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href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_ca.wikipedia.org&uselang=ca" class=""><span>Donatius</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=Especial:Crea_compte&returnto=Multiplicaci%C3%B3" title="Us animem a crear un compte i iniciar una sessió, encara que no és obligatori" class=""><span>Crea un compte</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=Especial:Registre_i_entrada&returnto=Multiplicaci%C3%B3" title="Us animem a registrar-vos, però no és obligatori [o]" accesskey="o" class=""><span>Inicia la sessió</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right 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href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_ca.wikipedia.org&uselang=ca"><span>Donatius</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Especial:Crea_compte&returnto=Multiplicaci%C3%B3" title="Us animem a crear un compte i iniciar una sessió, encara que no és obligatori"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Crea un compte</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Especial:Registre_i_entrada&returnto=Multiplicaci%C3%B3" title="Us animem a registrar-vos, però no és obligatori [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Inicia la sessió</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Pàgines per a editors no registrats <a href="/wiki/Ajuda:Introducci%C3%B3" aria-label="Vegeu més informació sobre l'edició"><span>més informació</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Especial:Contribucions_pr%C3%B2pies" title="Una llista de les modificacions fetes des d'aquesta adreça IP [y]" accesskey="y"><span>Contribucions</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Especial:Discussi%C3%B3_personal" title="Discussió sobre les edicions per aquesta adreça ip. [n]" accesskey="n"><span>Discussió per aquest IP</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"></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="Lloc"> <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="Contingut" 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">Contingut</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">mou a la barra lateral</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">amaga</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">Inici</div> </a> </li> <li id="toc-Propietats_de_la_multiplicació" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Propietats_de_la_multiplicació"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Propietats de la multiplicació</span> </div> </a> <ul id="toc-Propietats_de_la_multiplicació-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Referències" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Referències"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Referències</span> </div> </a> <ul id="toc-Referències-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Vegeu_també" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Vegeu_també"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Vegeu també</span> </div> </a> <ul id="toc-Vegeu_també-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Enllaços_externs" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Enllaços_externs"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Enllaços externs</span> </div> </a> <ul id="toc-Enllaços_externs-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Contingut" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Commuta la taula de continguts." > <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">Commuta la taula de continguts.</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">Multiplicació</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="Vés a un article en una altra llengua. Disponible en 122 llengües" > <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-122" 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">122 llengües</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/Vermenigvuldiging" title="Vermenigvuldiging - afrikaans" lang="af" hreflang="af" data-title="Vermenigvuldiging" 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/Multiplikation" title="Multiplikation - alemany suís" lang="gsw" hreflang="gsw" data-title="Multiplikation" data-language-autonym="Alemannisch" data-language-local-name="alemany suís" 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%88%9B%E1%89%A3%E1%8B%9B%E1%89%B5" title="ማባዛት - amhàric" lang="am" hreflang="am" data-title="ማባዛት" data-language-autonym="አማርኛ" data-language-local-name="amhàric" 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/Multiplicaci%C3%B3n" title="Multiplicación - aragonès" lang="an" hreflang="an" data-title="Multiplicación" data-language-autonym="Aragonés" data-language-local-name="aragonès" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B6%D8%B1%D8%A8" title="ضرب - àrab" lang="ar" hreflang="ar" data-title="ضرب" data-language-autonym="العربية" data-language-local-name="àrab" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D8%B6%D8%B1%D8%A8" title="ضرب - àrab egipci" lang="arz" hreflang="arz" data-title="ضرب" data-language-autonym="مصرى" data-language-local-name="àrab egipci" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Multiplicaci%C3%B3n" title="Multiplicación - asturià" lang="ast" hreflang="ast" data-title="Multiplicación" data-language-autonym="Asturianu" data-language-local-name="asturià" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Vurma" title="Vurma - azerbaidjanès" lang="az" hreflang="az" data-title="Vurma" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaidjanès" 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/%DA%86%D8%A7%D8%B1%D9%BE%D9%85%D8%A7" title="چارپما - South Azerbaijani" lang="azb" hreflang="azb" data-title="چارپما" 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%A0%D0%B0%D0%B1%D0%B0%D1%82%D0%BB%D0%B0%D1%83" title="Ҡабатлау - baixkir" lang="ba" hreflang="ba" data-title="Ҡабатлау" data-language-autonym="Башҡортса" data-language-local-name="baixkir" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Pagpadakul_(matematika)" title="Pagpadakul (matematika) - Central Bikol" lang="bcl" hreflang="bcl" data-title="Pagpadakul (matematika)" 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%9C%D0%BD%D0%BE%D0%B6%D0%B0%D0%BD%D0%BD%D0%B5" title="Множанне - belarús" lang="be" hreflang="be" data-title="Множанне" data-language-autonym="Беларуская" data-language-local-name="belarús" 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%9C%D0%BD%D0%BE%D0%B6%D0%B0%D0%BD%D1%8C%D0%BD%D0%B5" title="Множаньне - Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Множаньне" 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%A3%D0%BC%D0%BD%D0%BE%D0%B6%D0%B5%D0%BD%D0%B8%D0%B5" title="Умножение - búlgar" lang="bg" hreflang="bg" data-title="Умножение" data-language-autonym="Български" data-language-local-name="búlgar" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%97%E0%A7%81%E0%A6%A3_(%E0%A6%97%E0%A6%A3%E0%A6%BF%E0%A6%A4)" title="গুণ (গণিত) - bengalí" lang="bn" hreflang="bn" data-title="গুণ (গণিত)" data-language-autonym="বাংলা" data-language-local-name="bengalí" 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%A6%E0%BE%92%E0%BE%B1%E0%BD%B4%E0%BD%A2%E0%BC%8B%E0%BD%A2%E0%BE%A9%E0%BD%B2%E0%BD%A6%E0%BC%8D" title="སྒྱུར་རྩིས། - tibetà" lang="bo" hreflang="bo" data-title="སྒྱུར་རྩིས།" data-language-autonym="བོད་ཡིག" data-language-local-name="tibetà" 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/Liesadur" title="Liesadur - bretó" lang="br" hreflang="br" data-title="Liesadur" data-language-autonym="Brezhoneg" data-language-local-name="bretó" 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/Mno%C5%BEenje" title="Množenje - bosnià" lang="bs" hreflang="bs" data-title="Množenje" data-language-autonym="Bosanski" data-language-local-name="bosnià" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-bxr mw-list-item"><a href="https://bxr.wikipedia.org/wiki/%D2%AE%D1%80%D1%8D%D0%B6%D2%AF%D2%AF%D0%BB%D1%82%D1%8D" title="Үрэжүүлтэ - Russia Buriat" lang="bxr" hreflang="bxr" data-title="Үрэжүүлтэ" data-language-autonym="Буряад" data-language-local-name="Russia Buriat" class="interlanguage-link-target"><span>Буряад</span></a></li><li class="interlanguage-link interwiki-cdo mw-list-item"><a href="https://cdo.wikipedia.org/wiki/S%C3%ACng-hu%C3%A1k" title="Sìng-huák - Mindong" lang="cdo" hreflang="cdo" data-title="Sìng-huák" data-language-autonym="閩東語 / Mìng-dĕ̤ng-ngṳ̄" data-language-local-name="Mindong" class="interlanguage-link-target"><span>閩東語 / Mìng-dĕ̤ng-ngṳ̄</span></a></li><li class="interlanguage-link interwiki-chr mw-list-item"><a href="https://chr.wikipedia.org/wiki/%E1%8E%A0%E1%8F%B4%E1%8E%A6%E1%8E%B4%E1%8F%AB%E1%8F%92%E1%8E%AF" title="ᎠᏴᎦᎴᏫᏒᎯ - cherokee" lang="chr" hreflang="chr" data-title="ᎠᏴᎦᎴᏫᏒᎯ" data-language-autonym="ᏣᎳᎩ" data-language-local-name="cherokee" class="interlanguage-link-target"><span>ᏣᎳᎩ</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%84%DB%8E%DA%A9%D8%AF%D8%A7%D9%86" title="لێکدان - kurd central" lang="ckb" hreflang="ckb" data-title="لێکدان" data-language-autonym="کوردی" data-language-local-name="kurd central" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/N%C3%A1soben%C3%AD" title="Násobení - txec" lang="cs" hreflang="cs" data-title="Násobení" data-language-autonym="Čeština" data-language-local-name="txec" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%A5%D1%83%D1%82%D0%BB%D0%B0%D1%81%D1%81%D0%B8" title="Хутласси - txuvaix" lang="cv" hreflang="cv" data-title="Хутласси" data-language-autonym="Чӑвашла" data-language-local-name="txuvaix" 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/Lluosi" title="Lluosi - gal·lès" lang="cy" hreflang="cy" data-title="Lluosi" data-language-autonym="Cymraeg" data-language-local-name="gal·lès" 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/Multiplikation" title="Multiplikation - danès" lang="da" hreflang="da" data-title="Multiplikation" data-language-autonym="Dansk" data-language-local-name="danès" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Multiplikation" title="Multiplikation - alemany" lang="de" hreflang="de" data-title="Multiplikation" data-language-autonym="Deutsch" data-language-local-name="alemany" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A0%CE%BF%CE%BB%CE%BB%CE%B1%CF%80%CE%BB%CE%B1%CF%83%CE%B9%CE%B1%CF%83%CE%BC%CF%8C%CF%82" title="Πολλαπλασιασμός - grec" lang="el" hreflang="el" data-title="Πολλαπλασιασμός" data-language-autonym="Ελληνικά" data-language-local-name="grec" 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/Molt%C3%ACplica" title="Moltìplica - Emiliano-Romagnolo" lang="egl" hreflang="egl" data-title="Moltìplica" 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/Multiplication" title="Multiplication - anglès" lang="en" hreflang="en" data-title="Multiplication" data-language-autonym="English" data-language-local-name="anglès" 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/Multipliko" title="Multipliko - esperanto" lang="eo" hreflang="eo" data-title="Multipliko" 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/Multiplicaci%C3%B3n" title="Multiplicación - espanyol" lang="es" hreflang="es" data-title="Multiplicación" data-language-autonym="Español" data-language-local-name="espanyol" 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/Korrutamine" title="Korrutamine - estonià" lang="et" hreflang="et" data-title="Korrutamine" data-language-autonym="Eesti" data-language-local-name="estonià" 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/Biderketa" title="Biderketa - basc" lang="eu" hreflang="eu" data-title="Biderketa" data-language-autonym="Euskara" data-language-local-name="basc" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B6%D8%B1%D8%A8_(%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C)" title="ضرب (ریاضی) - persa" lang="fa" hreflang="fa" data-title="ضرب (ریاضی)" data-language-autonym="فارسی" data-language-local-name="persa" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Kertolasku" title="Kertolasku - finès" lang="fi" hreflang="fi" data-title="Kertolasku" data-language-autonym="Suomi" data-language-local-name="finès" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fj mw-list-item"><a href="https://fj.wikipedia.org/wiki/Multiplication" title="Multiplication - fijià" lang="fj" hreflang="fj" data-title="Multiplication" data-language-autonym="Na Vosa Vakaviti" data-language-local-name="fijià" class="interlanguage-link-target"><span>Na Vosa Vakaviti</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Multiplication" title="Multiplication - francès" lang="fr" hreflang="fr" data-title="Multiplication" data-language-autonym="Français" data-language-local-name="francès" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Moolnemen" title="Moolnemen - frisó septentrional" lang="frr" hreflang="frr" data-title="Moolnemen" data-language-autonym="Nordfriisk" data-language-local-name="frisó septentrional" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E4%B9%98%E6%B3%95" title="乘法 - xinès gan" lang="gan" hreflang="gan" data-title="乘法" data-language-autonym="贛語" data-language-local-name="xinès 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/Miltiplikasyon" title="Miltiplikasyon - Guianan Creole" lang="gcr" hreflang="gcr" data-title="Miltiplikasyon" 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/Iomadachadh" title="Iomadachadh - gaèlic escocès" lang="gd" hreflang="gd" data-title="Iomadachadh" data-language-autonym="Gàidhlig" data-language-local-name="gaèlic escocès" 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/Multiplicaci%C3%B3n" title="Multiplicación - gallec" lang="gl" hreflang="gl" data-title="Multiplicación" data-language-autonym="Galego" data-language-local-name="gallec" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-hak mw-list-item"><a href="https://hak.wikipedia.org/wiki/S%E1%B9%B3%CC%80n-fap" title="Sṳ̀n-fap - xinès hakka" lang="hak" hreflang="hak" data-title="Sṳ̀n-fap" data-language-autonym="客家語 / Hak-kâ-ngî" data-language-local-name="xinès hakka" class="interlanguage-link-target"><span>客家語 / Hak-kâ-ngî</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9B%D7%A4%D7%9C" title="כפל - hebreu" lang="he" hreflang="he" data-title="כפל" data-language-autonym="עברית" data-language-local-name="hebreu" 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%97%E0%A5%81%E0%A4%A3%E0%A4%BE" title="गुणा - hindi" lang="hi" hreflang="hi" data-title="गुणा" 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/Gunaa" title="Gunaa - hindi de Fiji" lang="hif" hreflang="hif" data-title="Gunaa" data-language-autonym="Fiji Hindi" data-language-local-name="hindi de Fiji" 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/Mno%C5%BEenje" title="Množenje - croat" lang="hr" hreflang="hr" data-title="Množenje" data-language-autonym="Hrvatski" data-language-local-name="croat" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Szorz%C3%A1s" title="Szorzás - hongarès" lang="hu" hreflang="hu" data-title="Szorzás" data-language-autonym="Magyar" data-language-local-name="hongarès" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B2%D5%A1%D5%A6%D5%B4%D5%A1%D5%BA%D5%A1%D5%BF%D5%AF%D5%B8%D6%82%D5%B4" title="Բազմապատկում - armeni" lang="hy" hreflang="hy" data-title="Բազմապատկում" data-language-autonym="Հայերեն" data-language-local-name="armeni" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Multiplication" title="Multiplication - interlingua" lang="ia" hreflang="ia" data-title="Multiplication" data-language-autonym="Interlingua" data-language-local-name="interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Perkalian" title="Perkalian - indonesi" lang="id" hreflang="id" data-title="Perkalian" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesi" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Margf%C3%B6ldun" title="Margföldun - islandès" lang="is" hreflang="is" data-title="Margföldun" data-language-autonym="Íslenska" data-language-local-name="islandès" 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/Moltiplicazione" title="Moltiplicazione - italià" lang="it" hreflang="it" data-title="Moltiplicazione" data-language-autonym="Italiano" data-language-local-name="italià" 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/%E4%B9%97%E6%B3%95" title="乗法 - japonès" lang="ja" hreflang="ja" data-title="乗法" data-language-autonym="日本語" data-language-local-name="japonès" 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/Moltiplikieshan" title="Moltiplikieshan - crioll anglès de Jamaica" lang="jam" hreflang="jam" data-title="Moltiplikieshan" data-language-autonym="Patois" data-language-local-name="crioll anglès de Jamaica" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Tangkaran" title="Tangkaran - javanès" lang="jv" hreflang="jv" data-title="Tangkaran" data-language-autonym="Jawa" data-language-local-name="javanès" 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%92%E1%83%90%E1%83%9B%E1%83%A0%E1%83%90%E1%83%95%E1%83%9A%E1%83%94%E1%83%91%E1%83%90_(%E1%83%9B%E1%83%90%E1%83%97%E1%83%94%E1%83%9B%E1%83%90%E1%83%A2%E1%83%98%E1%83%99%E1%83%90)" title="გამრავლება (მათემატიკა) - georgià" lang="ka" hreflang="ka" data-title="გამრავლება (მათემატიკა)" data-language-autonym="ქართული" data-language-local-name="georgià" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9A%D3%A9%D0%B1%D0%B5%D0%B9%D1%82%D1%83" title="Көбейту - kazakh" lang="kk" hreflang="kk" data-title="Көбейту" 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%97%E0%B3%81%E0%B2%A3%E0%B2%BE%E0%B2%95%E0%B2%BE%E0%B2%B0" title="ಗುಣಾಕಾರ - kannada" lang="kn" hreflang="kn" data-title="ಗುಣಾಕಾರ" 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/%EA%B3%B1%EC%85%88" title="곱셈 - coreà" lang="ko" hreflang="ko" data-title="곱셈" data-language-autonym="한국어" data-language-local-name="coreà" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%9A%D3%A9%D0%B1%D3%A9%D0%B9%D1%82%D2%AF%D2%AF" title="Көбөйтүү - kirguís" lang="ky" hreflang="ky" data-title="Көбөйтүү" data-language-autonym="Кыргызча" data-language-local-name="kirguís" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Multiplicatio" title="Multiplicatio - llatí" lang="la" hreflang="la" data-title="Multiplicatio" data-language-autonym="Latina" data-language-local-name="llatí" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lo mw-list-item"><a href="https://lo.wikipedia.org/wiki/%E0%BA%84%E0%BA%B9%E0%BA%99" title="ຄູນ - laosià" lang="lo" hreflang="lo" data-title="ຄູນ" data-language-autonym="ລາວ" data-language-local-name="laosià" 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/Daugyba" title="Daugyba - lituà" lang="lt" hreflang="lt" data-title="Daugyba" data-language-autonym="Lietuvių" data-language-local-name="lituà" 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/Reizin%C4%81%C5%A1ana" title="Reizināšana - letó" lang="lv" hreflang="lv" data-title="Reizināšana" data-language-autonym="Latviešu" data-language-local-name="letó" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9C%D0%BD%D0%BE%D0%B6%D0%B5%D1%9A%D0%B5" title="Множење - macedoni" lang="mk" hreflang="mk" data-title="Множење" data-language-autonym="Македонски" data-language-local-name="macedoni" 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%97%E0%B5%81%E0%B4%A3%E0%B4%A8%E0%B4%82" title="ഗുണനം - malaiàlam" lang="ml" hreflang="ml" data-title="ഗുണനം" data-language-autonym="മലയാളം" data-language-local-name="malaiàlam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%97%E0%A5%81%E0%A4%A3%E0%A4%BE%E0%A4%95%E0%A4%BE%E0%A4%B0" title="गुणाकार - marathi" lang="mr" hreflang="mr" data-title="गुणाकार" 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/Pendaraban" title="Pendaraban - malai" lang="ms" hreflang="ms" data-title="Pendaraban" data-language-autonym="Bahasa Melayu" data-language-local-name="malai" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-mt mw-list-item"><a href="https://mt.wikipedia.org/wiki/Multiplikazzjoni" title="Multiplikazzjoni - maltès" lang="mt" hreflang="mt" data-title="Multiplikazzjoni" data-language-autonym="Malti" data-language-local-name="maltès" class="interlanguage-link-target"><span>Malti</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%97%E0%A5%81%E0%A4%A3%E0%A4%A8" title="गुणन - nepalès" lang="ne" hreflang="ne" data-title="गुणन" data-language-autonym="नेपाली" data-language-local-name="nepalès" 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%97%E0%A5%81%E0%A4%A3%E0%A4%A8%E0%A4%BE" title="गुणना - newari" lang="new" hreflang="new" data-title="गुणना" 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/Vermenigvuldigen" title="Vermenigvuldigen - neerlandès" lang="nl" hreflang="nl" data-title="Vermenigvuldigen" data-language-autonym="Nederlands" data-language-local-name="neerlandès" 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/Multiplikasjon" title="Multiplikasjon - noruec nynorsk" lang="nn" hreflang="nn" data-title="Multiplikasjon" data-language-autonym="Norsk nynorsk" data-language-local-name="noruec 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/Multiplikasjon" title="Multiplikasjon - noruec bokmål" lang="nb" hreflang="nb" data-title="Multiplikasjon" data-language-autonym="Norsk bokmål" data-language-local-name="noruec 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/Multiplikatione" title="Multiplikatione - novial" lang="nov" hreflang="nov" data-title="Multiplikatione" data-language-autonym="Novial" data-language-local-name="novial" class="interlanguage-link-target"><span>Novial</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Multiplicacion" title="Multiplicacion - occità" lang="oc" hreflang="oc" data-title="Multiplicacion" data-language-autonym="Occitan" data-language-local-name="occità" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Baay%E2%80%99isuu" title="Baay’isuu - oromo" lang="om" hreflang="om" data-title="Baay’isuu" data-language-autonym="Oromoo" data-language-local-name="oromo" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-or mw-list-item"><a href="https://or.wikipedia.org/wiki/%E0%AC%97%E0%AD%81%E0%AC%A3%E0%AC%A8" title="ଗୁଣନ - oriya" lang="or" hreflang="or" data-title="ଗୁଣନ" data-language-autonym="ଓଡ଼ିଆ" data-language-local-name="oriya" class="interlanguage-link-target"><span>ଓଡ଼ିଆ</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%97%E0%A9%81%E0%A8%A3%E0%A8%BE" title="ਗੁਣਾ - panjabi" lang="pa" hreflang="pa" data-title="ਗੁਣਾ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="panjabi" 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/Mno%C5%BCenie" title="Mnożenie - polonès" lang="pl" hreflang="pl" data-title="Mnożenie" data-language-autonym="Polski" data-language-local-name="polonès" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%D8%B6%D8%B1%D8%A8" title="ضرب - paixtu" lang="ps" hreflang="ps" data-title="ضرب" data-language-autonym="پښتو" data-language-local-name="paixtu" 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/Multiplica%C3%A7%C3%A3o" title="Multiplicação - portuguès" lang="pt" hreflang="pt" data-title="Multiplicação" data-language-autonym="Português" data-language-local-name="portuguès" 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/Miray" title="Miray - quítxua" lang="qu" hreflang="qu" data-title="Miray" data-language-autonym="Runa Simi" data-language-local-name="quítxua" 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/%C3%8Enmul%C8%9Bire_(matematic%C4%83)" title="Înmulțire (matematică) - romanès" lang="ro" hreflang="ro" data-title="Înmulțire (matematică)" data-language-autonym="Română" data-language-local-name="romanès" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A3%D0%BC%D0%BD%D0%BE%D0%B6%D0%B5%D0%BD%D0%B8%D0%B5" title="Умножение - rus" lang="ru" hreflang="ru" data-title="Умножение" data-language-autonym="Русский" data-language-local-name="rus" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sat mw-list-item"><a href="https://sat.wikipedia.org/wiki/%E1%B1%9C%E1%B1%9F%E1%B1%B5%E1%B1%9F%E1%B1%AC" title="ᱜᱟᱵᱟᱬ - santali" lang="sat" hreflang="sat" data-title="ᱜᱟᱵᱟᱬ" data-language-autonym="ᱥᱟᱱᱛᱟᱲᱤ" data-language-local-name="santali" class="interlanguage-link-target"><span>ᱥᱟᱱᱛᱟᱲᱤ</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Murtipricazzioni" title="Murtipricazzioni - sicilià" lang="scn" hreflang="scn" data-title="Murtipricazzioni" data-language-autonym="Sicilianu" data-language-local-name="sicilià" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Mno%C5%BEenje" title="Množenje - serbocroat" lang="sh" hreflang="sh" data-title="Množenje" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbocroat" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Multiplication" title="Multiplication - Simple English" lang="en-simple" hreflang="en-simple" data-title="Multiplication" 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/N%C3%A1sobenie" title="Násobenie - eslovac" lang="sk" hreflang="sk" data-title="Násobenie" data-language-autonym="Slovenčina" data-language-local-name="eslovac" 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/Mno%C5%BEenje" title="Množenje - eslovè" lang="sl" hreflang="sl" data-title="Množenje" data-language-autonym="Slovenščina" data-language-local-name="eslovè" 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/Kuwanza_Huwandu" title="Kuwanza Huwandu - shona" lang="sn" hreflang="sn" data-title="Kuwanza Huwandu" 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/Iskudhufasho" title="Iskudhufasho - somali" lang="so" hreflang="so" data-title="Iskudhufasho" 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/Shum%C3%ABzimi" title="Shumëzimi - albanès" lang="sq" hreflang="sq" data-title="Shumëzimi" data-language-autonym="Shqip" data-language-local-name="albanès" 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%9C%D0%BD%D0%BE%D0%B6%D0%B5%D1%9A%D0%B5" title="Множење - serbi" lang="sr" hreflang="sr" data-title="Множење" data-language-autonym="Српски / srpski" data-language-local-name="serbi" 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/Produk_(matematika)" title="Produk (matematika) - sondanès" lang="su" hreflang="su" data-title="Produk (matematika)" data-language-autonym="Sunda" data-language-local-name="sondanès" 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/Multiplikation" title="Multiplikation - suec" lang="sv" hreflang="sv" data-title="Multiplikation" data-language-autonym="Svenska" data-language-local-name="suec" 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/Uzidishaji" title="Uzidishaji - suahili" lang="sw" hreflang="sw" data-title="Uzidishaji" data-language-autonym="Kiswahili" data-language-local-name="suahili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AA%E0%AF%86%E0%AE%B0%E0%AF%81%E0%AE%95%E0%AF%8D%E0%AE%95%E0%AE%B2%E0%AF%8D_(%E0%AE%95%E0%AE%A3%E0%AE%BF%E0%AE%A4%E0%AE%AE%E0%AF%8D)" title="பெருக்கல் (கணிதம்) - tàmil" lang="ta" hreflang="ta" data-title="பெருக்கல் (கணிதம்)" data-language-autonym="தமிழ்" data-language-local-name="tàmil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%97%E0%B1%81%E0%B0%A3%E0%B0%95%E0%B0%BE%E0%B0%B0%E0%B0%82" title="గుణకారం - telugu" lang="te" hreflang="te" data-title="గుణకారం" 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%97%D0%B0%D1%80%D0%B1" title="Зарб - tadjik" lang="tg" hreflang="tg" data-title="Зарб" data-language-autonym="Тоҷикӣ" data-language-local-name="tadjik" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B8%84%E0%B8%B9%E0%B8%93" title="การคูณ - tai" lang="th" hreflang="th" data-title="การคูณ" data-language-autonym="ไทย" data-language-local-name="tai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tk mw-list-item"><a href="https://tk.wikipedia.org/wiki/Kopeltmek(matematika)" title="Kopeltmek(matematika) - turcman" lang="tk" hreflang="tk" data-title="Kopeltmek(matematika)" data-language-autonym="Türkmençe" data-language-local-name="turcman" class="interlanguage-link-target"><span>Türkmençe</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Pagpaparami_(matematika)" title="Pagpaparami (matematika) - tagal" lang="tl" hreflang="tl" data-title="Pagpaparami (matematika)" data-language-autonym="Tagalog" data-language-local-name="tagal" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/%C3%87arpma" title="Çarpma - turc" lang="tr" hreflang="tr" data-title="Çarpma" data-language-autonym="Türkçe" data-language-local-name="turc" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9C%D0%BD%D0%BE%D0%B6%D0%B5%D0%BD%D0%BD%D1%8F" title="Множення - ucraïnès" lang="uk" hreflang="uk" data-title="Множення" data-language-autonym="Українська" data-language-local-name="ucraïnès" 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%B6%D8%B1%D8%A8_(%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C)" title="ضرب (ریاضی) - urdú" lang="ur" hreflang="ur" data-title="ضرب (ریاضی)" data-language-autonym="اردو" data-language-local-name="urdú" 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/Ko%CA%BBpaytma" title="Koʻpaytma - uzbek" lang="uz" hreflang="uz" data-title="Koʻpaytma" 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/Moltiplegasion" title="Moltiplegasion - vènet" lang="vec" hreflang="vec" data-title="Moltiplegasion" data-language-autonym="Vèneto" data-language-local-name="vènet" class="interlanguage-link-target"><span>Vèneto</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Ph%C3%A9p_nh%C3%A2n" title="Phép nhân - vietnamita" lang="vi" hreflang="vi" data-title="Phép nhân" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamita" 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/Pagpilo-pilo" title="Pagpilo-pilo - waray" lang="war" hreflang="war" data-title="Pagpilo-pilo" 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/%E4%B9%98%E6%B3%95" title="乘法 - xinès wu" lang="wuu" hreflang="wuu" data-title="乘法" data-language-autonym="吴语" data-language-local-name="xinès 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%A5%D0%BE%D0%BB%D0%B2%D0%B0%D0%BB%D2%BB%D0%B0%D0%BD" title="Холвалһан - calmuc" lang="xal" hreflang="xal" data-title="Холвалһан" data-language-autonym="Хальмг" data-language-local-name="calmuc" 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/Ukuphinda-phinda" title="Ukuphinda-phinda - xosa" lang="xh" hreflang="xh" data-title="Ukuphinda-phinda" data-language-autonym="IsiXhosa" data-language-local-name="xosa" class="interlanguage-link-target"><span>IsiXhosa</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%98%D7%90%D7%A4%D7%9C%D7%95%D7%A0%D7%92" title="טאפלונג - ídix" lang="yi" hreflang="yi" data-title="טאפלונג" data-language-autonym="ייִדיש" data-language-local-name="ídix" 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/%C3%8Cs%E1%BB%8Ddip%C3%BAp%E1%BB%8D%CC%80" title="Ìsọdipúpọ̀ - ioruba" lang="yo" hreflang="yo" data-title="Ìsọdipúpọ̀" data-language-autonym="Yorùbá" data-language-local-name="ioruba" class="interlanguage-link-target"><span>Yorùbá</span></a></li><li class="interlanguage-link interwiki-za mw-list-item"><a href="https://za.wikipedia.org/wiki/Swngzfap" title="Swngzfap - zhuang" lang="za" hreflang="za" data-title="Swngzfap" data-language-autonym="Vahcuengh" data-language-local-name="zhuang" class="interlanguage-link-target"><span>Vahcuengh</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E4%B9%98%E6%B3%95" title="乘法 - xinès" lang="zh" hreflang="zh" data-title="乘法" data-language-autonym="中文" data-language-local-name="xinès" class="interlanguage-link-target"><span>中文</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%AAng-hoat" title="Sêng-hoat - xinès min del sud" lang="nan" hreflang="nan" data-title="Sêng-hoat" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="xinès min del sud" 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/%E4%B9%98" title="乘 - cantonès" lang="yue" hreflang="yue" data-title="乘" data-language-autonym="粵語" data-language-local-name="cantonès" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q40276#sitelinks-wikipedia" title="Modifica enllaços interlingües" class="wbc-editpage">Modifica els enllaços</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="Espais de noms"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div 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accesskey="e"><span>Modifica</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Multiplicaci%C3%B3&action=history" title="Versions antigues d'aquesta pàgina [h]" accesskey="h"><span>Mostra l'historial</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Eines de la pàgina"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Eines" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Eines</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Eines</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">mou a la barra lateral</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">amaga</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Més opcions" > <div class="vector-menu-heading"> Accions </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Multiplicaci%C3%B3"><span>Mostra</span></a></li><li id="ca-more-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Multiplicaci%C3%B3&action=edit" title="Modifica el codi font d'aquesta pàgina [e]" accesskey="e"><span>Modifica</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Multiplicaci%C3%B3&action=history"><span>Mostra l'historial</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> General </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Especial:Enlla%C3%A7os/Multiplicaci%C3%B3" title="Una llista de totes les pàgines wiki que enllacen amb aquesta [j]" accesskey="j"><span>Què hi enllaça</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Especial:Seguiment/Multiplicaci%C3%B3" rel="nofollow" title="Canvis recents a pàgines enllaçades des d'aquesta pàgina [k]" accesskey="k"><span>Canvis relacionats</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Especial:P%C3%A0gines_especials" title="Llista totes les pàgines especials [q]" accesskey="q"><span>Pàgines especials</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Multiplicaci%C3%B3&oldid=32484115" title="Enllaç permanent a aquesta revisió de la pàgina"><span>Enllaç permanent</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Multiplicaci%C3%B3&action=info" title="Més informació sobre aquesta pàgina"><span>Informació de la pàgina</span></a></li><li id="t-cite" class="mw-list-item"><a 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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">Aparença</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">mou a la barra lateral</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">amaga</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">De la Viquipèdia, l'enciclopèdia lliure</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="ca" dir="ltr"><figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Fitxer:Three_by_Four.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b3/Three_by_Four.svg/220px-Three_by_Four.svg.png" decoding="async" width="220" height="183" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b3/Three_by_Four.svg/330px-Three_by_Four.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b3/Three_by_Four.svg/440px-Three_by_Four.svg.png 2x" data-file-width="300" data-file-height="250" /></a><figcaption>Propietat commutativa: <br /> 3 × 4 = 12 = 4 × 3 <br /> dotze elements poden ser ordenats en tres files de quatre o quatre columnes de tres.</figcaption></figure> <p>La <b>multiplicació</b> és una operació <a href="/wiki/Aritm%C3%A8tica" title="Aritmètica">aritmètica</a> resultat d'un cas particular de la <a href="/wiki/Suma" title="Suma">suma</a>. </p><p>Quan tots els sumands d'una suma són iguals, es pot simplificar. Així, si el nombre <i>m</i> se suma <i>n</i> vegades, es diu que es multiplica el nombre <i>m</i> pel nombre <i>n</i>. Els nombres que es multipliquen en una multiplicació, s'anomenen <b>factors</b>, i el resultat de la multiplicació s'anomena <b>producte</b>.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p><p><br /> La multiplicació s'indica amb una creu, ×, o un punt, ⋅.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> En <a href="/wiki/Computaci%C3%B3" class="mw-redirect" title="Computació">computació</a> s'acostuma a utilitzar l'<a href="/wiki/Asterisc" title="Asterisc">asterisc</a> * (ús originari en el llenguatge <a href="/wiki/FORTRAN" class="mw-redirect" title="FORTRAN">FORTRAN</a>). En un <a href="/wiki/Monomi" title="Monomi">monomi</a>, es considera que tots els components del monomi es multipliquen sense necessitat d'indicar cap <a href="/wiki/S%C3%ADmbol" title="Símbol">símbol</a> de multiplicació. </p><p>Exemples: </p> <dl><dd>5⋅2 = 5 +5 = 10</dd> <dd>2⋅5 = 2 +2 +2 +2 +2 = 10</dd> <dd>4⋅3 = 4 +4 +4 = 12</dd> <dd><i>m</i>⋅6 = <i>m</i> +<i>m</i> +<i>m</i> +<i>m</i> +<i>m</i> +<i>m</i></dd></dl> <p>Igual que la suma, la multiplicació és una <a href="/wiki/Operaci%C3%B3_matem%C3%A0tica" title="Operació matemàtica">operació</a> interna dins els <a href="/wiki/Nombre_natural" title="Nombre natural">nombres naturals</a>, els <a href="/wiki/Nombre_enter" title="Nombre enter">enters</a>, els <a href="/wiki/Nombre_racional" title="Nombre racional">racionals</a>, els <a href="/wiki/Nombre_real" title="Nombre real">reals</a> i els <a href="/wiki/Nombre_complex" title="Nombre complex">complexos</a>. </p><p>També es poden multiplicar altres entitats matemàtiques, com <a href="/wiki/Polinomi" title="Polinomi">polinomis</a>, <a href="/wiki/Vector_(Matem%C3%A0tiques)" class="mw-redirect" title="Vector (Matemàtiques)">vectors</a> o <a href="/wiki/Matriu_(matem%C3%A0tiques)" title="Matriu (matemàtiques)">matrius</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Propietats_de_la_multiplicació"><span id="Propietats_de_la_multiplicaci.C3.B3"></span>Propietats de la multiplicació</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Multiplicaci%C3%B3&action=edit&section=1" title="Modifica la secció: Propietats de la multiplicació"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><b>Uniforme</b>: Si als dos membres d'una <a href="/wiki/Igualtat_matem%C3%A0tica" class="mw-redirect" title="Igualtat matemàtica">igualtat</a> se'ls multiplica un mateix nombre, queda una altra igualtat com a resultat.</li></ul> <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=b\Rightarrow a\cdot c=b\cdot c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>=</mo> <mi>b</mi> <mo stretchy="false">⇒</mo> <mi>a</mi> <mo>⋅</mo> <mi>c</mi> <mo>=</mo> <mi>b</mi> <mo>⋅</mo> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a=b\Rightarrow a\cdot c=b\cdot c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fa3c2f6887bd4d0377da3bad3e003e037b1486ea" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:19.638ex; height:2.176ex;" alt="{\displaystyle a=b\Rightarrow a\cdot c=b\cdot c}"></span> </p> <ul><li><b>Monotonia</b>: Si als dos membres d'una <a href="/wiki/Desigualtat_matem%C3%A0tica" title="Desigualtat matemàtica">desigualtat matemàtica</a> se'ls multiplica un mateix <a href="/wiki/Nombre_positiu" title="Nombre positiu">nombre positiu</a>, queda una altra desigualtat del mateix sentit. En el cas que el multiplicant sigui <a href="/wiki/Nombre_negatiu" title="Nombre negatiu">negatiu</a> la desigualtat <b>canvia</b> de sentit.</li></ul> <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>b\Rightarrow a\cdot c>b\cdot c{\text{ si }}c>0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>></mo> <mi>b</mi> <mo stretchy="false">⇒</mo> <mi>a</mi> <mo>⋅</mo> <mi>c</mi> <mo>></mo> <mi>b</mi> <mo>⋅</mo> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext> si </mtext> </mrow> <mi>c</mi> <mo>></mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a>b\Rightarrow a\cdot c>b\cdot c{\text{ si }}c>0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d1e1cfd1a3a7ff4cd47099e812d99b823d0f6e0c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:27.63ex; height:2.176ex;" alt="{\displaystyle a>b\Rightarrow a\cdot c>b\cdot c{\text{ si }}c>0}"></span> </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>b\Rightarrow a\cdot c<b\cdot c{\text{ si }}c<0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>></mo> <mi>b</mi> <mo stretchy="false">⇒</mo> <mi>a</mi> <mo>⋅</mo> <mi>c</mi> <mo><</mo> <mi>b</mi> <mo>⋅</mo> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext> si </mtext> </mrow> <mi>c</mi> <mo><</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a>b\Rightarrow a\cdot c<b\cdot c{\text{ si }}c<0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/656482eddbb3483d15f8906a416f0c49c21a1a63" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:27.63ex; height:2.176ex;" alt="{\displaystyle a>b\Rightarrow a\cdot c<b\cdot c{\text{ si }}c<0}"></span> </p> <ul><li><b>Associativa</b>: Dos o més factors d'una multiplicació es poden substituir pel seu producte sense afectar el resultat.</li></ul> <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\cdot b\cdot c\cdot d=(a\cdot b)\cdot c\cdot d=a\cdot (b\cdot c)\cdot d=a\cdot (b\cdot c\cdot d)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>⋅</mo> <mi>b</mi> <mo>⋅</mo> <mi>c</mi> <mo>⋅</mo> <mi>d</mi> <mo>=</mo> <mo stretchy="false">(</mo> <mi>a</mi> <mo>⋅</mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo>⋅</mo> <mi>c</mi> <mo>⋅</mo> <mi>d</mi> <mo>=</mo> <mi>a</mi> <mo>⋅</mo> <mo stretchy="false">(</mo> <mi>b</mi> <mo>⋅</mo> <mi>c</mi> <mo stretchy="false">)</mo> <mo>⋅</mo> <mi>d</mi> <mo>=</mo> <mi>a</mi> <mo>⋅</mo> <mo stretchy="false">(</mo> <mi>b</mi> <mo>⋅</mo> <mi>c</mi> <mo>⋅</mo> <mi>d</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a\cdot b\cdot c\cdot d=(a\cdot b)\cdot c\cdot d=a\cdot (b\cdot c)\cdot d=a\cdot (b\cdot c\cdot d)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2724cab3ee4f42a175ec5d9aadfb83c62493dcc4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:52.673ex; height:2.843ex;" alt="{\displaystyle a\cdot b\cdot c\cdot d=(a\cdot b)\cdot c\cdot d=a\cdot (b\cdot c)\cdot d=a\cdot (b\cdot c\cdot d)}"></span> </p> <ul><li><b>Commutativa</b>: L'ordre dels factors no afecta el valor del producte.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup></li></ul> <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\cdot b=b\cdot a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>⋅</mo> <mi>b</mi> <mo>=</mo> <mi>b</mi> <mo>⋅</mo> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a\cdot b=b\cdot a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0a4b7dede7493e0231b3ad6ff9b54f4eae954108" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:10.911ex; height:2.176ex;" alt="{\displaystyle a\cdot b=b\cdot a}"></span> </p> <ul><li><b>Distributiva</b>: Amb la <a href="/wiki/Suma" title="Suma">suma</a>, es compleix la següent igualtat:</li></ul> <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\cdot (b+c)=a\cdot b+a\cdot c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>⋅</mo> <mo stretchy="false">(</mo> <mi>b</mi> <mo>+</mo> <mi>c</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>a</mi> <mo>⋅</mo> <mi>b</mi> <mo>+</mo> <mi>a</mi> <mo>⋅</mo> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a\cdot (b+c)=a\cdot b+a\cdot c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8827e12f09f1ab8a5f3d7783b7357bd4cc398db7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:23.324ex; height:2.843ex;" alt="{\displaystyle a\cdot (b+c)=a\cdot b+a\cdot c}"></span> </p><p>En general: </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\cdot (b+c+d+e+...)=a\cdot b+a\cdot c+a\cdot d+a\cdot e+...}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>⋅</mo> <mo stretchy="false">(</mo> <mi>b</mi> <mo>+</mo> <mi>c</mi> <mo>+</mo> <mi>d</mi> <mo>+</mo> <mi>e</mi> <mo>+</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo stretchy="false">)</mo> <mo>=</mo> <mi>a</mi> <mo>⋅</mo> <mi>b</mi> <mo>+</mo> <mi>a</mi> <mo>⋅</mo> <mi>c</mi> <mo>+</mo> <mi>a</mi> <mo>⋅</mo> <mi>d</mi> <mo>+</mo> <mi>a</mi> <mo>⋅</mo> <mi>e</mi> <mo>+</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a\cdot (b+c+d+e+...)=a\cdot b+a\cdot c+a\cdot d+a\cdot e+...}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9f27d9ac2bda3165e55a9529273038d6f17e9ced" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:54.535ex; height:2.843ex;" alt="{\displaystyle a\cdot (b+c+d+e+...)=a\cdot b+a\cdot c+a\cdot d+a\cdot e+...}"></span> </p><p>En aquesta igualtat <i>a</i> rep el nom de <b>factor comú</b>. A l'acció de fer aquesta operació a l'inrevés s'anomena <b>treure factor comú</b> </p><p>Exemples de treure factor comú: </p><p>15 +20 -30 = 5⋅(3 +4 -6) </p><p>10 +8 -6 = 2⋅(5 +4 -3) </p> <ul><li><b>Element neutre</b>: L'<a href="/wiki/Element_neutre" title="Element neutre">element neutre</a> de la multiplicació és l'1, de manera que:</li></ul> <p>3⋅1 = 3 </p> <ul><li><b>Multiplicació per zero</b>: Qualsevol multiplicació d'un <a href="/wiki/Nombre_real" title="Nombre real">nombre real</a> per <a href="/wiki/Zero" title="Zero">zero</a> és igual a zero.</li></ul> <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\cdot 0=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>⋅</mo> <mn>0</mn> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a\cdot 0=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/31f39efe37450f6bce024486f458a90d11a08278" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.332ex; height:2.176ex;" alt="{\displaystyle a\cdot 0=0}"></span> </p> <div class="mw-heading mw-heading2"><h2 id="Referències"><span id="Refer.C3.A8ncies"></span>Referències</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Multiplicaci%C3%B3&action=edit&section=2" title="Modifica la secció: Referències"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist {{#if: | references-column-count references-column-count-{{{col}}}" style="list-style-type: decimal;"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><span class="citation" style="font-style:normal">«<a rel="nofollow" class="external text" href="https://www.definitions.net/definition/multiplication">What does multiplication mean?</a>». [Consulta: 17 gener 2022].</span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text"><span class="citation" style="font-style:normal">«<a rel="nofollow" class="external text" href="https://economipedia.com/definiciones/multiplicacion.html">Multiplicación</a>» (en castellà). [Consulta: 25 gener 2022].</span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><a href="#cite_ref-3">↑</a></span> <span class="reference-text"><span class="citation" style="font-style:normal">«<a rel="nofollow" class="external text" href="https://edu.gcfglobal.org/es/multiplicar/propiedades-de-la-multiplicacion/1/">Multiplicar: Propiedades de la multiplicación</a>» (en castellà). [Consulta: 31 gener 2022].</span></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="Vegeu_també"><span id="Vegeu_tamb.C3.A9"></span>Vegeu també</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Multiplicaci%C3%B3&action=edit&section=3" title="Modifica la secció: Vegeu també"><span>modifica</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Factoritzaci%C3%B3" title="Factorització">Factorització</a></li> <li><a href="/wiki/Invers_multiplicatiu" title="Invers multiplicatiu">Invers multiplicatiu</a></li> <li><a href="/wiki/Multiplicaci%C3%B3_de_matrius" title="Multiplicació de matrius">Multiplicació de matrius</a></li> <li><a href="/wiki/Potenciaci%C3%B3" title="Potenciació">Potenciació</a></li> <li><a href="/wiki/Taula_de_multiplicar" title="Taula de multiplicar">Taula de multiplicar</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Enllaços_externs"><span 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.side-box{width:238px}.mw-parser-output .side-box-right{clear:right;float:right;margin-left:1em}.mw-parser-output .side-box-left{margin-right:1em}.mw-parser-output .side-box-center{clear:both;margin:auto}}</style><div class="side-box metadata side-box-right plainlinks"> <div class="side-box-flex"> <div class="side-box-image"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png" decoding="async" width="30" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/45px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/59px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></span></span></div> <div class="side-box-text plainlist">A <span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/P%C3%A0gina_principal?uselang=ca">Wikimedia Commons</a></span> hi ha contingut multimèdia relatiu a: <i><b><a href="https://commons.wikimedia.org/wiki/Category:Multiplication" class="extiw" title="commons:Category:Multiplication">Multiplicació</a></b></i></div></div> </div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r33663753"><div class="side-box metadata side-box-right plainlinks"> <div class="side-box-flex"> <div class="side-box-image"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Wikibooks-logo.svg/40px-Wikibooks-logo.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Wikibooks-logo.svg/60px-Wikibooks-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Wikibooks-logo.svg/80px-Wikibooks-logo.svg.png 2x" data-file-width="300" data-file-height="300" /></span></span></div> <div class="side-box-text plainlist">A <a href="https://ca.wikibooks.org/wiki/Portada" class="extiw" title="b:Portada">Viquillibres</a> hi ha llibres de contingut lliure i altres textos relatius a <i><b><a href="https://ca.wikibooks.org/wiki/ca:Les_quatre_operacions_b%C3%A0siques" class="extiw" title="b:ca:Les quatre operacions bàsiques">Multiplicació</a></b></i>.</div></div> </div> <ul><li><a rel="nofollow" class="external text" href="http://www.autorueda.com/articulos.htm">Multiplicació</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20060426233929/http://www.autorueda.com/articulos.htm">Arxivat</a> 2006-04-26 a <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>.</li></ul> <div role="navigation" class="navbox" aria-labelledby="Hiperoperacions" style="padding:3px"><table class="nowraplinks collapsible collapsed navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div class="plainlinks hlist navbar mini"><ul><li class="nv-view"><span typeof="mw:File"><a href="/wiki/Plantilla:Hiperoperacions" title="Plantilla:Hiperoperacions"><img alt="Vegeu aquesta plantilla" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/28/Commons-emblem-notice.svg/18px-Commons-emblem-notice.svg.png" decoding="async" width="18" height="18" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/28/Commons-emblem-notice.svg/27px-Commons-emblem-notice.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/28/Commons-emblem-notice.svg/36px-Commons-emblem-notice.svg.png 2x" data-file-width="48" data-file-height="48" /></a></span></li></ul></div><div id="Hiperoperacions" style="font-size:114%;margin:0 4em"><a href="/wiki/Hiperoperaci%C3%B3" title="Hiperoperació">Hiperoperacions</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">Primari</th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/w/index.php?title=Funci%C3%B3_successor&action=edit&redlink=1" class="new" title="Funció successor (encara no existeix)">Successor (0)</a></li> <li><a href="/wiki/Suma" title="Suma">Addició (1)</a></li> <li><a class="mw-selflink selflink">Multiplicació (2)</a></li> <li><a href="/wiki/Exponenciaci%C3%B3" class="mw-redirect" title="Exponenciació">Exponenciació (3)</a></li> <li><a href="/w/index.php?title=Tetraci%C3%B3&action=edit&redlink=1" class="new" title="Tetració (encara no existeix)">Tetració (4)</a></li> <li><a href="/wiki/Pentaci%C3%B3" title="Pentació">Pentació (5)</a></li> <li><a href="/w/index.php?title=Hexaci%C3%B3&action=edit&redlink=1" class="new" title="Hexació (encara no existeix)">Hexació (6)</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Inversa per a l'argument esquerre</th><td class="navbox-list navbox-even hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Subtracci%C3%B3" class="mw-redirect" title="Subtracció">Subtracció (1)</a></li> <li><a href="/wiki/Divisi%C3%B3" title="Divisió">Divisió (2)</a></li> <li><a href="/wiki/Arrel_en%C3%A8sima" title="Arrel enèsima">Arrel enèsima (3)</a></li> <li><a href="/w/index.php?title=Superarrel&action=edit&redlink=1" class="new" title="Superarrel (encara no existeix)">Superarrel (4)</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Inversa per a l'argument dret</th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Subtracci%C3%B3" class="mw-redirect" title="Subtracció">Subtracció (1)</a></li> <li><a href="/wiki/Divisi%C3%B3" title="Divisió">Divisió (2)</a></li> <li><a href="/wiki/Logaritme" title="Logaritme">Logaritme (3)</a></li> <li><a href="/w/index.php?title=Superlogaritme&action=edit&redlink=1" class="new" title="Superlogaritme (encara no existeix)">Superlogaritme (4)</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Vegeu també</th><td class="navbox-list navbox-even hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Funci%C3%B3_d%27Ackermann" title="Funció d'Ackermann">Funció d'Ackermann</a></li> <li><a href="/w/index.php?title=Operador_de_Bowers&action=edit&redlink=1" class="new" title="Operador de Bowers (encara no existeix)">Operador de Bowers</a></li> <li><a href="/w/index.php?title=Notaci%C3%B3_de_fletxes_encadenades_de_Conway&action=edit&redlink=1" class="new" title="Notació de fletxes encadenades de Conway (encara no existeix)">Notació de fletxes encadenades de Conway</a></li> <li><a href="/wiki/Jerarquia_de_Grzegorczyk" title="Jerarquia de Grzegorczyk">Jerarquia de Grzegorczyk</a></li> <li><a href="/wiki/Notaci%C3%B3_de_fletxa_de_Knuth" title="Notació de fletxa de Knuth">Notació de fletxa de Knuth</a></li> <li><a href="/w/index.php?title=Notaci%C3%B3_de_Steinhaus%E2%80%93Moser&action=edit&redlink=1" class="new" title="Notació de Steinhaus–Moser (encara no existeix)">Notació de Steinhaus–Moser</a></li></ul> </div></td></tr></tbody></table></div> <div role="navigation" class="navbox" aria-label="Navbox" style="padding:3px"><table class="nowraplinks hlist navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Control_d%27autoritats" title="Control d'autoritats">Registres d'autoritat</a></th><td class="navbox-list navbox-odd" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div 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