: 1em;"><span style="font: 1px/1px serif;"> </span></div></td><td colspan="2"><div style="width: 2em; height: 1em;"><span style="font: 1px/1px serif;"> </span></div></td><td colspan="2"><div style="width: 2em; height: 1em;"><span style="font: 1px/1px serif;"> </span></div></td><td style="border-right: 1px solid black;"><div style="width: 1em; height: 1em;"><span style="font: 1px/1px serif;"> </span></div></td></tr> <tr align="center"><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td colspan="6" rowspan="2" style="border: 2px solid black; padding: 0.2em; ;"><a href="/w/index.php?title=Kakaibang_bilang&action=edit&redlink=1" class="new" title="Kakaibang bilang (hindi pa naisusulat)">Kakaibang bilang</a></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td colspan="6" rowspan="2" style="border: 2px solid black; padding: 0.2em; ;"><a href="/w/index.php?title=Kahit_na_bilang&action=edit&redlink=1" class="new" title="Kahit na bilang (hindi pa naisusulat)">Kahit na bilang</a></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td colspan="6" rowspan="2" style="border: 2px solid black; padding: 0.2em; ;"><a href="/wiki/Pangunahing_bilang" title="Pangunahing bilang">Pangunahing bilang</a></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td rowspan="2" colspan="2"><div style="width: 2em; height: 2em;"><span style="font: 1px/1px serif;"> </span></div></td><td colspan="6" rowspan="2" style="border: 2px solid black; padding: 0.2em; ;"><a href="/w/index.php?title=Kompositong_bilang&action=edit&redlink=1" class="new" title="Kompositong bilang (hindi pa naisusulat)">Kompositong bilang</a></td></tr><tr align="center"></tr> </tbody></table> <div class="mw-heading mw-heading2"><h2 id="Mga_uri_ng_bilang">Mga uri ng bilang</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Bilang&veaction=edit&section=2" title="Baguhin seksiyon: Mga uri ng bilang" class="mw-editsection-visualeditor"><span>baguhin</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Bilang&action=edit&section=2" title="Edit section's source code: Mga uri ng bilang"><span>baguhin ang wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Maraming mga uri ng bilang. Kabilang sa mga ito ang mga <b>bilang na pambilang</b> o mga <b>likas na bilang</b>, mga <b>buumbilang</b> o <b>pambuong numero</b> (mga <i>integer</i>, positibo at negatibong mga bilang)<sup id="cite_ref-Gaboy_2-1" class="reference"><a href="#cite_note-Gaboy-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup>, <b>makakatuwirang mga bilang</b>, <b>hindi-makakatuwirang mga bilang</b>, <b>totoong mga bilang</b>, <b>hindi totoong mga bilang</b>, at <b>masasalimuot na mga bilang</b>. Mahalaga ang lahat ng mga ito para sa mga matematiko at iba pang mga taong gumagamit ng bilang sa kanilang mga gawain at hanap-buhay.<sup id="cite_ref-NBK_3-0" class="reference"><a href="#cite_note-NBK-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Likas_na_bilang">Likas na bilang</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Bilang&veaction=edit&section=3" title="Baguhin seksiyon: Likas na bilang" class="mw-editsection-visualeditor"><span>baguhin</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Bilang&action=edit&section=3" title="Edit section's source code: Likas na bilang"><span>baguhin ang wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><b>Likas na bilang</b>, <b>bilang na pamilang</b>, o <b>bilang na pambilang</b> (mga <i>counting number</i> o mga <i>natural number</i>) ang tawag sa mga bilang na ginagamit sa pagbibilang ng mga bagay (katulad nito: <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 1,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1</mn> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9cc5fd8163a83100c5330622e9e317fa4e872403" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.809ex; height:2.509ex;" alt="{\displaystyle 1,}" /></span> <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 2,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/993d53082bc05c266933af9a892e1ce2128547cd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.809ex; height:2.509ex;" alt="{\displaystyle 2,}" /></span> <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 3,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/16e86384bc2ac4ac6c2a68904ba067110f0876bd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.809ex; height:2.509ex;" alt="{\displaystyle 3,}" /></span> <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 4,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>4</mn> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 4,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c6dc0881187d7c549d76cf6e7274b30039a73853" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.809ex; height:2.509ex;" alt="{\displaystyle 4,}" /></span> <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 5,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>5</mn> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 5,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1b13068804ccdd036a5e780d3848bf98ed516a4d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.809ex; height:2.509ex;" alt="{\displaystyle 5,}" /></span> <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 6,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>6</mn> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 6,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/90619051dad04a036539bb64306c01dca48840d2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.809ex; height:2.509ex;" alt="{\displaystyle 6,}" /></span> <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 7,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>7</mn> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 7,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a1341efd8b44bd78556844e2ad48200b6da40db0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.809ex; height:2.509ex;" alt="{\displaystyle 7,}" /></span> <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 8,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>8</mn> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 8,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2d7472925e3242f7b5985023e66c980c7c722645" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.809ex; height:2.509ex;" alt="{\displaystyle 8,}" /></span> <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 9,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>9</mn> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 9,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ca9a0da884baeeb0249b1efb4a11810d5a3f5553" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.809ex; height:2.509ex;" alt="{\displaystyle 9,}" /></span> at iba pa).<sup id="cite_ref-NBK_3-1" class="reference"><a href="#cite_note-NBK-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Buumbilang">Buumbilang</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Bilang&veaction=edit&section=4" title="Baguhin seksiyon: Buumbilang" class="mw-editsection-visualeditor"><span>baguhin</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Bilang&action=edit&section=4" title="Edit section's source code: Buumbilang"><span>baguhin ang wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Buumbilang" title="Buumbilang">Buumbilang</a>, <a href="/w/index.php?title=Pambuong_bilang&action=edit&redlink=1" class="new" title="Pambuong bilang (hindi pa naisusulat)">pambuong bilang</a>, o <a href="/w/index.php?title=Pambuong_numero&action=edit&redlink=1" class="new" title="Pambuong numero (hindi pa naisusulat)">pambuong numero</a> (mga <i><a href="/wiki/Integer" class="mw-redirect" title="Integer">integer</a></i>) ang tawag sa mga bilang na nasa kaliwa at kanan (maaari ring nasa ibaba at itaas ang mga bilang) ng isang talasukatan o iskala (<a href="/wiki/Guhit_ng_bilang" title="Guhit ng bilang">guhit ng bilang</a> o <i><a href="/w/index.php?title=Number_line&action=edit&redlink=1" class="new" title="Number line (hindi pa naisusulat)">number line</a></i>) na ang pinakagitna ay ang bilang na <a href="/wiki/Sero" class="mw-redirect" title="Sero">sero</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 0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2aae8864a3c1fec9585261791a809ddec1489950" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.162ex; height:2.176ex;" alt="{\displaystyle 0}" /></span>), katulad ng: <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 -5,-4,-3,-2,-1,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>−<!-- − --></mo> <mn>5</mn> <mo>,</mo> <mo>−<!-- − --></mo> <mn>4</mn> <mo>,</mo> <mo>−<!-- − --></mo> <mn>3</mn> <mo>,</mo> <mo>−<!-- − --></mo> <mn>2</mn> <mo>,</mo> <mo>−<!-- − --></mo> <mn>1</mn> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle -5,-4,-3,-2,-1,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/95e3eb066c7ca673f40f752cb64d60a02b08014c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:19.636ex; height:2.509ex;" alt="{\displaystyle -5,-4,-3,-2,-1,}" /></span> <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,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>0</mn> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 0,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/95547343453ea34a314dd174f8458012f5a39ca3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.809ex; height:2.509ex;" alt="{\displaystyle 0,}" /></span> <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 +1,+2,+3,+4,+5}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mo>+</mo> <mn>2</mn> <mo>,</mo> <mo>+</mo> <mn>3</mn> <mo>,</mo> <mo>+</mo> <mn>4</mn> <mo>,</mo> <mo>+</mo> <mn>5</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle +1,+2,+3,+4,+5}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/20135b27417972058d21e39628009643b61062a4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:18.989ex; height:2.509ex;" alt="{\displaystyle +1,+2,+3,+4,+5}" /></span>. May dalawang uri ng mga buumbilang: ang mga <b>pasulong</b> o <b>positibo</b> at ang mga <b>pasalungat</b> o <b>negatibo</b>. Hindi positibo o negatibo ang sero, ngunit ang lahat ng mga bilang na positibo at negatibo, <i>pati</i> na ang sero, <i>ay</i> mga buumbilang na lahat. Nilalagyan ng pananda o bantas na "<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 +}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>+</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle +}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fe6ef363cd19902d1a7a71fb1c8b21e8ede52406" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle +}" /></span>" ang pasulong na mga bilang ngunit karaniwang tinatanggal upang katawanin ang mga pasulong na bilang (katulad ng <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 +1,+2,+3,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mo>+</mo> <mn>2</mn> <mo>,</mo> <mo>+</mo> <mn>3</mn> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle +1,+2,+3,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fc86d9de86655bc8d55417e750e8ef1cd8890d4c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:11.626ex; height:2.509ex;" alt="{\displaystyle +1,+2,+3,}" /></span> at iba pa), samantalang binibigyan naman ng sagisag na "<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 -}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>−<!-- − --></mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle -}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/04bd52ce670743d3b61bec928a7ec9f47309eb36" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.808ex; height:2.176ex;" alt="{\displaystyle -}" /></span>" ang mga pasalungat na bilang (katulad ng <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 -3,-2,-1,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>−<!-- − --></mo> <mn>3</mn> <mo>,</mo> <mo>−<!-- − --></mo> <mn>2</mn> <mo>,</mo> <mo>−<!-- − --></mo> <mn>1</mn> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle -3,-2,-1,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6dd641658904b0824a8bf9e2349adf575277b04d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:11.626ex; height:2.509ex;" alt="{\displaystyle -3,-2,-1,}" /></span> at iba pa).<sup id="cite_ref-NBK_3-2" class="reference"><a href="#cite_note-NBK-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p> <figure class="mw-halign-center" typeof="mw:File"><a href="/wiki/Talaksan:NumberLineIntegers.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/ae/NumberLineIntegers.svg/500px-NumberLineIntegers.svg.png" decoding="async" width="500" height="63" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/ae/NumberLineIntegers.svg/750px-NumberLineIntegers.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/ae/NumberLineIntegers.svg/1000px-NumberLineIntegers.svg.png 2x" data-file-width="400" data-file-height="50" /></a><figcaption></figcaption></figure> <div class="mw-heading mw-heading3"><h3 id="Makatuwirang_bilang">Makatuwirang bilang</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Bilang&veaction=edit&section=5" title="Baguhin seksiyon: Makatuwirang bilang" class="mw-editsection-visualeditor"><span>baguhin</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Bilang&action=edit&section=5" title="Edit section's source code: Makatuwirang bilang"><span>baguhin ang wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Ang isang <a href="/wiki/Makatuwirang_bilang" class="mw-redirect" title="Makatuwirang bilang">makatuwirang bilang</a> o <a href="/wiki/Numerong_rasyonal" class="mw-redirect" title="Numerong rasyonal">numerong rasyonal</a> ay isang bilang na maipamamalas o maihahayag bilang isang <a href="/wiki/Hatimbilang" title="Hatimbilang">hatimbilang</a> o <a href="/w/index.php?title=Bahaging-bilang&action=edit&redlink=1" class="new" title="Bahaging-bilang (hindi pa naisusulat)">bahaging-bilang</a> <a href="/wiki/Praksiyon" class="mw-redirect" title="Praksiyon">praksiyon</a> o <i><a href="/wiki/Fraction" class="mw-redirect" title="Fraction">fraction</a></i> na may <a href="/wiki/Panakda" class="mw-redirect" title="Panakda">panakda</a> o <a href="/wiki/Numerador" class="mw-redirect" title="Numerador">numerador</a> (<i><a href="/w/index.php?title=Numerator&action=edit&redlink=1" class="new" title="Numerator (hindi pa naisusulat)">numerator</a></i>) ng buumbilang at isang <a href="/w/index.php?title=Numerong-pamahagi&action=edit&redlink=1" class="new" title="Numerong-pamahagi (hindi pa naisusulat)">numerong-pamahagi</a> o <a href="/wiki/Denominador" class="mw-redirect" title="Denominador">denominador</a> (<i><a href="/w/index.php?title=Denominator&action=edit&redlink=1" class="new" title="Denominator (hindi pa naisusulat)">denominator</a></i>) ng hindi-serong likas na bilang. </p><p>Ang bahaging-bilang na <i>m</i>/<i>n</i> o: </p> <dl><dd><dl><dd><dl><dd><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 m \over n\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> </mstyle> <mrow> <mi>n</mi> <mspace width="thinmathspace"></mspace> </mrow> </mfrac> </mrow> <annotation encoding="application/x-tex">{\displaystyle m \over n\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/23cfcf5ae2045550ad27ede3ce0607ea03e2262a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:2.877ex; height:4.676ex;" alt="{\displaystyle m \over n\,}" /></span></dd></dl></dd></dl></dd></dl></dd></dl> <p>ay kumakatawan sa <i>m</i> magkakapantay na mga bahagi, kung saan ang <i>n</i> magkakapantay na mga bahagi ng sukat na ito ang bumubuo sa isang kabuoan. Ang dalawang magkaibang mga bahaging-bilang ay maaaring umayon sa katulad na makatuwirang bilang; halimbawa na ang <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 1/2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1/2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e308a3a46b7fdce07cc09dcab9e8d8f73e37d935" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.487ex; height:2.843ex;" alt="{\displaystyle 1/2}" /></span> at <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 2/4}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>4</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2/4}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2f54da79d6ee385965e449aabe73ec31b0dd35e5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.487ex; height:2.843ex;" alt="{\displaystyle 2/4}" /></span> ay magkatumbas, kaya't kung gayon ay: </p> <dl><dd><dl><dd><dl><dd><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 {1 \over 2}={2 \over 4}\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>2</mn> <mn>4</mn> </mfrac> </mrow> <mspace width="thinmathspace"></mspace> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {1 \over 2}={2 \over 4}\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c10adf9086843e5c2ea4f44336e55adf10a7b5ae" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:7.483ex; height:5.176ex;" alt="{\displaystyle {1 \over 2}={2 \over 4}\,}" /></span></dd></dl></dd></dl></dd></dl></dd></dl> <p>Kung ang <a href="/wiki/Ganap_na_halaga" title="Ganap na halaga">ganap na halaga</a> o <a href="/w/index.php?title=Lubos_na_halaga&action=edit&redlink=1" class="new" title="Lubos na halaga (hindi pa naisusulat)">lubos na halaga</a> (<a href="/w/index.php?title=Absolutong_halaga&action=edit&redlink=1" class="new" title="Absolutong halaga (hindi pa naisusulat)">absolutong halaga</a> o <i><a href="/w/index.php?title=Absolute_value&action=edit&redlink=1" class="new" title="Absolute value (hindi pa naisusulat)">absolute value</a></i>) ng <i>m</i> ay mas mahigit kaysa <i>n</i>, kung gayon ang ganap na halaga ng bahaging-bilang ay mas malaki kaysa 1. Maaaring mas mataas (mas mahigit), mas mababa, o katumbas ng <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 1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/92d98b82a3778f043108d4e20960a9193df57cbf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.162ex; height:2.176ex;" alt="{\displaystyle 1}" /></span> ang mga hatimbilang at maaari ring maging pasulong (positibo), pasalungat (negatibo), o sero (wala). Kabilang sa pangkat o set ng lahat ng makakatuwirang mga bilang ang mga buumbilang, dahil bawat buumbilang o <i>integer</i> ay maaaring maisulat bilang isang hatimbilang na may numerong-pamahagi o denominador. Bilang halimbawa, maisusulat ang −7 sa anyong  – <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 7/1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>7</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 7/1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c163e04679c452694319d5c68359d00b1add0299" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.487ex; height:2.843ex;" alt="{\displaystyle 7/1}" /></span>. "<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 Q}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>Q</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Q}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8752c7023b4b3286800fe3238271bbca681219ed" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.838ex; height:2.509ex;" alt="{\displaystyle Q}" /></span>" (para sa <a href="/w/index.php?title=Kinahatian&action=edit&redlink=1" class="new" title="Kinahatian (hindi pa naisusulat)">kinahatian</a>, <a href="/w/index.php?title=Kusyente&action=edit&redlink=1" class="new" title="Kusyente (hindi pa naisusulat)">kusyente</a>, o <i><a href="/w/index.php?title=Quotient&action=edit&redlink=1" class="new" title="Quotient (hindi pa naisusulat)">quotient</a></i>) ang sagisag para sa makakatuwirang mga bilang, na maisusulat din sa ganitong paraan: <a href="/w/index.php?title=Blackboard_bold&action=edit&redlink=1" class="new" title="Blackboard bold (hindi pa naisusulat)"><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"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">Q</mi> </mrow> </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/c5909f0b54e4718fa24d5fd34d54189d24a66e9a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.808ex; height:2.509ex;" alt="{\displaystyle \mathbb {Q} }" /></span>.</a> Maikakatawan din ang makakatuwirang mga bilang sa hanay ng isang guhit o linya ng bilang.<sup id="cite_ref-NBK_3-3" class="reference"><a href="#cite_note-NBK-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Hindi_makatuwirang_bilang">Hindi makatuwirang bilang</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Bilang&veaction=edit&section=6" title="Baguhin seksiyon: Hindi makatuwirang bilang" class="mw-editsection-visualeditor"><span>baguhin</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Bilang&action=edit&section=6" title="Edit section's source code: Hindi makatuwirang bilang"><span>baguhin ang wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Ang <a href="/w/index.php?title=Hindi_makatuwirang_mga_bilang&action=edit&redlink=1" class="new" title="Hindi makatuwirang mga bilang (hindi pa naisusulat)">hindi makatuwirang mga bilang</a> o <a href="/w/index.php?title=Mga_numerong_irasyonal&action=edit&redlink=1" class="new" title="Mga numerong irasyonal (hindi pa naisusulat)">mga numerong irasyonal</a> ay ang mga bilang na hindi maipahayag bilang mga <a href="/w/index.php?title=Pamahaging_bilang&action=edit&redlink=1" class="new" title="Pamahaging bilang (hindi pa naisusulat)">pamahaging bilang</a> o kusyente.<sup id="cite_ref-NBK_3-4" class="reference"><a href="#cite_note-NBK-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> Ito rin ang anumang mga bilang na hindi makatuwirang bilang, o mga bilang na hindi maipamamalas bilang mga <a href="/wiki/Hatimbilang" title="Hatimbilang">hatimbilang</a> na <i>m</i>/<i>n</i>, kung saan ang <i>m</i> at <i>n</i> ay mga buumbilang, at hindi sero ang <i>n</i>. Sa hindi pormal na paglalarawan, nangangahulugang mga bilang ito hindi maipapahayag bilang payak na mga hatimbilang. Maiaakmang hindi rin sila maipapahayag bilang mga nagtatapos (nagwawakas) o umuulit na mga <a href="/w/index.php?title=Desimal&action=edit&redlink=1" class="new" title="Desimal (hindi pa naisusulat)">desimal</a>, subalit mas marubdob o ganap ang diwa kaysa riyan. Bilang kinalabasan ng katibayan ni <a href="/wiki/Georg_Cantor" title="Georg Cantor">Georg Cantor</a> na hindi mabibilang ang <a href="/w/index.php?title=Tunay_na_mga_bilang&action=edit&redlink=1" class="new" title="Tunay na mga bilang (hindi pa naisusulat)">tunay na mga bilang</a> (at mabibilang ang mga makakatuwirang bilang) sinusundan nito na halos lahat ng tunay na mga bilang ay makakatuwirang mga bilang.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> Marahil, ang pinakakilalang makakatuwirang mga bilang ay ang <a href="/wiki/%CE%A0" class="mw-redirect" title="Π">π</a>, <a href="/w/index.php?title=E_(mathematical_constant)&action=edit&redlink=1" class="new" title="E (mathematical constant) (hindi pa naisusulat)">e</a>, at <a href="/w/index.php?title=Square_root_of_2&action=edit&redlink=1" class="new" title="Square root of 2 (hindi pa naisusulat)">√2</a>.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> Katulad ng makakatuwirang mga bilang, maikakatawan din ang hindi makakatuwirang mga bilang sa hanay ng isang linya ng bilang o talasukatan.<sup id="cite_ref-NBK_3-5" class="reference"><a href="#cite_note-NBK-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Totoong_bilang">Totoong bilang</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Bilang&veaction=edit&section=7" title="Baguhin seksiyon: Totoong bilang" class="mw-editsection-visualeditor"><span>baguhin</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Bilang&action=edit&section=7" title="Edit section's source code: Totoong bilang"><span>baguhin ang wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Ang <a href="/wiki/Totoong_bilang" class="mw-redirect" title="Totoong bilang">totoong bilang</a> o <a href="/wiki/Tunay_na_numero" class="mw-redirect" title="Tunay na numero">tunay na numero</a> (<i><a href="/wiki/Real_number" class="mw-redirect" title="Real number">real number</a></i>) ay ang anumang bilang na maitutugma sa isang puwesto, posisyon, o punto sa ibabaw ng isang guhit ng bilang. Kabilang sa mga ito ang mga bilang na makatuwiran at hindi makakatuwirang mga bilang.<sup id="cite_ref-NBK_3-6" class="reference"><a href="#cite_note-NBK-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Hindi_totoong_bilang">Hindi totoong bilang</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Bilang&veaction=edit&section=8" title="Baguhin seksiyon: Hindi totoong bilang" class="mw-editsection-visualeditor"><span>baguhin</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Bilang&action=edit&section=8" title="Edit section's source code: Hindi totoong bilang"><span>baguhin ang wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Ang <a href="/w/index.php?title=Hindi_totoong_bilang&action=edit&redlink=1" class="new" title="Hindi totoong bilang (hindi pa naisusulat)">hindi totoong bilang</a> o <a href="/w/index.php?title=Numerong_imahinaryo&action=edit&redlink=1" class="new" title="Numerong imahinaryo (hindi pa naisusulat)">numerong imahinaryo</a> (<i><a href="/w/index.php?title=Imaginary_number&action=edit&redlink=1" class="new" title="Imaginary number (hindi pa naisusulat)">imaginary number</a></i>) ay ang <a href="/w/index.php?title=Parisukat_na_ugat&action=edit&redlink=1" class="new" title="Parisukat na ugat (hindi pa naisusulat)">parisukat na ugat</a> (<i><a href="/wiki/Square_root" class="mw-redirect" title="Square root">square root</a></i>) ng isang pasalungat o negatibong bilang.<sup id="cite_ref-NBK_3-7" class="reference"><a href="#cite_note-NBK-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Masalimuot_na_bilang">Masalimuot na bilang</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Bilang&veaction=edit&section=9" title="Baguhin seksiyon: Masalimuot na bilang" class="mw-editsection-visualeditor"><span>baguhin</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Bilang&action=edit&section=9" title="Edit section's source code: Masalimuot na bilang"><span>baguhin ang wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Ang <a href="/wiki/Masasalimuot_na_mga_bilang" class="mw-redirect" title="Masasalimuot na mga bilang">masasalimuot na mga bilang</a> (mga <i><a href="/wiki/Complex_number" class="mw-redirect" title="Complex number">complex number</a></i>) ay mga bilang na may dalawang bahagi: ang <i>totoo</i> o <i>tunay</i> na bahagi at ang <i>hindi totoo</i>, <i>hindi tunay</i>, o <i>imahinaryong</i> bahagi. Isa ring masalimuot na bilang ang bawat uri ng bilang na nakasulat sa itaas. Mas isang panglahat o heneral na anyo ng mga bilang ang masasalimuot na mga bilang. Maaaring lutasin ang bawat ekwasyon sa pamamagitan ng pagagamit lamang ng masasalimuot na mga bilang. Maaaring iguhit o ilarawan sa ibabaw ng isang <a href="/wiki/Talangguhit" class="mw-redirect" title="Talangguhit">talangguhit</a> o <i>diagram</i> ang ganitong mga bilang (katulad ng nasa lapya o <i>plane</i> na nakalarawan sa ibaba),<sup id="cite_ref-NBK_3-8" class="reference"><a href="#cite_note-NBK-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> na binubuo ng isang totoong guhit o linya ng bilang at ng isang hindi totoong guhit ng bilang. </p> <pre> 3i|_ | | 2i|_ . 2+2i | | i|_ | | |_____|_____|_____|_____|_____|_____|_____|_____| -2 -1 0 1 2 3 4 5 6 | -i|_ .3-i | | .-2-2i -2i|_ | | -3i|_ | </pre> <p>Bawat posisyon, puwesto, o puntong nasa talangguhit sa itaas ay kumakatawan sa kabuoan ng isang tunay na bilang at isang hindi tunay na bilang. Ginagamit ang mga bilang na ito sa paglutas ng masaligutgot o kumplikadong mga suliranin o problema hinggil sa <a href="/wiki/Elektrisidad" title="Elektrisidad">elektrisidad</a> o paglipad sa kalawakan.<sup id="cite_ref-NBK_3-9" class="reference"><a href="#cite_note-NBK-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p><p>Magagawa ang lahat ng karaniwan o normal na matematika na may mga bilang na masasalimuot: </p> <ul><li>Upang mapagsama o sumahin (<a href="/wiki/Adisyon" class="mw-redirect" title="Adisyon">adisyon</a>) ang dalawang masasalimuot na mga bilang, magkahiwalay na pinagsasama-sama ang tunay at hindi tunay na mga bahagi. Halimbawa na ang <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 (2+3i)+(3+2i)=(2+3)+(3+2)i=5+5i}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mn>2</mn> <mo>+</mo> <mn>3</mn> <mi>i</mi> <mo stretchy="false">)</mo> <mo>+</mo> <mo stretchy="false">(</mo> <mn>3</mn> <mo>+</mo> <mn>2</mn> <mi>i</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mo stretchy="false">(</mo> <mn>2</mn> <mo>+</mo> <mn>3</mn> <mo stretchy="false">)</mo> <mo>+</mo> <mo stretchy="false">(</mo> <mn>3</mn> <mo>+</mo> <mn>2</mn> <mo stretchy="false">)</mo> <mi>i</mi> <mo>=</mo> <mn>5</mn> <mo>+</mo> <mn>5</mn> <mi>i</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (2+3i)+(3+2i)=(2+3)+(3+2)i=5+5i}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cc4f7bf413c956a1a4f4a76059ecf11348a4bc34" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:48.151ex; height:2.843ex;" alt="{\displaystyle (2+3i)+(3+2i)=(2+3)+(3+2)i=5+5i}" /></span>.</li> <li>Upang maibawas (<a href="/wiki/Subtraksiyon" class="mw-redirect" title="Subtraksiyon">subtraksiyon</a>) ang isang isang masalimuot na bilang mula sa isa pang masalimuot na bilang, magkahiwalay na ibinabawas ang mga tunay at hindi tunay na mga bahagi. Halimbawa na ang <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 (7+5i)-(3+3i)=(7-3)+(5-3)i=4+2i}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mn>7</mn> <mo>+</mo> <mn>5</mn> <mi>i</mi> <mo stretchy="false">)</mo> <mo>−<!-- − --></mo> <mo stretchy="false">(</mo> <mn>3</mn> <mo>+</mo> <mn>3</mn> <mi>i</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mo stretchy="false">(</mo> <mn>7</mn> <mo>−<!-- − --></mo> <mn>3</mn> <mo stretchy="false">)</mo> <mo>+</mo> <mo stretchy="false">(</mo> <mn>5</mn> <mo>−<!-- − --></mo> <mn>3</mn> <mo stretchy="false">)</mo> <mi>i</mi> <mo>=</mo> <mn>4</mn> <mo>+</mo> <mn>2</mn> <mi>i</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (7+5i)-(3+3i)=(7-3)+(5-3)i=4+2i}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f1ae1cfc30a3649268c9dcd7d36863732acd82d9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:48.151ex; height:2.843ex;" alt="{\displaystyle (7+5i)-(3+3i)=(7-3)+(5-3)i=4+2i}" /></span>.</li> <li>Mahirap paramihin (<a href="/wiki/Multiplikasyon" class="mw-redirect" title="Multiplikasyon">multiplikasyon</a>) ang dalawang masasalimuot na mga bilang. Mas madaling ilarawan ito sa pamamagitan ng panglahatang gawi na ginagamit ang dalawang masasalimuot na mga bilang na <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+b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>+</mo> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a+b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a2391acf09244b9dba74eb940e871a6be7e7973a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:5.068ex; height:2.343ex;" alt="{\displaystyle a+b}" /></span><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 i}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>i</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle i}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/add78d8608ad86e54951b8c8bd6c8d8416533d20" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.802ex; height:2.176ex;" alt="{\displaystyle i}" /></span> at <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+d}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> <mo>+</mo> <mi>d</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c+d}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c20710c57192220aab5dcae40cb07d8f3e1dbe78" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:5.063ex; height:2.343ex;" alt="{\displaystyle c+d}" /></span><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 i}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>i</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle i}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/add78d8608ad86e54951b8c8bd6c8d8416533d20" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.802ex; height:2.176ex;" alt="{\displaystyle i}" /></span>.</li></ul> <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+b\mathrm {i} )\times (c+d\mathrm {i} )=a\times c+a\times d\mathrm {i} +b\mathrm {i} \times c+b\mathrm {i} \times d\mathrm {i} =ac+ad\mathrm {i} +bc\mathrm {i} -bd=(ac-bd)+(ad+bc)\mathrm {i} }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">i</mi> </mrow> <mo stretchy="false">)</mo> <mo>×<!-- × --></mo> <mo stretchy="false">(</mo> <mi>c</mi> <mo>+</mo> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">i</mi> </mrow> <mo stretchy="false">)</mo> <mo>=</mo> <mi>a</mi> <mo>×<!-- × --></mo> <mi>c</mi> <mo>+</mo> <mi>a</mi> <mo>×<!-- × --></mo> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">i</mi> </mrow> <mo>+</mo> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">i</mi> </mrow> <mo>×<!-- × --></mo> <mi>c</mi> <mo>+</mo> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">i</mi> </mrow> <mo>×<!-- × --></mo> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">i</mi> </mrow> <mo>=</mo> <mi>a</mi> <mi>c</mi> <mo>+</mo> <mi>a</mi> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">i</mi> </mrow> <mo>+</mo> <mi>b</mi> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">i</mi> </mrow> <mo>−<!-- − --></mo> <mi>b</mi> <mi>d</mi> <mo>=</mo> <mo stretchy="false">(</mo> <mi>a</mi> <mi>c</mi> <mo>−<!-- − --></mo> <mi>b</mi> <mi>d</mi> <mo stretchy="false">)</mo> <mo>+</mo> <mo stretchy="false">(</mo> <mi>a</mi> <mi>d</mi> <mo>+</mo> <mi>b</mi> <mi>c</mi> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">i</mi> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (a+b\mathrm {i} )\times (c+d\mathrm {i} )=a\times c+a\times d\mathrm {i} +b\mathrm {i} \times c+b\mathrm {i} \times d\mathrm {i} =ac+ad\mathrm {i} +bc\mathrm {i} -bd=(ac-bd)+(ad+bc)\mathrm {i} }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9d8e9f977f4d8d894ce655f06ce8a06b8e21f847" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:98.951ex; height:2.843ex;" alt="{\displaystyle (a+b\mathrm {i} )\times (c+d\mathrm {i} )=a\times c+a\times d\mathrm {i} +b\mathrm {i} \times c+b\mathrm {i} \times d\mathrm {i} =ac+ad\mathrm {i} +bc\mathrm {i} -bd=(ac-bd)+(ad+bc)\mathrm {i} }" /></span></dd></dl> <dl><dd>Halimbawa na ang: (4 + 5<b>i</b>) × (3 + 2<b>i</b>) = (4 × 3 - 5 × 2) + (4 × 2 + 5 × 3)<b>i</b> = (12 - 10) + (8 + 15)<b>i</b> = 2 + 23<b>i</b>.</dd></dl> <div class="mw-heading mw-heading3"><h3 id="Lumalampas_na_mga_bilang">Lumalampas na mga bilang</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Bilang&veaction=edit&section=10" title="Baguhin seksiyon: Lumalampas na mga bilang" class="mw-editsection-visualeditor"><span>baguhin</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Bilang&action=edit&section=10" title="Edit section's source code: Lumalampas na mga bilang"><span>baguhin ang wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Ang <a href="/w/index.php?title=Lumalampas_na_mga_bilang&action=edit&redlink=1" class="new" title="Lumalampas na mga bilang (hindi pa naisusulat)">lumalampas na mga bilang</a> o mga <a href="/w/index.php?title=Numerong_transendental&action=edit&redlink=1" class="new" title="Numerong transendental (hindi pa naisusulat)">numerong transendental</a> ay ang mga bilang na hindi kayang tuusin sa pamamagitan lamang ng nabilang na ulit ng operasyon o kumbinasyon ng mga ekwasyong nagtataglay ng <a href="/w/index.php?title=Makakatuwirang_mga_mahahalagang_koepisyente&action=edit&redlink=1" class="new" title="Makakatuwirang mga mahahalagang koepisyente (hindi pa naisusulat)">makakatuwirang mga mahahalagang koepisyente</a> (<i><a href="/w/index.php?title=Rational_integral_coefficient&action=edit&redlink=1" class="new" title="Rational integral coefficient (hindi pa naisusulat)">rational integral coefficient</a></i>). O, iyong mga bilang na hindi masasabing katumbas ng isang buumbilang o kusyente ng mga buumbilang (ayon sa paglalarawan ng mga bilang na kinabibilangan ng mga bilang na kilala sa tawag na <a href="/w/index.php?title=Hindi-umuulit_na_walang_hangganang_desimal&action=edit&redlink=1" class="new" title="Hindi-umuulit na walang hangganang desimal (hindi pa naisusulat)">hindi-umuulit na walang hangganang desimal</a> o <i><a href="/w/index.php?title=Non-repeating_infinite_decimal&action=edit&redlink=1" class="new" title="Non-repeating infinite decimal (hindi pa naisusulat)">non-repeating infinite decimal</a></i>).<sup id="cite_ref-Gaboy_2-2" class="reference"><a href="#cite_note-Gaboy-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> Samakatuwid, tinatawag na lumalampas na bilang ang isang totoo o masalimuot na bilang kung hindi ito makuha bilang isang kinalabasan o resulta ng isang <a href="/wiki/Alhebraiko" class="mw-redirect" title="Alhebraiko">alhebraikong</a> ekwasyong may mga koepisyenteng buumbilang. </p><p><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_{n}x^{n}+\dots +a_{2}x^{2}+a_{1}x+a_{0}=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msup> <mo>+</mo> <mo>⋯<!-- ⋯ --></mo> <mo>+</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mi>x</mi> <mo>+</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a_{n}x^{n}+\dots +a_{2}x^{2}+a_{1}x+a_{0}=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6502b26803dccf06a222add221849bc736817f8b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:33.908ex; height:3.009ex;" alt="{\displaystyle a_{n}x^{n}+\dots +a_{2}x^{2}+a_{1}x+a_{0}=0}" /></span> </p><p>Maaaring maging napakahirap patunayang lumalampas o transendental ang isang partikular na bilang. Bawat isang lumalampas na bilang ay isa ring hindi makatuwirang bilang. Unang natuklasan nina <a href="/wiki/Gottfried_Wilhelm_Leibniz" class="mw-redirect" title="Gottfried Wilhelm Leibniz">Gottfried Wilhelm Leibniz</a> at <a href="/wiki/Leonhard_Euler" title="Leonhard Euler">Leonhard Euler</a> ang pagkakaroon ng ganitong mga uri ng bilang. Subalit si <a href="/w/index.php?title=Joseph_Liouville&action=edit&redlink=1" class="new" title="Joseph Liouville (hindi pa naisusulat)">Joseph Liouville</a> ang unang taong nakapagpatotoong may umiiral na lumalampas na mga bilang. Nagawa niya ito noong 1844. </p><p>Naririto ang pinakakilalang lumalampas na mga bilang: </p> <ul><li><a href="/w/index.php?title=E_(mathematical_constant)&action=edit&redlink=1" class="new" title="E (mathematical constant) (hindi pa naisusulat)">e</a></li> <li><a href="/wiki/Pi" title="Pi">π</a></li> <li>e<sup>a</sup> para sa alhebraikong a <tt>≠</tt> 0</li> <li><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 2^{\sqrt {2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> </msqrt> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2^{\sqrt {2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2fe00689bdab9da3d6cd6015ca5e26c5702eaf22" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.586ex; height:3.009ex;" alt="{\displaystyle 2^{\sqrt {2}}}" /></span></li></ul> <div class="mw-heading mw-heading2"><h2 id="Sanggunian">Sanggunian</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Bilang&veaction=edit&section=11" title="Baguhin seksiyon: Sanggunian" class="mw-editsection-visualeditor"><span>baguhin</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Bilang&action=edit&section=11" title="Edit section's source code: Sanggunian"><span>baguhin ang wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Talababa">Talababa</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Bilang&veaction=edit&section=12" title="Baguhin seksiyon: Talababa" class="mw-editsection-visualeditor"><span>baguhin</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Bilang&action=edit&section=12" title="Edit section's source code: Talababa"><span>baguhin ang wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r2121818">.mw-parser-output .reflist{font-size:90%;margin-bottom:0.5em;list-style-type:decimal}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-JETE-1"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-JETE_1-0">1.0</a></sup> <sup><a href="#cite_ref-JETE_1-1">1.1</a></sup> <sup><a href="#cite_ref-JETE_1-2">1.2</a></sup> <sup><a href="#cite_ref-JETE_1-3">1.3</a></sup></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r2132731">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free a,.mw-parser-output .citation .cs1-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited a,.mw-parser-output .id-lock-registration a,.mw-parser-output .citation .cs1-lock-limited a,.mw-parser-output .citation .cs1-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription a,.mw-parser-output .citation .cs1-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#3a3;margin-left:0.3em}.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}</style><cite id="CITEREFEnglish1977" class="citation encyclopaedia cs1 cs1-prop-foreign-lang-source"><a href="/wiki/Leo_James_English" title="Leo James English">English, Leo James</a> (1977). <span class="id-lock-registration" title="Kinakailangan ng libre pagrehistro"><a rel="nofollow" class="external text" href="https://archive.org/details/tagalogenglishdi00leoj/">"Bilang, numero; pamilang, pambilang"</a></span>. <i>Tagalog-English Dictionary</i> (sa wikang Ingles). Congregation of the Most Holy Redeemer. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Natatangi:Mga_pinagmulang_aklat/9710810731" title="Natatangi:Mga pinagmulang aklat/9710810731"><bdi>9710810731</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Bilang%2C+numero%3B+pamilang%2C+pambilang&rft.btitle=Tagalog-English+Dictionary&rft.pub=Congregation+of+the+Most+Holy+Redeemer&rft.date=1977&rft.isbn=9710810731&rft.aulast=English&rft.aufirst=Leo+James&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Ftagalogenglishdi00leoj%2F&rfr_id=info%3Asid%2Ftl.wikipedia.org%3ABilang" class="Z3988"></span>, pahina 198-199, 936, at 980.</span> </li> <li id="cite_note-Gaboy-2"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-Gaboy_2-0">2.0</a></sup> <sup><a href="#cite_ref-Gaboy_2-1">2.1</a></sup> <sup><a href="#cite_ref-Gaboy_2-2">2.2</a></sup></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731" /><cite id="CITEREFGaboy,_Luciano_L." class="citation encyclopaedia cs1">Gaboy, Luciano L. <a rel="nofollow" class="external text" href="http://www.gabbydictionary.com/"><i><span></span></i>Integer<i>, buumbilang, pambuong numero, positibo, negatibo; </i>transcendental<i>, transendental, atbp. - Gabby's Dictionary: Praktikal na Talahuluganang Ingles-Filipino ni Gabby/Gabby's Practical English-Filipino Dictionary, GabbyDictionary.com</i></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Integer%2C+buumbilang%2C+pambuong+numero%2C+positibo%2C+negatibo%3B+transcendental%2C+transendental%2C+atbp.+-+Gabby%27s+Dictionary%3A+Praktikal+na+Talahuluganang+Ingles-Filipino+ni+Gabby%2FGabby%27s+Practical+English-Filipino+Dictionary%2C+GabbyDictionary.com&rft.au=Gaboy%2C+Luciano+L.&rft_id=http%3A%2F%2Fwww.gabbydictionary.com%2F&rfr_id=info%3Asid%2Ftl.wikipedia.org%3ABilang" class="Z3988"></span></span> </li> <li id="cite_note-NBK-3"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-NBK_3-0">3.00</a></sup> <sup><a href="#cite_ref-NBK_3-1">3.01</a></sup> <sup><a href="#cite_ref-NBK_3-2">3.02</a></sup> <sup><a href="#cite_ref-NBK_3-3">3.03</a></sup> <sup><a href="#cite_ref-NBK_3-4">3.04</a></sup> <sup><a href="#cite_ref-NBK_3-5">3.05</a></sup> <sup><a href="#cite_ref-NBK_3-6">3.06</a></sup> <sup><a href="#cite_ref-NBK_3-7">3.07</a></sup> <sup><a href="#cite_ref-NBK_3-8">3.08</a></sup> <sup><a href="#cite_ref-NBK_3-9">3.09</a></sup></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731" /><cite class="citation encyclopaedia cs1">"Numbers and Number Systems". <i><a href="/wiki/The_New_Book_of_Knowledge" title="The New Book of Knowledge">The New Book of Knowledge (Ang Bagong Aklat ng Kaalaman), Grolier Incorporated</a></i>. 1977.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Numbers+and+Number+Systems&rft.btitle=The+New+Book+of+Knowledge+%28Ang+Bagong+Aklat+ng+Kaalaman%29%2C+Grolier+Incorporated&rft.date=1977&rfr_id=info%3Asid%2Ftl.wikipedia.org%3ABilang" class="Z3988"></span>, pahina 384-388.</span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><a href="#cite_ref-4">↑</a></span> <span class="reference-text"><cite style="font-style:normal" id="CITEREFCantor1955,_1915">Cantor, Georg (1955, 1915). <i><a rel="nofollow" class="external text" href="http://www.archive.org/details/contributionstot003626mbp"></a></i><a rel="nofollow" class="external text" href="http://www.archive.org/details/contributionstot003626mbp">Contributions to the Founding of the Theory of Transfinite Numbers<i></i></a>. New York: Dover</cite>. <a href="/wiki/Natatangi:Mga_pinagmulang_aklat/9780486600451" class="internal mw-magiclink-isbn">ISBN 978-0-486-60045-1</a>.</span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><a href="#cite_ref-5">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://sprott.physics.wisc.edu/Pickover/trans.html"><i>The 15 Most Famous Transcendental Numbers</i></a> ni Clifford A. Pickover. URL nakuha noong 24 Oktubre 2007.</span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><a href="#cite_ref-6">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.mathsisfun.com/irrational-numbers.html"><i>MathIsFun.com</i></a><i>, URL nakuha noong 24 Oktubre 2007.</i></span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><a href="#cite_ref-7">↑</a></span> <span class="reference-text"><span class="citation mathworld" id="Reference-Mathworld-Irrational_Number"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731" /><cite id="CITEREFWeisstein" class="citation web cs1 cs1-prop-foreign-lang-source"><a href="/w/index.php?title=Eric_W._Weisstein&action=edit&redlink=1" class="new" title="Eric W. Weisstein (hindi pa naisusulat)">Weisstein, Eric W.</a> <a rel="nofollow" class="external text" href="https://mathworld.wolfram.com/IrrationalNumber.html">"Irrational Number"</a>. <i><a href="/w/index.php?title=MathWorld&action=edit&redlink=1" class="new" title="MathWorld (hindi pa naisusulat)">MathWorld</a></i> (sa wikang Ingles).</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=MathWorld&rft.atitle=Irrational+Number&rft.au=Weisstein%2C+Eric+W.&rft_id=https%3A%2F%2Fmathworld.wolfram.com%2FIrrationalNumber.html&rfr_id=info%3Asid%2Ftl.wikipedia.org%3ABilang" class="Z3988"></span></span> URL nakuha noong 26 Oktubre 2007.</span> </li> </ol></div></div> <div class="mw-heading mw-heading3"><h3 id="Talaaklatan">Talaaklatan</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Bilang&veaction=edit&section=13" title="Baguhin seksiyon: Talaaklatan" class="mw-editsection-visualeditor"><span>baguhin</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Bilang&action=edit&section=13" title="Edit section's source code: Talaaklatan"><span>baguhin ang wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Tobias Dantzig, <i>Number, the language of science; a critical survey written for the cultured non-mathematician</i>, New York, The Macmillan company, 1930.</li></ul> <div class="infobox sisterproject" style="float:right;"> <div style="float: left;"><figure class="mw-halign-none" typeof="mw:File"><a href="/wiki/Talaksan:Wiktionary-logo.svg" class="mw-file-description" title="Wiktionary"><img alt="Wiktionary" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ec/Wiktionary-logo.svg/49px-Wiktionary-logo.svg.png" decoding="async" width="49" height="46" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ec/Wiktionary-logo.svg/74px-Wiktionary-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ec/Wiktionary-logo.svg/98px-Wiktionary-logo.svg.png 2x" data-file-width="370" data-file-height="350" /></a><figcaption>Wiktionary</figcaption></figure></div> <div style="margin-left: 60px;">Tingnan ang <i><b><a href="https://en.wiktionary.org/wiki/tl:bilang" class="extiw" title="wiktionary:tl:bilang">bilang</a></b></i> sa <br /><a href="/wiki/Wiktionary" title="Wiktionary">Wiktionary</a>, ang malayang talahulugan.</div> </div> <ul><li>Erich Friedman, <i><a rel="nofollow" class="external text" href="https://www.stetson.edu/~efriedma/numbers.html">What's special about this number?</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20180223062027/http://www2.stetson.edu/~efriedma/numbers.html">Naka-arkibo</a> 2018-02-23 sa <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>.</i></li> <li>Steven Galovich, <i>Introduction to Mathematical Structures</i>, Harcourt Brace Javanovich, 23 Enero 1989, <a href="/wiki/Natatangi:Mga_pinagmulang_aklat/0155434683" class="internal mw-magiclink-isbn">ISBN 0-15-543468-3</a>.</li> <li>Paul Halmos, <i>Naive Set Theory</i>, Springer, 1974, <a href="/wiki/Natatangi:Mga_pinagmulang_aklat/0387900926" class="internal mw-magiclink-isbn">ISBN 0-387-90092-6</a>.</li> <li>Morris Kline, <i>Mathematical Thought from Ancient to Modern Times</i>, Palimbagan ng Pamantasan ng Oxford, 1972.</li> <li>Alfred North Whitehead at Bertrand Russell, <i>Principia Mathematica</i>, Palimbagan ng Pamantasan ng Cambridge, 1910.</li> <li>George I. Sanchez, <i>Arithmetic in Maya, Austin-Texas</i>, 1961.</li> <li><a rel="nofollow" class="external text" href="http://www.cut-the-knot.org/do_you_know/numbers.shtml"><i>What's a Number?</i></a> mula sa Cut-the-Knot.org</li> <li><span class="languageicon">(sa Pranses)</span> Jean-Paul G. Potet, <a rel="nofollow" class="external text" href="http://www.persee.fr/web/revues/home/prescript/article/arch_0044-8613_1992_num_44_1_2860"><i>Numeral expressions in Tagalog</i></a>. Sa Archipel, 44 (1), 1992.</li> <li><span class="languageicon">(sa Kastila)</span> T.H. Pardo de Tavera. <a rel="nofollow" class="external text" href="http://library.beau.org/gutenberg/1/5/7/5/15757/15757-h/15757-h.htm">Consideraciones sobre el origen del nombre de los números en Tagalog</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20200814232108/http://library.beau.org/gutenberg/1/5/7/5/15757/15757-h/15757-h.htm">Naka-arkibo</a> 2020-08-14 sa <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>. (T. I Camacho, P. Somoza & PG Distributed Proofreaders, Eds.). Project Gutenberg. (Ang original na gawa ay inilathala noong 1889), 2005. Cantada, R.P. (Tagasalin) <a rel="nofollow" class="external text" href="http://matangdilis.moodle4free.com/mod/resource/view.php?id=51">Salin sa Tagalog</a><sup class="noprint Inline-Template"><span title="Mukhang patay ang naunang link since Septiyembre 2021" style="white-space: nowrap;">[<a href="https://en.wikipedia.org/wiki/Wikipedia:Dead_external_links" class="extiw" title="en:Wikipedia:Dead external links">patay na link</a>]</span></sup>.</li></ul> <!-- NewPP limit report Parsed by mw‐web.codfw.main‐7b7f766dd‐q7hfj Cached time: 20250305173350 Cache expiry: 2592000 Reduced expiry: false Complications: [vary‐revision‐sha1, show‐toc] CPU time usage: 0.481 seconds Real time usage: 0.854 seconds Preprocessor visited node count: 23276/1000000 Post‐expand include size: 133603/2097152 bytes Template argument size: 73492/2097152 bytes Highest expansion depth: 11/100 Expensive parser function count: 3/500 Unstrip recursion depth: 1/20 Unstrip post‐expand size: 19235/5000000 bytes Lua time usage: 0.174/10.000 seconds Lua memory usage: 11100752/52428800 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 407.914 1 -total 30.03% 122.507 1 Padron:Reflist 27.93% 113.931 2 Padron:In_lang 24.15% 98.514 19 Padron:Familytree 21.85% 89.137 19 Padron:Familytree/step2 18.76% 76.537 3 Padron:Cite_encyclopedia 17.52% 71.458 1 Padron:Cite-JETE 8.48% 34.572 1 Padron:Otheruses 3.72% 15.173 1 Padron:MathWorld 2.07% 8.462 1 Padron:For --> <!-- Saved in parser cache with key tlwiki:pcache:76717:|#|:idhash:canonical and timestamp 20250305173350 and revision id 2038608. 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