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class="mw-list-item"><a href="/wiki/Natatangi:Usapan_ko" title="Usapang tungkol sa mga pagbabagong ginawa sa ip address na ito [n]" 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"></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-Mga_termino" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Mga_termino"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Mga termino</span> </div> </a> <ul id="toc-Mga_termino-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Notasyon" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Notasyon"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Notasyon</span> </div> </a> <ul id="toc-Notasyon-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Mga_sanggunian" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Mga_sanggunian"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Mga sanggunian</span> </div> </a> <ul id="toc-Mga_sanggunian-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="Mga nilalaman" 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="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">Pagpaparami (matematika)</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 122 (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-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 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/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 – Alemannic" lang="gsw" hreflang="gsw" data-title="Multiplikation" 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%88%9B%E1%89%A3%E1%8B%9B%E1%89%B5" title="ማባዛት – Amharic" lang="am" hreflang="am" data-title="ማባዛት" 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/Multiplicaci%C3%B3n" title="Multiplicación – Aragonese" lang="an" hreflang="an" data-title="Multiplicación" data-language-autonym="Aragonés" data-language-local-name="Aragonese" 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 – Arabic" lang="ar" hreflang="ar" data-title="ضرب" data-language-autonym="العربية" data-language-local-name="Arabic" 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 – Egyptian Arabic" lang="arz" hreflang="arz" data-title="ضرب" data-language-autonym="مصرى" data-language-local-name="Egyptian Arabic" 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 – Asturian" lang="ast" hreflang="ast" data-title="Multiplicación" data-language-autonym="Asturianu" data-language-local-name="Asturian" 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 – Azerbaijani" lang="az" hreflang="az" data-title="Vurma" 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/%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 – Bashkir" lang="ba" hreflang="ba" data-title="Ҡабатлау" data-language-autonym="Башҡортса" data-language-local-name="Bashkir" 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 – Belarusian" lang="be" hreflang="be" data-title="Множанне" 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%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 – Bulgarian" lang="bg" hreflang="bg" data-title="Умножение" data-language-autonym="Български" data-language-local-name="Bulgarian" 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) – Bangla" lang="bn" hreflang="bn" data-title="গুণ (গণিত)" 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%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། – Tibetan" lang="bo" hreflang="bo" data-title="སྒྱུར་རྩིས།" 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/Liesadur" title="Liesadur – Breton" lang="br" hreflang="br" data-title="Liesadur" 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/Mno%C5%BEenje" title="Množenje – Bosnian" lang="bs" hreflang="bs" data-title="Množenje" 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/%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-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Multiplicaci%C3%B3" title="Multiplicació – Catalan" lang="ca" hreflang="ca" data-title="Multiplicació" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cdo mw-list-item"><a href="https://cdo.wikipedia.org/wiki/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 – Central Kurdish" lang="ckb" hreflang="ckb" data-title="لێکدان" data-language-autonym="کوردی" data-language-local-name="Central Kurdish" 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 – Czech" lang="cs" hreflang="cs" data-title="Násobení" data-language-autonym="Čeština" data-language-local-name="Czech" 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 – Chuvash" lang="cv" hreflang="cv" data-title="Хутласси" 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/Lluosi" title="Lluosi – Welsh" lang="cy" hreflang="cy" data-title="Lluosi" 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/Multiplikation" title="Multiplikation – Danish" lang="da" hreflang="da" data-title="Multiplikation" data-language-autonym="Dansk" data-language-local-name="Danish" 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 – German" lang="de" hreflang="de" data-title="Multiplikation" data-language-autonym="Deutsch" data-language-local-name="German" 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 – Greek" lang="el" hreflang="el" data-title="Πολλαπλασιασμός" 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/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 – English" lang="en" hreflang="en" data-title="Multiplication" 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/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 – Spanish" lang="es" hreflang="es" data-title="Multiplicación" 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/Korrutamine" title="Korrutamine – Estonian" lang="et" hreflang="et" data-title="Korrutamine" 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/Biderketa" title="Biderketa – Basque" lang="eu" hreflang="eu" data-title="Biderketa" data-language-autonym="Euskara" data-language-local-name="Basque" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B6%D8%B1%D8%A8_(%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C)" title="ضرب (ریاضی) – Persian" lang="fa" hreflang="fa" data-title="ضرب (ریاضی)" data-language-autonym="فارسی" data-language-local-name="Persian" 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 – Finnish" lang="fi" hreflang="fi" data-title="Kertolasku" data-language-autonym="Suomi" data-language-local-name="Finnish" 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 – Fijian" lang="fj" hreflang="fj" data-title="Multiplication" 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-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Multiplication" title="Multiplication – French" lang="fr" hreflang="fr" data-title="Multiplication" data-language-autonym="Français" data-language-local-name="French" 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 – Northern Frisian" lang="frr" hreflang="frr" data-title="Moolnemen" data-language-autonym="Nordfriisk" data-language-local-name="Northern Frisian" 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 – Gan" lang="gan" hreflang="gan" data-title="乘法" 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/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 – Scottish Gaelic" lang="gd" hreflang="gd" data-title="Iomadachadh" 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/Multiplicaci%C3%B3n" title="Multiplicación – Galician" lang="gl" hreflang="gl" data-title="Multiplicación" data-language-autonym="Galego" data-language-local-name="Galician" 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 – Hakka Chinese" lang="hak" hreflang="hak" data-title="Sṳ̀n-fap" data-language-autonym="客家語 / Hak-kâ-ngî" data-language-local-name="Hakka Chinese" 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 – Hebrew" lang="he" hreflang="he" data-title="כפל" 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%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 – Fiji Hindi" lang="hif" hreflang="hif" data-title="Gunaa" 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/Mno%C5%BEenje" title="Množenje – Croatian" lang="hr" hreflang="hr" data-title="Množenje" data-language-autonym="Hrvatski" data-language-local-name="Croatian" 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 – Hungarian" lang="hu" hreflang="hu" data-title="Szorzás" 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%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 – Armenian" lang="hy" hreflang="hy" data-title="Բազմապատկում" data-language-autonym="Հայերեն" data-language-local-name="Armenian" 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 – Indonesian" lang="id" hreflang="id" data-title="Perkalian" 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-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Margf%C3%B6ldun" title="Margföldun – Icelandic" lang="is" hreflang="is" data-title="Margföldun" 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/Moltiplicazione" title="Moltiplicazione – Italian" lang="it" hreflang="it" data-title="Moltiplicazione" 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/%E4%B9%97%E6%B3%95" title="乗法 – Japanese" lang="ja" hreflang="ja" data-title="乗法" 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/Moltiplikieshan" title="Moltiplikieshan – Jamaican Creole English" lang="jam" hreflang="jam" data-title="Moltiplikieshan" 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-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Tangkaran" title="Tangkaran – Javanese" lang="jv" hreflang="jv" data-title="Tangkaran" 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%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) – Georgian" lang="ka" hreflang="ka" data-title="გამრავლება (მათემატიკა)" data-language-autonym="ქართული" data-language-local-name="Georgian" 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 – Korean" lang="ko" hreflang="ko" data-title="곱셈" data-language-autonym="한국어" data-language-local-name="Korean" 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 – Kyrgyz" lang="ky" hreflang="ky" data-title="Көбөйтүү" data-language-autonym="Кыргызча" data-language-local-name="Kyrgyz" 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 – Latin" lang="la" hreflang="la" data-title="Multiplicatio" data-language-autonym="Latina" data-language-local-name="Latin" 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 – Lao" lang="lo" hreflang="lo" data-title="ຄູນ" 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/Daugyba" title="Daugyba – Lithuanian" lang="lt" hreflang="lt" data-title="Daugyba" 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/Reizin%C4%81%C5%A1ana" title="Reizināšana – Latvian" lang="lv" hreflang="lv" data-title="Reizināšana" data-language-autonym="Latviešu" data-language-local-name="Latvian" 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 – Macedonian" lang="mk" hreflang="mk" data-title="Множење" 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%97%E0%B5%81%E0%B4%A3%E0%B4%A8%E0%B4%82" title="ഗുണനം – Malayalam" lang="ml" hreflang="ml" data-title="ഗുണനം" data-language-autonym="മലയാളം" data-language-local-name="Malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%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 – Malay" lang="ms" hreflang="ms" data-title="Pendaraban" 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-mt mw-list-item"><a href="https://mt.wikipedia.org/wiki/Multiplikazzjoni" title="Multiplikazzjoni – Maltese" lang="mt" hreflang="mt" data-title="Multiplikazzjoni" data-language-autonym="Malti" data-language-local-name="Maltese" 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 – Nepali" lang="ne" hreflang="ne" data-title="गुणन" 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%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 – Dutch" lang="nl" hreflang="nl" data-title="Vermenigvuldigen" 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/Multiplikasjon" title="Multiplikasjon – Norwegian Nynorsk" lang="nn" hreflang="nn" data-title="Multiplikasjon" 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/Multiplikasjon" title="Multiplikasjon – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Multiplikasjon" 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/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 – Occitan" lang="oc" hreflang="oc" data-title="Multiplicacion" data-language-autonym="Occitan" data-language-local-name="Occitan" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/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 – Odia" lang="or" hreflang="or" data-title="ଗୁଣନ" data-language-autonym="ଓଡ଼ିଆ" data-language-local-name="Odia" class="interlanguage-link-target"><span>ଓଡ଼ିଆ</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%97%E0%A9%81%E0%A8%A3%E0%A8%BE" title="ਗੁਣਾ – Punjabi" lang="pa" hreflang="pa" data-title="ਗੁਣਾ" 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/Mno%C5%BCenie" title="Mnożenie – Polish" lang="pl" hreflang="pl" data-title="Mnożenie" data-language-autonym="Polski" data-language-local-name="Polish" 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 – Pashto" lang="ps" hreflang="ps" data-title="ضرب" 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/Multiplica%C3%A7%C3%A3o" title="Multiplicação – Portuguese" lang="pt" hreflang="pt" data-title="Multiplicação" 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/Miray" title="Miray – Quechua" lang="qu" hreflang="qu" data-title="Miray" 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/%C3%8Enmul%C8%9Bire_(matematic%C4%83)" title="Înmulțire (matematică) – Romanian" lang="ro" hreflang="ro" data-title="Înmulțire (matematică)" data-language-autonym="Română" data-language-local-name="Romanian" 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 – Russian" lang="ru" hreflang="ru" data-title="Умножение" data-language-autonym="Русский" data-language-local-name="Russian" 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 – Sicilian" lang="scn" hreflang="scn" data-title="Murtipricazzioni" data-language-autonym="Sicilianu" data-language-local-name="Sicilian" 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 – Serbo-Croatian" lang="sh" hreflang="sh" data-title="Množenje" 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-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 – Slovak" lang="sk" hreflang="sk" data-title="Násobenie" 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/Mno%C5%BEenje" title="Množenje – Slovenian" lang="sl" hreflang="sl" data-title="Množenje" 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/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 – Albanian" lang="sq" hreflang="sq" data-title="Shumëzimi" 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%9C%D0%BD%D0%BE%D0%B6%D0%B5%D1%9A%D0%B5" title="Множење – Serbian" lang="sr" hreflang="sr" data-title="Множење" 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/Produk_(matematika)" title="Produk (matematika) – Sundanese" lang="su" hreflang="su" data-title="Produk (matematika)" 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/Multiplikation" title="Multiplikation – Swedish" lang="sv" hreflang="sv" data-title="Multiplikation" 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/Uzidishaji" title="Uzidishaji – Swahili" lang="sw" hreflang="sw" data-title="Uzidishaji" data-language-autonym="Kiswahili" data-language-local-name="Swahili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%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) – Tamil" lang="ta" hreflang="ta" data-title="பெருக்கல் (கணிதம்)" data-language-autonym="தமிழ்" data-language-local-name="Tamil" 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 – Tajik" lang="tg" hreflang="tg" data-title="Зарб" 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%81%E0%B8%B2%E0%B8%A3%E0%B8%84%E0%B8%B9%E0%B8%93" title="การคูณ – Thai" lang="th" hreflang="th" data-title="การคูณ" data-language-autonym="ไทย" data-language-local-name="Thai" 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) – Turkmen" lang="tk" hreflang="tk" data-title="Kopeltmek(matematika)" 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/%C3%87arpma" title="Çarpma – Turkish" lang="tr" hreflang="tr" data-title="Çarpma" data-language-autonym="Türkçe" data-language-local-name="Turkish" 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 – Ukrainian" lang="uk" hreflang="uk" data-title="Множення" 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%B6%D8%B1%D8%A8_(%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C)" title="ضرب (ریاضی) – Urdu" lang="ur" hreflang="ur" data-title="ضرب (ریاضی)" 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/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 – Venetian" lang="vec" hreflang="vec" data-title="Moltiplegasion" data-language-autonym="Vèneto" data-language-local-name="Venetian" 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 – Vietnamese" lang="vi" hreflang="vi" data-title="Phép nhân" 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/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 – Wu" lang="wuu" hreflang="wuu" data-title="乘法" 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%A5%D0%BE%D0%BB%D0%B2%D0%B0%D0%BB%D2%BB%D0%B0%D0%BD" title="Холвалһан – Kalmyk" lang="xal" hreflang="xal" data-title="Холвалһан" 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/Ukuphinda-phinda" title="Ukuphinda-phinda – Xhosa" lang="xh" hreflang="xh" data-title="Ukuphinda-phinda" data-language-autonym="IsiXhosa" data-language-local-name="Xhosa" class="interlanguage-link-target"><span>IsiXhosa</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%98%D7%90%D7%A4%D7%9C%D7%95%D7%A0%D7%92" title="טאפלונג – Yiddish" lang="yi" hreflang="yi" data-title="טאפלונג" 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/%C3%8Cs%E1%BB%8Ddip%C3%BAp%E1%BB%8D%CC%80" title="Ìsọdipúpọ̀ – Yoruba" lang="yo" hreflang="yo" data-title="Ìsọdipúpọ̀" data-language-autonym="Yorùbá" data-language-local-name="Yoruba" 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 – Chinese" lang="zh" hreflang="zh" data-title="乘法" 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-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/S%C3%AAng-hoat" title="Sêng-hoat – Minnan" lang="nan" hreflang="nan" data-title="Sêng-hoat" 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/%E4%B9%98" title="乘 – Cantonese" lang="yue" hreflang="yue" data-title="乘" data-language-autonym="粵語" data-language-local-name="Cantonese" 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="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 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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"><div role="note" class="hatnote navigation-not-searchable">Tungkol sa operasyon sa matematika ang artikulo na ito. Para sa proseso ng búhay, tingnan ang <a href="/wiki/Pagpaparami" title="Pagpaparami">Pagpaparami</a>.</div><table class="vertical-navbox nowraplinks" style="float:right;clear:right;width:22.0em;margin:0 0 1.0em 1.0em;background:#f9f9f9;border:1px solid #aaa;padding:0.2em;border-spacing:0.4em 0;text-align:center;line-height:1.4em;font-size:88%;background-color: white; border: 1px solid #a2a9b1; border-radius: 3px;"><tbody><tr><td style="padding:0.3em 0.4em 0.3em;font-weight:bold;background-color: transparent; font-size: 150%;"> <span style="font-size:85%;">Mga <a href="/wiki/Operasyon_(matematika)" title="Operasyon (matematika)">operasyon</a> ng</span><br /><a href="/wiki/Aritmetika" title="Aritmetika">Aritmetika</a></td></tr><tr><td style="padding:0 0.1em 0.4em;font-size:108%; background-color:transparent;"> <table class="infobox" cellspacing="5" style="width: 22em; text-align: left; font-size: 88%; line-height: 1.5em; border: none; background-color: transparent;"><tbody><tr class=""><th colspan="4" style="text-align:center; font-size: 120%;"><a href="/wiki/Pagdaragdag" title="Pagdaragdag">Pagdaragdag</a> (+)</th></tr><tr class="" style=""><th style="display:none;"></th><td class="" style="text-align:right; vertical-align:middle;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \left.{\begin{matrix}\scriptstyle {\text{termino}}\,+\,{\text{termino}}\\\scriptstyle {\text{panagdag}}\,+\,{\text{panagdag}}\end{matrix}}\right\}\,=\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mrow> <mo fence="true" stretchy="true" symmetric="true"></mo> <mrow class="MJX-TeXAtom-ORD"> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext>termino</mtext> </mrow> <mspace width="thinmathspace" /> <mo>+</mo> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mtext>termino</mtext> </mrow> </mstyle> </mtd> </mtr> <mtr> <mtd> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext>panagdag</mtext> </mrow> <mspace width="thinmathspace" /> <mo>+</mo> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mtext>panagdag</mtext> </mrow> </mstyle> </mtd> </mtr> </mtable> </mrow> <mo>}</mo> </mrow> <mspace width="thinmathspace" /> <mo>=</mo> <mspace width="thinmathspace" /> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \left.{\begin{matrix}\scriptstyle {\text{termino}}\,+\,{\text{termino}}\\\scriptstyle {\text{panagdag}}\,+\,{\text{panagdag}}\end{matrix}}\right\}\,=\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dab41b20d8e036ee6dbb41d82d0959a15f969839" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.702ex; margin-bottom: -0.303ex; width:19.793ex; height:4.843ex;" alt="{\displaystyle \scriptstyle \left.{\begin{matrix}\scriptstyle {\text{termino}}\,+\,{\text{termino}}\\\scriptstyle {\text{panagdag}}\,+\,{\text{panagdag}}\end{matrix}}\right\}\,=\,}"></span></td><td class="" style="text-align:left; vertical-align:middle;"><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 {\begin{matrix}\scriptstyle {\text{dagup}}\\\scriptstyle {\text{suma}}\end{matrix}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext>dagup</mtext> </mrow> </mstyle> </mtd> </mtr> <mtr> <mtd> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext>suma</mtext> </mrow> </mstyle> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{matrix}\scriptstyle {\text{dagup}}\\\scriptstyle {\text{suma}}\end{matrix}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/957913ebe58b92fad8386e0231b472b1cc295fef" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:5.137ex; height:6.176ex;" alt="{\displaystyle {\begin{matrix}\scriptstyle {\text{dagup}}\\\scriptstyle {\text{suma}}\end{matrix}}}"></span></td><td class="" style=""></td></tr><tr class=""><th colspan="4" style="text-align:center; font-size: 120%;"><a href="/wiki/Pagbabawas" title="Pagbabawas">Pagbabawas</a> (−)</th></tr><tr class="" style=""><th style="display:none;"></th><td class="" style="text-align:right; vertical-align:middle;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \left.{\begin{matrix}\scriptstyle {\text{termino}}\,-\,{\text{termino}}\\\scriptstyle {\text{bawasin}}\,-\,{\text{pamawas}}\end{matrix}}\right\}\,=\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mrow> <mo fence="true" stretchy="true" symmetric="true"></mo> <mrow class="MJX-TeXAtom-ORD"> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext>termino</mtext> </mrow> <mspace width="thinmathspace" /> <mo>−</mo> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mtext>termino</mtext> </mrow> </mstyle> </mtd> </mtr> <mtr> <mtd> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext>bawasin</mtext> </mrow> <mspace width="thinmathspace" /> <mo>−</mo> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mtext>pamawas</mtext> </mrow> </mstyle> </mtd> </mtr> </mtable> </mrow> <mo>}</mo> </mrow> <mspace width="thinmathspace" /> <mo>=</mo> <mspace width="thinmathspace" /> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \left.{\begin{matrix}\scriptstyle {\text{termino}}\,-\,{\text{termino}}\\\scriptstyle {\text{bawasin}}\,-\,{\text{pamawas}}\end{matrix}}\right\}\,=\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e38b40bbf322ba75eaf914027898a365cfcb9ab4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:18.436ex; height:4.843ex;" alt="{\displaystyle \scriptstyle \left.{\begin{matrix}\scriptstyle {\text{termino}}\,-\,{\text{termino}}\\\scriptstyle {\text{bawasin}}\,-\,{\text{pamawas}}\end{matrix}}\right\}\,=\,}"></span></td><td class="" style="text-align:left; vertical-align:middle;"><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 {\begin{matrix}\scriptstyle {\text{diperensiya}}\\\scriptstyle {\text{kaibhan}}\end{matrix}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext>diperensiya</mtext> </mrow> </mstyle> </mtd> </mtr> <mtr> <mtd> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext>kaibhan</mtext> </mrow> </mstyle> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{matrix}\scriptstyle {\text{diperensiya}}\\\scriptstyle {\text{kaibhan}}\end{matrix}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/920e965101e90574c3d1a787899551be9f064916" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:8.851ex; height:6.176ex;" alt="{\displaystyle {\begin{matrix}\scriptstyle {\text{diperensiya}}\\\scriptstyle {\text{kaibhan}}\end{matrix}}}"></span></td><td class="" style=""></td></tr><tr class=""><th colspan="4" style="text-align:center; font-size: 120%;"><a class="mw-selflink selflink">Pagpaparami</a> (×)</th></tr><tr class="" style=""><th style="display:none;"></th><td class="" style="text-align:right; vertical-align:middle;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \left.{\begin{matrix}\scriptstyle {\text{kabuo}}\,\times \,{\text{kabuo}}\\\scriptstyle {\text{damihin}}\,\times \,{\text{parami}}\end{matrix}}\right\}\,=\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mrow> <mo fence="true" stretchy="true" symmetric="true"></mo> <mrow class="MJX-TeXAtom-ORD"> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext>kabuo</mtext> </mrow> <mspace width="thinmathspace" /> <mo>×</mo> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mtext>kabuo</mtext> </mrow> </mstyle> </mtd> </mtr> <mtr> <mtd> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext>damihin</mtext> </mrow> <mspace width="thinmathspace" /> <mo>×</mo> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mtext>parami</mtext> </mrow> </mstyle> </mtd> </mtr> </mtable> </mrow> <mo>}</mo> </mrow> <mspace width="thinmathspace" /> <mo>=</mo> <mspace width="thinmathspace" /> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \left.{\begin{matrix}\scriptstyle {\text{kabuo}}\,\times \,{\text{kabuo}}\\\scriptstyle {\text{damihin}}\,\times \,{\text{parami}}\end{matrix}}\right\}\,=\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/34905602bdd1dd131005435038f7dc21f2b779c1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:16.966ex; height:4.843ex;" alt="{\displaystyle \scriptstyle \left.{\begin{matrix}\scriptstyle {\text{kabuo}}\,\times \,{\text{kabuo}}\\\scriptstyle {\text{damihin}}\,\times \,{\text{parami}}\end{matrix}}\right\}\,=\,}"></span></td><td class="" style="text-align:left; vertical-align:middle;"><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 {\begin{matrix}\scriptstyle {\text{produkto}}\\\scriptstyle {\text{bunga}}\end{matrix}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext>produkto</mtext> </mrow> </mstyle> </mtd> </mtr> <mtr> <mtd> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext>bunga</mtext> </mrow> </mstyle> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{matrix}\scriptstyle {\text{produkto}}\\\scriptstyle {\text{bunga}}\end{matrix}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a602f4a6cc2a5e37401de593a07645637ba2da31" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:7.29ex; height:6.176ex;" alt="{\displaystyle {\begin{matrix}\scriptstyle {\text{produkto}}\\\scriptstyle {\text{bunga}}\end{matrix}}}"></span></td><td class="" style=""></td></tr><tr class=""><th colspan="4" style="text-align:center; font-size: 120%;"><a href="/wiki/Paghahati" title="Paghahati">Paghahati</a> (÷)</th></tr><tr class="" style=""><th style="display:none;"></th><td class="" style="text-align:right; vertical-align:middle;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \left.{\begin{matrix}\scriptstyle {\frac {\scriptstyle {\text{hatiin}}}{\scriptstyle {\text{pahati}}}}\\\scriptstyle {\text{ }}\\\scriptstyle {\frac {\scriptstyle {\text{panakda}}}{\scriptstyle {\text{pamahagi}}}}\end{matrix}}\right\}\,=\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mrow> <mo fence="true" stretchy="true" symmetric="true"></mo> <mrow class="MJX-TeXAtom-ORD"> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext>hatiin</mtext> </mrow> </mstyle> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext>pahati</mtext> </mrow> </mstyle> </mfrac> </mrow> </mstyle> </mtd> </mtr> <mtr> <mtd> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext> </mtext> </mrow> </mstyle> </mtd> </mtr> <mtr> <mtd> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext>panakda</mtext> </mrow> </mstyle> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext>pamahagi</mtext> </mrow> </mstyle> </mfrac> </mrow> </mstyle> </mtd> </mtr> </mtable> </mrow> <mo>}</mo> </mrow> <mspace width="thinmathspace" /> <mo>=</mo> <mspace width="thinmathspace" /> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \left.{\begin{matrix}\scriptstyle {\frac {\scriptstyle {\text{hatiin}}}{\scriptstyle {\text{pahati}}}}\\\scriptstyle {\text{ }}\\\scriptstyle {\frac {\scriptstyle {\text{panakda}}}{\scriptstyle {\text{pamahagi}}}}\end{matrix}}\right\}\,=\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/adffd543decf09f38acefd67daf48678facfc801" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -5.03ex; margin-bottom: -0.308ex; width:12.043ex; height:11.509ex;" alt="{\displaystyle \scriptstyle \left.{\begin{matrix}\scriptstyle {\frac {\scriptstyle {\text{hatiin}}}{\scriptstyle {\text{pahati}}}}\\\scriptstyle {\text{ }}\\\scriptstyle {\frac {\scriptstyle {\text{panakda}}}{\scriptstyle {\text{pamahagi}}}}\end{matrix}}\right\}\,=\,}"></span></td><td class="" style="text-align:left; vertical-align:middle;"><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 {\begin{matrix}\scriptstyle {\text{hatimbilang}}\\\scriptstyle {\text{kosyente}}\\\scriptstyle {\text{kahatian}}\\\scriptstyle {\text{tagway}}\end{matrix}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext>hatimbilang</mtext> </mrow> </mstyle> </mtd> </mtr> <mtr> <mtd> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext>kosyente</mtext> </mrow> </mstyle> </mtd> </mtr> <mtr> <mtd> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext>kahatian</mtext> </mrow> </mstyle> </mtd> </mtr> <mtr> <mtd> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext>tagway</mtext> </mrow> </mstyle> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{matrix}\scriptstyle {\text{hatimbilang}}\\\scriptstyle {\text{kosyente}}\\\scriptstyle {\text{kahatian}}\\\scriptstyle {\text{tagway}}\end{matrix}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a1febb110a5041082c46cb9035776e5ac52da997" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -5.671ex; width:9.34ex; height:12.509ex;" alt="{\displaystyle {\begin{matrix}\scriptstyle {\text{hatimbilang}}\\\scriptstyle {\text{kosyente}}\\\scriptstyle {\text{kahatian}}\\\scriptstyle {\text{tagway}}\end{matrix}}}"></span></td><td class="" style=""><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 {\begin{matrix}\scriptstyle {\text{ }}\\\scriptstyle {\text{ }}\\\scriptstyle {\text{butal}}\\\scriptstyle {\text{ }}\\\scriptstyle {\text{ }}\end{matrix}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext> </mtext> </mrow> </mstyle> </mtd> </mtr> <mtr> <mtd> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext> </mtext> </mrow> </mstyle> </mtd> </mtr> <mtr> <mtd> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext>butal</mtext> </mrow> </mstyle> </mtd> </mtr> <mtr> <mtd> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext> </mtext> </mrow> </mstyle> </mtd> </mtr> <mtr> <mtd> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext> </mtext> </mrow> </mstyle> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{matrix}\scriptstyle {\text{ }}\\\scriptstyle {\text{ }}\\\scriptstyle {\text{butal}}\\\scriptstyle {\text{ }}\\\scriptstyle {\text{ }}\end{matrix}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f20775ddd2ee6f7d37085ca8c17de63b7e4f987a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -7.338ex; width:4.498ex; height:15.843ex;" alt="{\displaystyle {\begin{matrix}\scriptstyle {\text{ }}\\\scriptstyle {\text{ }}\\\scriptstyle {\text{butal}}\\\scriptstyle {\text{ }}\\\scriptstyle {\text{ }}\end{matrix}}}"></span></td></tr><tr class=""><th colspan="4" style="text-align:center; font-size: 120%;"><a href="/wiki/Pagpapalakas_(matematika)" title="Pagpapalakas (matematika)">Pagpapalakas</a></th></tr><tr class="" style=""><th style="display:none;"></th><td class="" style="text-align:right; vertical-align:middle;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle {\text{base}}^{\text{eksponente}}\,=\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mtext>base</mtext> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mtext>eksponente</mtext> </mrow> </msup> <mspace width="thinmathspace" /> <mo>=</mo> <mspace width="thinmathspace" /> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle {\text{base}}^{\text{eksponente}}\,=\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ba6a4f582aa8ea83f05dca3767dd859493719b39" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:11.752ex; height:2.176ex;" alt="{\displaystyle \scriptstyle {\text{base}}^{\text{eksponente}}\,=\,}"></span></td><td class="" style="text-align:left; vertical-align:middle;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle {\text{lakas}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext>lakas</mtext> </mrow> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle {\text{lakas}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/436d25b2ba0840504304f3bc79b7074b858c4a9f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.617ex; height:1.676ex;" alt="{\displaystyle \scriptstyle {\text{lakas}}}"></span></td><td class="" style=""></td></tr><tr class=""><th colspan="4" style="text-align:center; font-size: 120%;"><a href="/wiki/Ugat_(matematika)" title="Ugat (matematika)">Ugat</a> (√)</th></tr><tr class="" style=""><th style="display:none;"></th><td class="" style="text-align:right; vertical-align:middle;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle {\sqrt[{\text{antas}}]{\scriptstyle {\text{radikando}}}}\,=\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mroot> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext>radikando</mtext> </mrow> </mstyle> <mrow class="MJX-TeXAtom-ORD"> <mtext>antas</mtext> </mrow> </mroot> </mrow> <mspace width="thinmathspace" /> <mo>=</mo> <mspace width="thinmathspace" /> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle {\sqrt[{\text{antas}}]{\scriptstyle {\text{radikando}}}}\,=\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/47dac94b774ac588a64824c33613709726d4e698" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:12.785ex; height:2.509ex;" alt="{\displaystyle \scriptstyle {\sqrt[{\text{antas}}]{\scriptstyle {\text{radikando}}}}\,=\,}"></span></td><td class="" style="text-align:left; vertical-align:middle;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle {\text{ugat}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext>ugat</mtext> </mrow> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle {\text{ugat}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/57a45fa6334e6cce36b32fbce9bd58f33494ac5e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.198ex; height:2.009ex;" alt="{\displaystyle \scriptstyle {\text{ugat}}}"></span></td><td class="" style=""></td></tr><tr class=""><th colspan="4" style="text-align:center; font-size: 120%;"><a href="/wiki/Logaritmo" title="Logaritmo">Logaritmo</a> (log)</th></tr><tr class="" style=""><th style="display:none;"></th><td class="" style="text-align:right; vertical-align:middle;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle \log _{\text{base}}({\text{lakas}})\,=\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext>base</mtext> </mrow> </msub> <mo>⁡</mo> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mtext>lakas</mtext> </mrow> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> <mo>=</mo> <mspace width="thinmathspace" /> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle \log _{\text{base}}({\text{lakas}})\,=\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9f8f31fb66846e8a6cc192996ec00438d006fcb5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:11.743ex; height:2.176ex;" alt="{\displaystyle \scriptstyle \log _{\text{base}}({\text{lakas}})\,=\,}"></span></td><td class="" style="text-align:left; vertical-align:middle;"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \scriptstyle {\text{logaritmo}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mstyle displaystyle="false" scriptlevel="1"> <mrow class="MJX-TeXAtom-ORD"> <mtext>logaritmo</mtext> </mrow> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \scriptstyle {\text{logaritmo}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e205ea765745d44755ddd8661b2117ccb4a61578" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:6.856ex; height:2.009ex;" alt="{\displaystyle \scriptstyle {\text{logaritmo}}}"></span></td><td class="" style=""></td></tr> </tbody></table></td> </tr><tr><td style="text-align:right;font-size:115%"><style data-mw-deduplicate="TemplateStyles:r1843287">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}.mw-parser-output .infobox .navbar{font-size:100%}.mw-parser-output .navbox .navbar{display:block;font-size:100%}.mw-parser-output .navbox-title .navbar{float:left;text-align:left;margin-right:0.5em}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-tingnan"><a href="/wiki/Padron:Sidebar" title="Padron:Sidebar"><abbr title="Tingnan ang padron">t</abbr></a></li><li class="nv-usapan"><a href="/w/index.php?title=Usapang_padron:Sidebar&action=edit&redlink=1" class="new" title="Usapang padron:Sidebar (hindi pa naisusulat)"><abbr title="Pag-usapan ang padron">u</abbr></a></li><li class="nv-baguhin"><a class="external text" href="https://tl.wikipedia.org/w/index.php?title=Padron:Sidebar&action=edit"><abbr title="Baguhin ang padron">b</abbr></a></li></ul></div></td></tr></tbody></table><p>Sa <a href="/wiki/Matematika" title="Matematika">matematika</a>, ang <b>pagpaparami</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>, <b>palambal</b> o <b>multiplikasyon</b> (mula <a href="/wiki/Wikang_Kastila" title="Wikang Kastila">Kastila</a> <i>multiplicación</i>) ay isa sa apat na pangunahing <a href="/wiki/Operasyon_(matematika)" title="Operasyon (matematika)">operasyon</a> ng <a href="/wiki/Aritmetika" title="Aritmetika">aritmetika</a>. Sinisimbolo ito ng <a href="/w/index.php?title=Tandang_pamparami&action=edit&redlink=1" class="new" title="Tandang pamparami (hindi pa naisusulat)">tandang pamparami</a> (<i>multiplication sign</i>) - madalas sa anyong pa-ekis na "<b>×</b>", ngunit maaari ring isulat bilang isang gitnang tuldok na "<b>⋅</b>" (ginagamit kadalasan sa <a href="/wiki/Mataas_na_paaralan" title="Mataas na paaralan">mataas na paaralan</a>) o di kaya'y isang <a href="/w/index.php?title=Asterisko&action=edit&redlink=1" class="new" title="Asterisko (hindi pa naisusulat)">asterisko</a>, "<b>*</b>" (ginagamit sa mga <a href="/wiki/Wikang_pamprograma" title="Wikang pamprograma">wikang pamprograma</a> at <a href="/wiki/Kompyuter" title="Kompyuter">kompyuter</a>). </p><p>Tinatawag na <i>produkto</i> o <i>bunga<sup id="cite_ref-:0_2-0" class="reference"><a href="#cite_note-:0-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup></i> ang resulta ng operasyon. Ang bilang naman na pararamihin ay tinatawag na <i>damihin</i>.<sup id="cite_ref-:1_3-0" class="reference"><a href="#cite_note-:1-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> <i>Parami</i> naman ang tawag sa bilang na magpaparami sa damihin.<sup id="cite_ref-:2_4-0" class="reference"><a href="#cite_note-:2-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> Magkasama silang tinatawag na <i>kabuo</i>.<sup id="cite_ref-:3_5-0" class="reference"><a href="#cite_note-:3-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> </p> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Talaksan:Multiplication_as_scaling_integers.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/02/Multiplication_as_scaling_integers.gif/220px-Multiplication_as_scaling_integers.gif" decoding="async" width="220" height="110" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/02/Multiplication_as_scaling_integers.gif/330px-Multiplication_as_scaling_integers.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/0/02/Multiplication_as_scaling_integers.gif 2x" data-file-width="400" data-file-height="200" /></a><figcaption>Isang <a href="/wiki/Animasyon" title="Animasyon">animasyon</a> para sa ekspresyong <b><span class="texhtml texhtml-big" style="font-size:100%;">2 × 3 = 6</span></b>.</figcaption></figure> <p>Maaaring itulad ang proseso ng pagpaparami ng mga <a href="/wiki/Buumbilang" title="Buumbilang">buumbilang</a> (<i>whole number</i>) sa paulit-ulit na <a href="/wiki/Pagdaragdag" title="Pagdaragdag">pagdaragdag</a> - ibig sabihin, ang pagpaparami sa dalawang bilang ay katulad lamang ng paulit-ulit na pagdagdag ng damihin sa sarili nito nang ilang beses depende sa parami. </p><p><span class="nowrap">      </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 a\times b=\underbrace {b+\cdots +b} _{a{\text{ (na) beses}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>×</mo> <mi>b</mi> <mo>=</mo> <munder> <mrow class="MJX-TeXAtom-OP MJX-fixedlimits"> <munder> <mrow> <mi>b</mi> <mo>+</mo> <mo>⋯</mo> <mo>+</mo> <mi>b</mi> </mrow> <mo>⏟</mo> </munder> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mtext> (na) beses</mtext> </mrow> </mrow> </munder> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a\times b=\underbrace {b+\cdots +b} _{a{\text{ (na) beses}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1c5d951f8e09c1f03e4628e1ce7ef942f6a7d5ff" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.338ex; margin-right: -0.028ex; width:18.593ex; height:6.176ex;" alt="{\displaystyle a\times b=\underbrace {b+\cdots +b} _{a{\text{ (na) beses}}}}"></span> </p><p>Bilang halimbawa, maaari ring ikalkula 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 4\times 3}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>4</mn> <mo>×</mo> <mn>3</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 4\times 3}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/49de1a2b7cbca0fccbb7e119e68fd225383da5a5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.165ex; height:2.176ex;" alt="{\displaystyle 4\times 3}"></span> (binabásang "<i>apat pinarami nang 3 beses</i>") sa paraang ito: </p><p><span class="nowrap">      </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\times 3=\underbrace {4+4+4} _{3{\text{ beses}}}=12}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>4</mn> <mo>×</mo> <mn>3</mn> <mo>=</mo> <munder> <mrow class="MJX-TeXAtom-OP MJX-fixedlimits"> <munder> <mrow> <mn>4</mn> <mo>+</mo> <mn>4</mn> <mo>+</mo> <mn>4</mn> </mrow> <mo>⏟</mo> </munder> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> <mrow class="MJX-TeXAtom-ORD"> <mtext> beses</mtext> </mrow> </mrow> </munder> <mo>=</mo> <mn>12</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 4\times 3=\underbrace {4+4+4} _{3{\text{ beses}}}=12}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6f572ec30ca0c010f27a6e26172c50a3a90fb57f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.005ex; width:22.855ex; height:5.843ex;" alt="{\displaystyle 4\times 3=\underbrace {4+4+4} _{3{\text{ beses}}}=12}"></span> </p><p>Sa ekspresyong ito, ang 4 at 3 ay ang mga <i>kabuo</i>, samantalang 12 naman ang naging <i>produkto</i> nito.<sup id="cite_ref-Devlin_6-0" class="reference"><a href="#cite_note-Devlin-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> </p><p>Sa pagbabasa ng pagpaparami, maaari ring lagyan ng <i>-ng</i>, <i>-g</i>, o <i>na</i><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> ang damihin tulad ng “<i>apat na tatlo”.</i> Maaari ring lagyan din ng gitlaping <i>-in-</i><sup id="cite_ref-:4_8-0" class="reference"><a href="#cite_note-:4-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> ang parami tulad ng “<i>apat na tinatlo”.</i> Unlaping <i>in-</i><sup id="cite_ref-:4_8-1" class="reference"><a href="#cite_note-:4-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> naman ang gagamitin kapag ang parami ay nagsisimula sa patinig tulad ng <i>apat (inapat)</i> at <i>anim (inanim)</i>. </p><p>May mga katangian ang pagpaparami. Ang pagpapalit-puwesto (<a href="/w/index.php?title=Katangiang_komutatibo&action=edit&redlink=1" class="new" title="Katangiang komutatibo (hindi pa naisusulat)">komutatibo</a>) ng mga kabuo ay hindi nakakaapekto sa resulta ng operasyon, tulad ng sa pagdaragdag. </p><p><span class="nowrap">      </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\times 4=\underbrace {3+3+3+3} _{4{\text{ na beses}}}=12}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> <mo>×</mo> <mn>4</mn> <mo>=</mo> <munder> <mrow class="MJX-TeXAtom-OP MJX-fixedlimits"> <munder> <mrow> <mn>3</mn> <mo>+</mo> <mn>3</mn> <mo>+</mo> <mn>3</mn> <mo>+</mo> <mn>3</mn> </mrow> <mo>⏟</mo> </munder> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>4</mn> <mrow class="MJX-TeXAtom-ORD"> <mtext> na beses</mtext> </mrow> </mrow> </munder> <mo>=</mo> <mn>12</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3\times 4=\underbrace {3+3+3+3} _{4{\text{ na beses}}}=12}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d93275271589604fa2556812445ecde530779712" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.838ex; width:26.858ex; height:5.676ex;" alt="{\displaystyle 3\times 4=\underbrace {3+3+3+3} _{4{\text{ na beses}}}=12}"></span> </p><p>Maaaring ilarawan ang pagpaparami gamit ang pagbibilang sa mga bagay na nakaayos sa isang <a href="/wiki/Parihaba" title="Parihaba">parihaba</a> (para sa mga buumbilang) dahil ang paghahanap sa sagot sa <a href="/wiki/Sukat" title="Sukat">lawak</a> (<i>area</i>) 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 l\times h}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>l</mi> <mo>×</mo> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle l\times h}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ff9c3f8b2e5411e39e81254448ac1aafc24a6b88" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.873ex; height:2.176ex;" alt="{\displaystyle l\times h}"></span>) ay katumbas sa kabuuang bilang ng mga bagay na nasa loob nito (basta ba napunan ang lahat ng hilera't hanay). Dahil sa katangian ng pagpapalit-puwesto, hindi naapektuhan ang magiging resulta ng paghahanap sa lawak ng isang parihaba. </p><p><a href="/w/index.php?title=Katangiang_asosyatibo&action=edit&redlink=1" class="new" title="Katangiang asosyatibo (hindi pa naisusulat)">Asosyatibo</a> ang pagpaparami. Ibig sabihin, hindi nagbabago ang resulta ng operasyon kahit na unahin ang isang pares ng mga kabuo kaysa sa isa pa. </p> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Talaksan:Multiply_field_fract.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fc/Multiply_field_fract.svg/220px-Multiply_field_fract.svg.png" decoding="async" width="220" height="132" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fc/Multiply_field_fract.svg/330px-Multiply_field_fract.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fc/Multiply_field_fract.svg/440px-Multiply_field_fract.svg.png 2x" data-file-width="1000" data-file-height="600" /></a><figcaption>Representasyon para sa lawak ng isang telang <span class="nowrap">4.5m × 2.5m</span>, na nagreresulta sa 11.25m<sup>2</sup>. Maaari ring tingnan ito bilang <span class="nowrap">4½ × 2½ = 11¼</span>.</figcaption></figure> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Talaksan:Multiplication_scheme_4_by_5.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/02/Multiplication_scheme_4_by_5.jpg/220px-Multiplication_scheme_4_by_5.jpg" decoding="async" width="220" height="176" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/02/Multiplication_scheme_4_by_5.jpg/330px-Multiplication_scheme_4_by_5.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/0/02/Multiplication_scheme_4_by_5.jpg 2x" data-file-width="423" data-file-height="338" /></a><figcaption>Isang representasyon ng <b><span class="texhtml texhtml-big" style="font-size:100%;">4 × 5 = 20</span></b>. May 20 parisukat sa loob nitong parihaba. Ang bawat <a href="/wiki/Parisukat" title="Parisukat">parisukat</a> ay may tig-iisang yunit sa parehong gilid.</figcaption></figure><p>Sa <a href="/wiki/Kasukatan" title="Kasukatan">panunukat</a>, ang produkto ng dalawang sukat ay isang bagong sukat. Halimbawa, ang pagpaparami sa dalawang haba ng isang parihaba ay magreresulta sa lawak nito. </p><p>Ang kabaligtaran ng pagpaparami ay ang <a href="/wiki/Paghahati" title="Paghahati">paghahati</a>. Halimbawa, dahil 12 ang produkto ng 4 at 3, kung hahatiin ang 12 sa 3, magreresulta ito sa 4. Sa ganito ring pananaw, kung hahatiin sa 3 ang pinarami ng 3, babalik lang ito sa bilang nito bago ito pinarami (o sa ekspresyong pangmatematika, <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\times 3=12\div 3=4}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>4</mn> <mo>×</mo> <mn>3</mn> <mo>=</mo> <mn>12</mn> <mo>÷</mo> <mn>3</mn> <mo>=</mo> <mn>4</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 4\times 3=12\div 3=4}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5c9e633267eda60d5963e09d771d623b6fca4271" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:18.852ex; height:2.176ex;" alt="{\displaystyle 4\times 3=12\div 3=4}"></span>). </p><p>May mga pansariling kahulugan ang iba't ibang uri ng bilang pagdating sa pagpaparami, tulad ng mga <a href="/wiki/Komplikadong_bilang" title="Komplikadong bilang">komplikadong bilang</a> (<i>complex number</i>) at sa mga basal (<i>abstract</i>) na bagay tulad ng mga <a href="/wiki/Baskagan_(matematika)" class="mw-redirect" title="Baskagan (matematika)">baskagan</a> (<i>matrix</i>). Di tulad ng iba, mahalaga para sa ilan sa mga uring ito ang puwesto ng bilang. </p> <div class="mw-heading mw-heading2"><h2 id="Mga_termino">Mga termino</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Pagpaparami_(matematika)&veaction=edit&section=1" title="Baguhin seksiyon: Mga termino" class="mw-editsection-visualeditor"><span>baguhin</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Pagpaparami_(matematika)&action=edit&section=1" title="Edit section's source code: Mga termino"><span>baguhin ang wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Sa mga ekspresyon ng pagpaparami na mayroon lamang dalawang termino, tinatawag na <b>damihin</b> ang bilang na pararamihin.<sup id="cite_ref-:1_3-1" class="reference"><a href="#cite_note-:1-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> Ang bilang naman na magpaparami sa damihin ay tinatawag na <b>parami</b>.<sup id="cite_ref-:2_4-1" class="reference"><a href="#cite_note-:2-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> Magkasama, tinatawag silang mga <b>kabuo</b>.<sup id="cite_ref-:3_5-1" class="reference"><a href="#cite_note-:3-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> </p><p>Gayunpaman, madalas ginagamit ang mga deribatibo ng pandiwang <i>pagdami</i> upang ipakita ang mga ito. Halimbawa, ginagamit minsan ang salitang <i>paparamihin</i> sa mga kabuo na paparamihin, at <i>magpaparami</i> naman sa kabuo na magpaparami sa paparamihin. Ginagamit din minsan ang salitang <i>beses</i> bilang isang katumbas na salita sa kabuo na magpaparami, tulad ng pangungusap na "<i>tatlo paparamihin nang limang beses</i>." </p><p>Hati ang pananaw sa kung ano nga ba talaga ang damihin at parami. Madalas itinuturing na parami ang pangalawang kabuo at ang unang bilang naman ang damihin,<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> ngunit minsan, nauuna ang parami sa damihin.<sup id="cite_ref-Devlin_6-1" class="reference"><a href="#cite_note-Devlin-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> Mapaanuman ang pananaw, dahil na rin may katangiang komutatibo ang pagpaparami, hindi masyado mahalaga ang pagtukoy sa mga ito, liban na lamang sa ilang mga <a href="/w/index.php?title=Algoritmo_ng_pagpaparami&action=edit&redlink=1" class="new" title="Algoritmo ng pagpaparami (hindi pa naisusulat)">algoritmo ng pagpaparami</a> tulad ng <a href="/w/index.php?title=Mahabaang_pagpaparami&action=edit&redlink=1" class="new" title="Mahabaang pagpaparami (hindi pa naisusulat)">mahabaang pagpaparami</a>, kaya tinutukoy madalas ang mga bilang na sangkot sa operasyong ito bilang mga "kabuo."<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> </p><p>Ang resulta ng pagpaparami ay tinatawag na <b>bunga</b><sup id="cite_ref-:0_2-1" class="reference"><a href="#cite_note-:0-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> o <b>produkto</b>. </p><p>Tinatawag na <a href="/w/index.php?title=Kaparami&action=edit&redlink=1" class="new" title="Kaparami (hindi pa naisusulat)">kaparami</a> (Ingles: <i>multiple</i>) ang produkto ng dalawang kabuo.<sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> Halimbawa, ang bunga ng 3 at 5 ay 15, kaya naman parehong mga kaparami ng 3 at 5 ang 15. </p> <div class="mw-heading mw-heading2"><h2 id="Notasyon">Notasyon</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Pagpaparami_(matematika)&veaction=edit&section=2" title="Baguhin seksiyon: Notasyon" class="mw-editsection-visualeditor"><span>baguhin</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Pagpaparami_(matematika)&action=edit&section=2" title="Edit section's source code: Notasyon"><span>baguhin ang wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Sa <a href="/wiki/Aritmetika" title="Aritmetika">aritmetika</a>, madalas isinusulat ang pagpaparami gamit ang tandang pamparami sa anyong pa-ekis 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="{\textstyle \times }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mo>×</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\textstyle \times }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a861c295829423c558e8170d4d58e81c52430995" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: 0.019ex; margin-bottom: -0.19ex; width:1.808ex; height:1.509ex;" alt="{\textstyle \times }"></span>" sa pagitan ng mga kabuo. Halimbawa: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2\times 3=6}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <mo>×</mo> <mn>3</mn> <mo>=</mo> <mn>6</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2\times 3=6}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4b249223f0c54e210f6ceeea7ee975b852460448" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:9.426ex; height:2.176ex;" alt="{\displaystyle 2\times 3=6}"></span> ("<i>dalawa pinarami nang tatlong beses ay anim</i>", “<i>dalawang tatlo ay anim</i>”, “<i>dalawang tinatlo ay anim</i>”)</dd> <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 3\times 4=12}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> <mo>×</mo> <mn>4</mn> <mo>=</mo> <mn>12</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3\times 4=12}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/97a96517fcb6173c109e2716e7e3742fab069176" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:10.589ex; height:2.176ex;" alt="{\displaystyle 3\times 4=12}"></span> ("<i>tatlo pinarami nang apat na beses ay labindalawa</i>", “<i>tatlong apat ay labindalawa</i>”, “<i>tatlong inapat ay labindalawa</i>”)</dd> <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 6\times 5=30}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>6</mn> <mo>×</mo> <mn>5</mn> <mo>=</mo> <mn>30</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 6\times 5=30}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b98c8302987b7ae45156c7e50a84e2e538645d5b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:10.589ex; height:2.176ex;" alt="{\displaystyle 6\times 5=30}"></span> ("<i>anim pinarami nang limang beses ay tatlumpu</i>", “<i>anim na lima ay tatlumpu</i>”, “<i>anim na linima ay tatlumpu</i>”)</dd></dl> <p>Bukod sa ekis, ginagamit din ang ibang mga simbolo para ipakita ang operasyon: </p> <ul><li>Madalas ginagamit sa mataas na paaralan, dahil na rin maaari itong ikalito sa baryabol 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 x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle x}"></span> na madalas gamitin sa <a href="/wiki/Alhebra" title="Alhebra">alhebra</a>, ang gitnang tuldok na "⋅".</li></ul> <ul><li>Sa alhebra, ang pagpaparami sa mga ekspresyong may baryabol ay isinusulat nang magkadikit sa isa't isa (tulad 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 5x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>5</mn> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 5x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5adce1d349cd87969996dd19d6f1c75a30926372" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.492ex; height:2.176ex;" alt="{\displaystyle 5x}"></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 xy}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mi>y</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle xy}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c72eb345e496513fb8b2fa4aa8c4d89b855f9a01" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.485ex; height:2.009ex;" alt="{\displaystyle xy}"></span>). Sa Ingles, kilala itong <i>implied multiplication</i> ("alam na paparamihin").<sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> Maaari rin itong gamitin para sa mga kantidad (<i>quantity</i>) na nasa loob ng mga <a href="/wiki/Panaklong" title="Panaklong">panaklong</a> (hal. <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(2)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>5</mn> <mo stretchy="false">(</mo> <mn>2</mn> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 5(2)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2a7ec534cae3d03d91782f05db0228f8fa7e1fb2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.134ex; height:2.843ex;" alt="{\displaystyle 5(2)}"></span> o <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)(2)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mn>5</mn> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mn>2</mn> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (5)(2)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c2a9191aab090aa424333c85aa878258d675f945" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.944ex; height:2.843ex;" alt="{\displaystyle (5)(2)}"></span> para sa "<i>lima pinarami nang 2 beses</i>"), dahil maaari itong ipagkamali sa mga <a href="/wiki/Bunin" class="mw-redirect" title="Bunin">bunin</a> (<i>function</i>), na nakasulat 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 f(x)=y}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>y</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f(x)=y}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0a5080a8b0a963407ea74ffa50702563771518d1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:8.672ex; height:2.843ex;" alt="{\displaystyle f(x)=y}"></span>. Maaaring magkaproblema rin sa tamang <a href="/wiki/Ayos_ng_operasyon" title="Ayos ng operasyon">ayos ng operasyon</a> (PEMDAS) ang mga nakasulat sa ganitong anyo.</li> <li>Sa <a href="/w/index.php?title=Pagpaparaming_pambektor&action=edit&redlink=1" class="new" title="Pagpaparaming pambektor (hindi pa naisusulat)">pagpaparaming pambektor</a> (<i>vector multiplication</i>), may pinagkaiba ang mga simbolong ekis at gitnang tuldok. Sinisimbolo ng ekis ang <a href="/w/index.php?title=Produktong_pa-ekis&action=edit&redlink=1" class="new" title="Produktong pa-ekis (hindi pa naisusulat)">produktong pa-krus</a> (<i>cross product</i>) ng dalawang <a href="/wiki/Bektor" class="mw-disambig" title="Bektor">bektor</a>, na nagreresulta sa isa pang bektor, samantalang nagreresulta naman sa isang <a href="/w/index.php?title=Iskala_(matematika)&action=edit&redlink=1" class="new" title="Iskala (matematika) (hindi pa naisusulat)">iskala</a> (<i>scalar</i>) ang pagkuha sa <a href="/w/index.php?title=Produktong_patuldok&action=edit&redlink=1" class="new" title="Produktong patuldok (hindi pa naisusulat)">produktong patuldok</a> ng dalawang bektor.</li></ul> <p>Ginagamit ng karamihan ng mga <a href="/wiki/Wikang_pamprograma" title="Wikang pamprograma">wikang pamprograma</a> ang <a href="/w/index.php?title=Asterisko&action=edit&redlink=1" class="new" title="Asterisko (hindi pa naisusulat)">asterisko</a> ("*") upang maipakita ang operasyon ng pagpaparami. Ito'y dahil limitado lamang sa isang pangkat ng mga karakter (<i>character sets</i>) tulad ng <a href="/w/index.php?title=ASCII&action=edit&redlink=1" class="new" title="ASCII (hindi pa naisusulat)">ASCII</a> at <a href="/w/index.php?title=EBCDIC&action=edit&redlink=1" class="new" title="EBCDIC (hindi pa naisusulat)">EBCDIC</a> ang mga <a href="/wiki/Kompyuter" title="Kompyuter">kompyuter</a> simula pa noon - di kasama kalimitan sa pangkat na iyon ang parehong mga simbolong ekis at tuldok, ngunit malimit na isinasali ang asterisko sa mga ito. Una itong ginawa ng wikang <a href="/w/index.php?title=FORTRAN&action=edit&redlink=1" class="new" title="FORTRAN (hindi pa naisusulat)">FORTRAN</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Mga_sanggunian">Mga sanggunian</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Pagpaparami_(matematika)&veaction=edit&section=3" title="Baguhin seksiyon: Mga sanggunian" class="mw-editsection-visualeditor"><span>baguhin</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Pagpaparami_(matematika)&action=edit&section=3" title="Edit section's source code: Mga sanggunian"><span>baguhin ang wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles: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 class="citation web cs1"><a rel="nofollow" class="external text" href="http://diksiyonaryo.ph/search/pagpaparami">"pagpaparami"</a>. <i>Diksiyonaryo.ph</i><span class="reference-accessdate">. Nakuha noong <span class="nowrap">Nobyembre 7,</span> 2020</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Diksiyonaryo.ph&rft.atitle=pagpaparami&rft_id=http%3A%2F%2Fdiksiyonaryo.ph%2Fsearch%2Fpagpaparami&rfr_id=info%3Asid%2Ftl.wikipedia.org%3APagpaparami+%28matematika%29" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Padron:Cite_web" title="Padron:Cite web">cite web</a>}}</code>: CS1 maint: date auto-translated (<a href="/wiki/Kategorya:CS1_maint:_date_auto-translated" title="Kategorya:CS1 maint: date auto-translated">link</a>)</span></span> </li> <li id="cite_note-:0-2"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-:0_2-0">2.0</a></sup> <sup><a href="#cite_ref-:0_2-1">2.1</a></sup></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731"><cite class="citation web cs1 cs1-prop-foreign-lang-source"><a rel="nofollow" class="external text" href="https://glosbe.com/tl/en/bunga">"bunga"</a>. <i>Glosbe</i> (sa wikang Ingles)<span class="reference-accessdate">. Nakuha noong <span class="nowrap">Disyembre 16,</span> 2020</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Glosbe&rft.atitle=bunga&rft_id=https%3A%2F%2Fglosbe.com%2Ftl%2Fen%2Fbunga&rfr_id=info%3Asid%2Ftl.wikipedia.org%3APagpaparami+%28matematika%29" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Padron:Cite_web" title="Padron:Cite web">cite web</a>}}</code>: CS1 maint: date auto-translated (<a href="/wiki/Kategorya:CS1_maint:_date_auto-translated" title="Kategorya:CS1 maint: date auto-translated">link</a>)</span></span> </li> <li id="cite_note-:1-3"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-:1_3-0">3.0</a></sup> <sup><a href="#cite_ref-:1_3-1">3.1</a></sup></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731"><cite class="citation web cs1 cs1-prop-foreign-lang-source"><a rel="nofollow" class="external text" href="https://glosbe.com/tl/en/damihin">"damihin"</a>. <i>Glosbe</i> (sa wikang Ingles)<span class="reference-accessdate">. Nakuha noong <span class="nowrap">Disyembre 16,</span> 2020</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Glosbe&rft.atitle=damihin&rft_id=https%3A%2F%2Fglosbe.com%2Ftl%2Fen%2Fdamihin&rfr_id=info%3Asid%2Ftl.wikipedia.org%3APagpaparami+%28matematika%29" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Padron:Cite_web" title="Padron:Cite web">cite web</a>}}</code>: CS1 maint: date auto-translated (<a href="/wiki/Kategorya:CS1_maint:_date_auto-translated" title="Kategorya:CS1 maint: date auto-translated">link</a>)</span></span> </li> <li id="cite_note-:2-4"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-:2_4-0">4.0</a></sup> <sup><a href="#cite_ref-:2_4-1">4.1</a></sup></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731"><cite class="citation web cs1 cs1-prop-foreign-lang-source"><a rel="nofollow" class="external text" href="https://glosbe.com/tl/en/parami">"parami"</a>. <i>Glosbe</i> (sa wikang Ingles)<span class="reference-accessdate">. Nakuha noong <span class="nowrap">Disyembre 16,</span> 2020</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Glosbe&rft.atitle=parami&rft_id=https%3A%2F%2Fglosbe.com%2Ftl%2Fen%2Fparami&rfr_id=info%3Asid%2Ftl.wikipedia.org%3APagpaparami+%28matematika%29" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Padron:Cite_web" title="Padron:Cite web">cite web</a>}}</code>: CS1 maint: date auto-translated (<a href="/wiki/Kategorya:CS1_maint:_date_auto-translated" title="Kategorya:CS1 maint: date auto-translated">link</a>)</span></span> </li> <li id="cite_note-:3-5"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-:3_5-0">5.0</a></sup> <sup><a href="#cite_ref-:3_5-1">5.1</a></sup></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731"><cite class="citation web cs1 cs1-prop-foreign-lang-source"><a rel="nofollow" class="external text" href="https://glosbe.com/tl/en/kabuo">"kabuo"</a>. <i>Glosbe</i> (sa wikang Ingles)<span class="reference-accessdate">. Nakuha noong <span class="nowrap">Disyembre 16,</span> 2020</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Glosbe&rft.atitle=kabuo&rft_id=https%3A%2F%2Fglosbe.com%2Ftl%2Fen%2Fkabuo&rfr_id=info%3Asid%2Ftl.wikipedia.org%3APagpaparami+%28matematika%29" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Padron:Cite_web" title="Padron:Cite web">cite web</a>}}</code>: CS1 maint: date auto-translated (<a href="/wiki/Kategorya:CS1_maint:_date_auto-translated" title="Kategorya:CS1 maint: date auto-translated">link</a>)</span></span> </li> <li id="cite_note-Devlin-6"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-Devlin_6-0">6.0</a></sup> <sup><a href="#cite_ref-Devlin_6-1">6.1</a></sup></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731"><cite id="CITEREFDevlin2011" class="citation web cs1 cs1-prop-foreign-lang-source">Devlin, Keith (Enero 2011). <a rel="nofollow" class="external text" href="http://www.maa.org/external_archive/devlin/devlin_01_11.html">"What Exactly is Multiplication?"</a> [Ano ba Talaga ang Pagpaparami?] (sa wikang Ingles). Mathematical Association of America. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20170527070801/http://www.maa.org/external_archive/devlin/devlin_01_11.html">Inarkibo</a> mula sa orihinal noong Mayo 27, 2017<span class="reference-accessdate">. Nakuha noong <span class="nowrap">Nobyembre 7,</span> 2020</span>. <q>With multiplication you have a multiplicand (written second) multiplied by a multiplier (written first) (<i>Sa [operasyon ng] pagpaparami, paparamihin ng beses (unang isinusulat) ang paparamihin (pangalawang isinusulat).</i>)</q></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=What+Exactly+is+Multiplication%3F&rft.pub=Mathematical+Association+of+America&rft.date=2011-01&rft.aulast=Devlin&rft.aufirst=Keith&rft_id=http%3A%2F%2Fwww.maa.org%2Fexternal_archive%2Fdevlin%2Fdevlin_01_11.html&rfr_id=info%3Asid%2Ftl.wikipedia.org%3APagpaparami+%28matematika%29" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Padron:Cite_web" title="Padron:Cite web">cite web</a>}}</code>: CS1 maint: date auto-translated (<a href="/wiki/Kategorya:CS1_maint:_date_auto-translated" title="Kategorya:CS1 maint: date auto-translated">link</a>)</span></span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><a href="#cite_ref-7">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731"><cite id="CITEREFde_Totanes1850" class="citation web cs1">de Totanes, Sebastian (1850). <a rel="nofollow" class="external text" href="https://books.google.com.ph/books?id=43UE_rUAnzEC&printsec=frontcover&source=gbs_ge_summary_r&cad=0#v=snippet&q=2%20veces%203&f=false">"Arte de la Lengua Tagala"</a>. <i>Google Books</i><span class="reference-accessdate">. Nakuha noong <span class="nowrap">Enero 4,</span> 2023</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Google+Books&rft.atitle=Arte+de+la+Lengua+Tagala&rft.date=1850&rft.aulast=de+Totanes&rft.aufirst=Sebastian&rft_id=https%3A%2F%2Fbooks.google.com.ph%2Fbooks%3Fid%3D43UE_rUAnzEC%26printsec%3Dfrontcover%26source%3Dgbs_ge_summary_r%26cad%3D0%23v%3Dsnippet%26q%3D2%2520veces%25203%26f%3Dfalse&rfr_id=info%3Asid%2Ftl.wikipedia.org%3APagpaparami+%28matematika%29" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Padron:Cite_web" title="Padron:Cite web">cite web</a>}}</code>: CS1 maint: date auto-translated (<a href="/wiki/Kategorya:CS1_maint:_date_auto-translated" title="Kategorya:CS1 maint: date auto-translated">link</a>)</span></span> </li> <li id="cite_note-:4-8"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-:4_8-0">8.0</a></sup> <sup><a href="#cite_ref-:4_8-1">8.1</a></sup></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731"><cite id="CITEREFde_San_Agustin1787" class="citation web cs1">de San Agustin, Gaspar (1787). <a rel="nofollow" class="external text" href="https://books.google.com.ph/books?id=PK5FAAAAcAAJ&printsec=frontcover&source=gbs_ge_summary_r&cad=0#v=onepage&q=Tatlohin&f=false">"Compendio de la Arte de la Lengua Tagala"</a>. <i>Google Books</i><span class="reference-accessdate">. Nakuha noong <span class="nowrap">Enero 4,</span> 2023</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Google+Books&rft.atitle=Compendio+de+la+Arte+de+la+Lengua+Tagala&rft.date=1787&rft.aulast=de+San+Agustin&rft.aufirst=Gaspar&rft_id=https%3A%2F%2Fbooks.google.com.ph%2Fbooks%3Fid%3DPK5FAAAAcAAJ%26printsec%3Dfrontcover%26source%3Dgbs_ge_summary_r%26cad%3D0%23v%3Donepage%26q%3DTatlohin%26f%3Dfalse&rfr_id=info%3Asid%2Ftl.wikipedia.org%3APagpaparami+%28matematika%29" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Padron:Cite_web" title="Padron:Cite web">cite web</a>}}</code>: CS1 maint: date auto-translated (<a href="/wiki/Kategorya:CS1_maint:_date_auto-translated" title="Kategorya:CS1 maint: date auto-translated">link</a>)</span></span> </li> <li id="cite_note-9"><span class="mw-cite-backlink"><a href="#cite_ref-9">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731"><cite id="CITEREFCrewton_Ramone" class="citation web cs1 cs1-prop-foreign-lang-source">Crewton Ramone. <a rel="nofollow" class="external text" href="http://www.crewtonramoneshouseofmath.com/multiplicand-and-multiplier.html">"Multiplicand and Multiplier"</a> [[Ang] Paparamihin at [ang] Beses] (sa wikang Ingles). Crewton Ramone's House of Math. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20151026161239/http://www.crewtonramoneshouseofmath.com/multiplicand-and-multiplier.html">Inarkibo</a> mula sa orihinal noong Oktubre 26, 2015<span class="reference-accessdate">. Nakuha noong <span class="nowrap">Nobyembre 7,</span> 2020</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Multiplicand+and+Multiplier&rft.pub=Crewton+Ramone%27s+House+of+Math&rft.au=Crewton+Ramone&rft_id=http%3A%2F%2Fwww.crewtonramoneshouseofmath.com%2Fmultiplicand-and-multiplier.html&rfr_id=info%3Asid%2Ftl.wikipedia.org%3APagpaparami+%28matematika%29" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Padron:Cite_web" title="Padron:Cite web">cite web</a>}}</code>: CS1 maint: date auto-translated (<a href="/wiki/Kategorya:CS1_maint:_date_auto-translated" title="Kategorya:CS1 maint: date auto-translated">link</a>)</span>.</span> </li> <li id="cite_note-10"><span class="mw-cite-backlink"><a href="#cite_ref-10">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731"><cite id="CITEREFChester_Litvin2012" class="citation book cs1">Chester Litvin (2012). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=-ULmPYAA8voC&q=Can+the+multiplicand+be+the+first+number&pg=PA6"><i>Advance Brain Stimulation by Psychoconduction</i></a> [<i>Mataas na Pagpapasigla sa Utak gamit ng Sikokonduksiyon</i>]. pp. 2–3, 5–6. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Natatangi:Mga_pinagmulang_aklat/978-1-4669-0152-0" title="Natatangi:Mga pinagmulang aklat/978-1-4669-0152-0"><bdi>978-1-4669-0152-0</bdi></a> – sa pamamagitan ni/ng Google Book Search.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Advance+Brain+Stimulation+by+Psychoconduction&rft.pages=2-3%2C+5-6&rft.date=2012&rft.isbn=978-1-4669-0152-0&rft.au=Chester+Litvin&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3D-ULmPYAA8voC%26q%3DCan%2Bthe%2Bmultiplicand%2Bbe%2Bthe%2Bfirst%2Bnumber%26pg%3DPA6&rfr_id=info%3Asid%2Ftl.wikipedia.org%3APagpaparami+%28matematika%29" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Padron:Cite_book" title="Padron:Cite book">cite book</a>}}</code>: CS1 maint: date auto-translated (<a href="/wiki/Kategorya:CS1_maint:_date_auto-translated" title="Kategorya:CS1 maint: date auto-translated">link</a>)</span></span> </li> <li id="cite_note-11"><span class="mw-cite-backlink"><a href="#cite_ref-11">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731"><cite class="citation web cs1 cs1-prop-foreign-lang-source"><a rel="nofollow" class="external text" href="https://glosbe.com/tl/en/kaparami">"kaparami"</a>. <i>Glosbe</i> (sa wikang Ingles)<span class="reference-accessdate">. Nakuha noong <span class="nowrap">Disyembre 16,</span> 2020</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Glosbe&rft.atitle=kaparami&rft_id=https%3A%2F%2Fglosbe.com%2Ftl%2Fen%2Fkaparami&rfr_id=info%3Asid%2Ftl.wikipedia.org%3APagpaparami+%28matematika%29" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Padron:Cite_web" title="Padron:Cite web">cite web</a>}}</code>: CS1 maint: date auto-translated (<a href="/wiki/Kategorya:CS1_maint:_date_auto-translated" title="Kategorya:CS1 maint: date auto-translated">link</a>)</span></span> </li> <li id="cite_note-12"><span class="mw-cite-backlink"><a href="#cite_ref-12">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731"><cite class="citation book cs1 cs1-prop-foreign-lang-source"><a rel="nofollow" class="external text" href="http://www.datamath.net/Leaflets/TI-88_Announcement.pdf"><i>Announcing the TI Programmable 88!</i></a> [<i>Inaanunsyo ang Tl Programmable 88!</i>] <span class="cs1-format">(PDF)</span> (sa wikang Ingles). Texas Instruments. 1982–1983. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20170803091337/http://www.datamath.net/Leaflets/TI-88_Announcement.pdf">Inarkibo</a> <span class="cs1-format">(PDF)</span> mula sa orihinal noong Agosto 3, 2017<span class="reference-accessdate">. Nakuha noong <span class="nowrap">Nobyembre 7,</span> 2020</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Announcing+the+TI+Programmable+88%21&rft.pub=Texas+Instruments&rft.date=1982%2F1983&rft_id=http%3A%2F%2Fwww.datamath.net%2FLeaflets%2FTI-88_Announcement.pdf&rfr_id=info%3Asid%2Ftl.wikipedia.org%3APagpaparami+%28matematika%29" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Padron:Cite_book" title="Padron:Cite book">cite book</a>}}</code>: CS1 maint: date auto-translated (<a href="/wiki/Kategorya:CS1_maint:_date_auto-translated" title="Kategorya:CS1 maint: date auto-translated">link</a>) CS1 maint: date format (<a href="/wiki/Kategorya:CS1_maint:_date_format" title="Kategorya:CS1 maint: date format">link</a>)</span></span> </li> </ol></div><div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r2023235">.mw-parser-output .hlist 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