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Resta - Wikipedia

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class="vector-menu-content-list"> <li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Especial:MiDiscusi%C3%B3n" title="Alderique de les ediciones feches con esta direición IP [n]" accesskey="n"><span>Alderique</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"><!-- CentralNotice --></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Sitio"> <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="Conteníu" 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">Conteníu</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">mover a la barra llateral</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">despintar</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">Entamu</div> </a> </li> <li id="toc-Resta_básica:_númberos_enteros" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Resta_básica:_númberos_enteros"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Resta básica: númberos enteros</span> </div> </a> <ul id="toc-Resta_básica:_númberos_enteros-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Resta_como_adición" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Resta_como_adición"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Resta como adición</span> </div> </a> <ul id="toc-Resta_como_adición-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Algoritmu_de_restar" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Algoritmu_de_restar"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Algoritmu de restar</span> </div> </a> <button aria-controls="toc-Algoritmu_de_restar-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Alternar subsección Algoritmu de restar</span> </button> <ul id="toc-Algoritmu_de_restar-sublist" class="vector-toc-list"> <li id="toc-La_enseñanza_de_restar_nes_escueles" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#La_enseñanza_de_restar_nes_escueles"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>La enseñanza de restar nes escueles</span> </div> </a> <ul id="toc-La_enseñanza_de_restar_nes_escueles-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Resta_cola_mano" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Resta_cola_mano"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2</span> <span>Resta cola mano</span> </div> </a> <ul id="toc-Resta_cola_mano-sublist" class="vector-toc-list"> <li id="toc-Métodu_austriacu" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Métodu_austriacu"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2.1</span> <span>Métodu austriacu</span> </div> </a> <ul id="toc-Métodu_austriacu-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Sustracción_d&#039;esquierda_a_derecha" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Sustracción_d&#039;esquierda_a_derecha"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2.2</span> <span>Sustracción d'esquierda a derecha</span> </div> </a> <ul id="toc-Sustracción_d&#039;esquierda_a_derecha-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Métodu_americanu" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Métodu_americanu"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2.3</span> <span>Métodu americanu</span> </div> </a> <ul id="toc-Métodu_americanu-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Primeru_comerciu" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Primeru_comerciu"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2.4</span> <span>Primeru comerciu</span> </div> </a> <ul id="toc-Primeru_comerciu-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Diferencies_parciales" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Diferencies_parciales"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2.5</span> <span>Diferencies parciales</span> </div> </a> <ul id="toc-Diferencies_parciales-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Métodos_non_verticales" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Métodos_non_verticales"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2.6</span> <span>Métodos non verticales</span> </div> </a> <ul id="toc-Métodos_non_verticales-sublist" class="vector-toc-list"> <li id="toc-Cuntando_para_enriba" class="vector-toc-list-item vector-toc-level-4"> <a class="vector-toc-link" href="#Cuntando_para_enriba"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2.6.1</span> <span>Cuntando para enriba</span> </div> </a> <ul id="toc-Cuntando_para_enriba-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Rompiendo_restar" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Rompiendo_restar"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2.7</span> <span>Rompiendo restar</span> </div> </a> <ul id="toc-Rompiendo_restar-sublist" class="vector-toc-list"> <li id="toc-Igual_camudo" class="vector-toc-list-item vector-toc-level-4"> <a class="vector-toc-link" href="#Igual_camudo"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2.7.1</span> <span>Igual camudo</span> </div> </a> <ul id="toc-Igual_camudo-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> </ul> </li> </ul> </li> <li id="toc-Unidaes_de_midida" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Unidaes_de_midida"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Unidaes de midida</span> </div> </a> <ul id="toc-Unidaes_de_midida-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Ver_tamién" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Ver_tamién"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Ver tamién</span> </div> </a> <ul id="toc-Ver_tamién-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Referencies" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Referencies"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Referencies</span> </div> </a> <ul id="toc-Referencies-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Enllaces_esternos" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Enllaces_esternos"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Enllaces esternos</span> </div> </a> <ul id="toc-Enllaces_esternos-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="Conteníu" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Tabla de conteníos" > <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="Cambiar a la tabla de contenidos" > <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">Cambiar a la tabla de contenidos</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">Resta</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="Ir a un artículo en otro idioma. Disponible en 117 idiomas" > <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-117" 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">117 llingües</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/Aftrek" title="Aftrek – afrikaans" lang="af" hreflang="af" data-title="Aftrek" 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/Subtraktion" title="Subtraktion – alemán de Suiza" lang="gsw" hreflang="gsw" data-title="Subtraktion" data-language-autonym="Alemannisch" data-language-local-name="alemán de Suiza" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Resta" title="Resta – aragonés" lang="an" hreflang="an" data-title="Resta" data-language-autonym="Aragonés" data-language-local-name="aragonés" 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%B7%D8%B1%D8%AD" title="طرح – árabe" lang="ar" hreflang="ar" data-title="طرح" data-language-autonym="العربية" data-language-local-name="árabe" 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%B7%D8%B1%D8%AD" title="طرح – árabe d’Exiptu" lang="arz" hreflang="arz" data-title="طرح" data-language-autonym="مصرى" data-language-local-name="árabe d’Exiptu" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-ay mw-list-item"><a href="https://ay.wikipedia.org/wiki/Jakhuqawi" title="Jakhuqawi – aymara" lang="ay" hreflang="ay" data-title="Jakhuqawi" data-language-autonym="Aymar aru" data-language-local-name="aymara" class="interlanguage-link-target"><span>Aymar aru</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/%C3%87%C4%B1xma" title="Çıxma – azerbaixanu" lang="az" hreflang="az" data-title="Çıxma" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaixanu" 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%DB%8C%D8%AE%D9%85%D8%A7" title="چیخما – South Azerbaijani" lang="azb" hreflang="azb" data-title="چیخما" 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/%D0%90%D0%BB%D1%8B%D1%83" title="Алыу – bashkir" lang="ba" hreflang="ba" data-title="Алыу" 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/Pag-ina" title="Pag-ina – Central Bikol" lang="bcl" hreflang="bcl" data-title="Pag-ina" 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%90%D0%B4%D0%BD%D1%96%D0%BC%D0%B0%D0%BD%D0%BD%D0%B5" title="Адніманне – bielorrusu" lang="be" hreflang="be" data-title="Адніманне" data-language-autonym="Беларуская" data-language-local-name="bielorrusu" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%90%D0%B4%D1%8B%D0%BC%D0%B0%D0%BD%D1%8C%D0%BD%D0%B5" title="Адыманьне – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Адыманьне" 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%98%D0%B7%D0%B2%D0%B0%D0%B6%D0%B4%D0%B0%D0%BD%D0%B5" title="Изваждане – búlgaru" lang="bg" hreflang="bg" data-title="Изваждане" data-language-autonym="Български" data-language-local-name="búlgaru" 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%AC%E0%A6%BF%E0%A6%AF%E0%A6%BC%E0%A7%8B%E0%A6%97" title="বিয়োগ – bengalín" lang="bn" hreflang="bn" data-title="বিয়োগ" data-language-autonym="বাংলা" data-language-local-name="bengalín" 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%A0%E0%BD%95%E0%BE%B2%E0%BD%B2%E0%BC%8B%E0%BD%A2%E0%BE%A9%E0%BD%B2%E0%BD%A6%E0%BC%8D" title="འཕྲི་རྩིས། – tibetanu" lang="bo" hreflang="bo" data-title="འཕྲི་རྩིས།" data-language-autonym="བོད་ཡིག" data-language-local-name="tibetanu" 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/Lamadur" title="Lamadur – bretón" lang="br" hreflang="br" data-title="Lamadur" data-language-autonym="Brezhoneg" data-language-local-name="bretón" 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/Oduzimanje" title="Oduzimanje – bosniu" lang="bs" hreflang="bs" data-title="Oduzimanje" data-language-autonym="Bosanski" data-language-local-name="bosniu" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-bxr mw-list-item"><a href="https://bxr.wikipedia.org/wiki/%D0%A5%D0%B0%D2%BB%D0%B0%D0%BB%D1%82%D0%B0" title="Хаһалта – Russia Buriat" lang="bxr" hreflang="bxr" data-title="Хаһалта" 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/Resta" title="Resta – catalán" lang="ca" hreflang="ca" data-title="Resta" data-language-autonym="Català" data-language-local-name="catalán" 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/G%C4%93ng-hu%C3%A1k" title="Gēng-huák – Mindong" lang="cdo" hreflang="cdo" data-title="Gēng-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%8F%97%E1%8E%AA%E1%8F%A3%E1%8E%B4%E1%8F%8D%E1%8F%97" title="ᏗᎪᏣᎴᏍᏗ – cheroqui" lang="chr" hreflang="chr" data-title="ᏗᎪᏣᎴᏍᏗ" data-language-autonym="ᏣᎳᎩ" data-language-local-name="cheroqui" 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%D8%AF%DB%95%D8%B1%DA%A9%D8%B1%D8%AF%D9%86" title="لێدەرکردن – kurdu central" lang="ckb" hreflang="ckb" data-title="لێدەرکردن" data-language-autonym="کوردی" data-language-local-name="kurdu central" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Od%C4%8D%C3%ADt%C3%A1n%C3%AD" title="Odčítání – checu" lang="cs" hreflang="cs" data-title="Odčítání" data-language-autonym="Čeština" data-language-local-name="checu" 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%9A%C4%83%D0%BB%D0%B0%D1%80%D0%B0%D1%81%D1%81%D0%B8" title="Кăларасси – chuvash" lang="cv" hreflang="cv" data-title="Кăларасси" 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/Tynnu" title="Tynnu – galés" lang="cy" hreflang="cy" data-title="Tynnu" data-language-autonym="Cymraeg" data-language-local-name="galés" 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/Subtraktion" title="Subtraktion – danés" lang="da" hreflang="da" data-title="Subtraktion" data-language-autonym="Dansk" data-language-local-name="danés" 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/Subtraktion" title="Subtraktion – alemán" lang="de" hreflang="de" data-title="Subtraktion" data-language-autonym="Deutsch" data-language-local-name="alemán" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-dz mw-list-item"><a href="https://dz.wikipedia.org/wiki/%E0%BD%9F%E0%BD%91%E0%BC%8B%E0%BD%A0%E0%BD%82%E0%BE%B2%E0%BD%BC%E0%BC%8B%E0%BD%A6%E0%BE%90%E0%BE%B1%E0%BD%B2%E0%BD%93%E0%BC%8B%E0%BD%A0%E0%BD%82%E0%BE%B2%E0%BD%B4%E0%BD%A3%E0%BC%8B%E0%BD%82%E0%BE%B1%E0%BD%B2%E0%BC%8B%E0%BD%91%E0%BD%BC%E0%BD%93%E0%BC%8B%E0%BD%A3%E0%BD%B4%E0%BC%8B" title="ཟད་འགྲོ་སྐྱིན་འགྲུལ་གྱི་དོན་ལུ་ – dzongkha" lang="dz" hreflang="dz" data-title="ཟད་འགྲོ་སྐྱིན་འགྲུལ་གྱི་དོན་ལུ་" data-language-autonym="ཇོང་ཁ" data-language-local-name="dzongkha" class="interlanguage-link-target"><span>ཇོང་ཁ</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%91%CF%86%CE%B1%CE%AF%CF%81%CE%B5%CF%83%CE%B7" title="Αφαίρεση – griegu" lang="el" hreflang="el" data-title="Αφαίρεση" data-language-autonym="Ελληνικά" data-language-local-name="griegu" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Subtraction" title="Subtraction – inglés" lang="en" hreflang="en" data-title="Subtraction" data-language-autonym="English" data-language-local-name="inglés" 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/Subtraho" title="Subtraho – esperanto" lang="eo" hreflang="eo" data-title="Subtraho" 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/Resta" title="Resta – español" lang="es" hreflang="es" data-title="Resta" data-language-autonym="Español" data-language-local-name="español" 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/Lahutamine" title="Lahutamine – estoniu" lang="et" hreflang="et" data-title="Lahutamine" data-language-autonym="Eesti" data-language-local-name="estoniu" 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/Kenketa" title="Kenketa – vascu" lang="eu" hreflang="eu" data-title="Kenketa" data-language-autonym="Euskara" data-language-local-name="vascu" 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%AA%D9%81%D8%B1%DB%8C%D9%82" title="تفریق – persa" lang="fa" hreflang="fa" data-title="تفریق" data-language-autonym="فارسی" data-language-local-name="persa" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/V%C3%A4hennyslasku" title="Vähennyslasku – finlandés" lang="fi" hreflang="fi" data-title="Vähennyslasku" data-language-autonym="Suomi" data-language-local-name="finlandés" 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/Subtraction" title="Subtraction – fixanu" lang="fj" hreflang="fj" data-title="Subtraction" data-language-autonym="Na Vosa Vakaviti" data-language-local-name="fixanu" 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/Soustraction" title="Soustraction – francés" lang="fr" hreflang="fr" data-title="Soustraction" data-language-autonym="Français" data-language-local-name="francés" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E6%B8%9B%E6%B3%95" title="減法 – chinu gan" lang="gan" hreflang="gan" data-title="減法" data-language-autonym="贛語" data-language-local-name="chinu 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/Soustraksyon" title="Soustraksyon – Guianan Creole" lang="gcr" hreflang="gcr" data-title="Soustraksyon" 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/Toirt_air_falbh" title="Toirt air falbh – gaélicu escocés" lang="gd" hreflang="gd" data-title="Toirt air falbh" data-language-autonym="Gàidhlig" data-language-local-name="gaélicu escocés" 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/Subtracci%C3%B3n" title="Subtracción – gallegu" lang="gl" hreflang="gl" data-title="Subtracción" data-language-autonym="Galego" data-language-local-name="gallegu" 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/K%C3%A1m-fap" title="Kám-fap – chinu hakka" lang="hak" hreflang="hak" data-title="Kám-fap" data-language-autonym="客家語 / Hak-kâ-ngî" data-language-local-name="chinu hakka" class="interlanguage-link-target"><span>客家語 / Hak-kâ-ngî</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%97%D7%99%D7%A1%D7%95%D7%A8" title="חיסור – hebréu" lang="he" hreflang="he" data-title="חיסור" data-language-autonym="עברית" data-language-local-name="hebréu" 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%98%E0%A4%9F%E0%A4%BE%E0%A4%A8%E0%A4%BE" title="घटाना – hindi" lang="hi" hreflang="hi" data-title="घटाना" 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/Ghataana" title="Ghataana – hindi de Fiji" lang="hif" hreflang="hif" data-title="Ghataana" data-language-autonym="Fiji Hindi" data-language-local-name="hindi de Fiji" class="interlanguage-link-target"><span>Fiji Hindi</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Oduzimanje" title="Oduzimanje – croata" lang="hr" hreflang="hr" data-title="Oduzimanje" data-language-autonym="Hrvatski" data-language-local-name="croata" 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/Kivon%C3%A1s" title="Kivonás – húngaru" lang="hu" hreflang="hu" data-title="Kivonás" data-language-autonym="Magyar" data-language-local-name="húngaru" 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/%D5%80%D5%A1%D5%B6%D5%B8%D6%82%D5%B4" title="Հանում – armeniu" lang="hy" hreflang="hy" data-title="Հանում" data-language-autonym="Հայերեն" data-language-local-name="armeniu" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Pengurangan" title="Pengurangan – indonesiu" lang="id" hreflang="id" data-title="Pengurangan" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesiu" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Sustraciono" title="Sustraciono – ido" lang="io" hreflang="io" data-title="Sustraciono" data-language-autonym="Ido" data-language-local-name="ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Fr%C3%A1dr%C3%A1ttur" title="Frádráttur – islandés" lang="is" hreflang="is" data-title="Frádráttur" data-language-autonym="Íslenska" data-language-local-name="islandés" 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/Sottrazione" title="Sottrazione – italianu" lang="it" hreflang="it" data-title="Sottrazione" data-language-autonym="Italiano" data-language-local-name="italianu" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E6%B8%9B%E6%B3%95" title="減法 – xaponés" lang="ja" hreflang="ja" data-title="減法" data-language-autonym="日本語" data-language-local-name="xaponés" 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/Sobchakshan" title="Sobchakshan – inglés criollu xamaicanu" lang="jam" hreflang="jam" data-title="Sobchakshan" data-language-autonym="Patois" data-language-local-name="inglés criollu xamaicanu" 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/Pangurangan" title="Pangurangan – xavanés" lang="jv" hreflang="jv" data-title="Pangurangan" data-language-autonym="Jawa" data-language-local-name="xavanés" 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%9D%E1%83%99%E1%83%9A%E1%83%94%E1%83%91%E1%83%90" title="გამოკლება – xeorxanu" lang="ka" hreflang="ka" data-title="გამოკლება" data-language-autonym="ქართული" data-language-local-name="xeorxanu" 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%90%D0%B7%D0%B0%D0%B9%D1%82%D1%83_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Азайту (математика) – kazaquistanín" lang="kk" hreflang="kk" data-title="Азайту (математика)" data-language-autonym="Қазақша" data-language-local-name="kazaquistanín" 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%B5%E0%B3%8D%E0%B2%AF%E0%B2%B5%E0%B2%95%E0%B2%B2%E0%B2%A8" title="ವ್ಯವಕಲನ – canarés" lang="kn" hreflang="kn" data-title="ವ್ಯವಕಲನ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="canarés" 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/%EB%BA%84%EC%85%88" title="뺄셈 – coreanu" lang="ko" hreflang="ko" data-title="뺄셈" data-language-autonym="한국어" data-language-local-name="coreanu" 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%D0%B5%D0%BC%D0%B8%D1%82%D2%AF%D2%AF" title="Кемитүү – kirguistanín" lang="ky" hreflang="ky" data-title="Кемитүү" data-language-autonym="Кыргызча" data-language-local-name="kirguistanín" 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/Subtractio" title="Subtractio – llatín" lang="la" hreflang="la" data-title="Subtractio" data-language-autonym="Latina" data-language-local-name="llatín" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Atimtis" title="Atimtis – lituanu" lang="lt" hreflang="lt" data-title="Atimtis" data-language-autonym="Lietuvių" data-language-local-name="lituanu" 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/At%C5%86em%C5%A1ana" title="Atņemšana – letón" lang="lv" hreflang="lv" data-title="Atņemšana" data-language-autonym="Latviešu" data-language-local-name="letón" 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%9E%D0%B4%D0%B7%D0%B5%D0%BC%D0%B0%D1%9A%D0%B5" title="Одземање – macedoniu" lang="mk" hreflang="mk" data-title="Одземање" data-language-autonym="Македонски" data-language-local-name="macedoniu" 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%B5%E0%B5%8D%E0%B4%AF%E0%B4%B5%E0%B4%95%E0%B4%B2%E0%B4%A8%E0%B4%82" title="വ്യവകലനം – malayalam" lang="ml" hreflang="ml" data-title="വ്യവകലനം" 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%B5%E0%A4%9C%E0%A4%BE%E0%A4%AC%E0%A4%BE%E0%A4%95%E0%A5%80" title="वजाबाकी – marathi" lang="mr" hreflang="mr" data-title="वजाबाकी" 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/Penolakan" title="Penolakan – malayu" lang="ms" hreflang="ms" data-title="Penolakan" data-language-autonym="Bahasa Melayu" data-language-local-name="malayu" 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/Tnaqqis" title="Tnaqqis – maltés" lang="mt" hreflang="mt" data-title="Tnaqqis" data-language-autonym="Malti" data-language-local-name="maltés" 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%98%E0%A4%9F%E0%A4%BE%E0%A4%89" title="घटाउ – nepalés" lang="ne" hreflang="ne" data-title="घटाउ" data-language-autonym="नेपाली" data-language-local-name="nepalés" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Aftrekken_(wiskunde)" title="Aftrekken (wiskunde) – neerlandés" lang="nl" hreflang="nl" data-title="Aftrekken (wiskunde)" data-language-autonym="Nederlands" data-language-local-name="neerlandés" 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/Subtraksjon" title="Subtraksjon – noruegu Nynorsk" lang="nn" hreflang="nn" data-title="Subtraksjon" data-language-autonym="Norsk nynorsk" data-language-local-name="noruegu 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/Subtraksjon" title="Subtraksjon – noruegu Bokmål" lang="nb" hreflang="nb" data-title="Subtraksjon" data-language-autonym="Norsk bokmål" data-language-local-name="noruegu 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/Subtraktione" title="Subtraktione – novial" lang="nov" hreflang="nov" data-title="Subtraktione" 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/Sostraccion" title="Sostraccion – occitanu" lang="oc" hreflang="oc" data-title="Sostraccion" data-language-autonym="Occitan" data-language-local-name="occitanu" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%98%E0%A8%9F%E0%A8%BE%E0%A8%85" title="ਘਟਾਅ – punyabí" lang="pa" hreflang="pa" data-title="ਘਟਾਅ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="punyabí" 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/Odejmowanie" title="Odejmowanie – polacu" lang="pl" hreflang="pl" data-title="Odejmowanie" data-language-autonym="Polski" data-language-local-name="polacu" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Sotrassion" title="Sotrassion – piamontés" lang="pms" hreflang="pms" data-title="Sotrassion" data-language-autonym="Piemontèis" data-language-local-name="piamontés" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%D8%AA%D9%81%D8%B1%D9%8A%D9%82" title="تفريق – pashtu" lang="ps" hreflang="ps" data-title="تفريق" data-language-autonym="پښتو" data-language-local-name="pashtu" 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/Subtra%C3%A7%C3%A3o" title="Subtração – portugués" lang="pt" hreflang="pt" data-title="Subtração" data-language-autonym="Português" data-language-local-name="portugués" 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/Qichuy" title="Qichuy – quechua" lang="qu" hreflang="qu" data-title="Qichuy" 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/Sc%C4%83dere" title="Scădere – rumanu" lang="ro" hreflang="ro" data-title="Scădere" data-language-autonym="Română" data-language-local-name="rumanu" 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%92%D1%8B%D1%87%D0%B8%D1%82%D0%B0%D0%BD%D0%B8%D0%B5" title="Вычитание – rusu" lang="ru" hreflang="ru" data-title="Вычитание" data-language-autonym="Русский" data-language-local-name="rusu" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sah mw-list-item"><a href="https://sah.wikipedia.org/wiki/%D0%9A%D3%A9%D2%95%D2%AF%D1%80%D1%8D%D1%82%D0%B8%D0%B8" title="Көҕүрэтии – sakha" lang="sah" hreflang="sah" data-title="Көҕүрэтии" data-language-autonym="Саха тыла" data-language-local-name="sakha" class="interlanguage-link-target"><span>Саха тыла</span></a></li><li class="interlanguage-link interwiki-sat mw-list-item"><a href="https://sat.wikipedia.org/wiki/%E1%B1%B5%E1%B1%B7%E1%B1%AE%E1%B1%9C%E1%B1%AE%E1%B1%AB" title="ᱵᱷᱮᱜᱮᱫ – santali" lang="sat" hreflang="sat" data-title="ᱵᱷᱮᱜᱮᱫ" 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/Suttrazzioni" title="Suttrazzioni – sicilianu" lang="scn" hreflang="scn" data-title="Suttrazzioni" data-language-autonym="Sicilianu" data-language-local-name="sicilianu" 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/Oduzimanje" title="Oduzimanje – serbo-croata" lang="sh" hreflang="sh" data-title="Oduzimanje" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbo-croata" 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/Subtraction" title="Subtraction – Simple English" lang="en-simple" hreflang="en-simple" data-title="Subtraction" 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/Od%C4%8D%C3%ADtanie" title="Odčítanie – eslovacu" lang="sk" hreflang="sk" data-title="Odčítanie" data-language-autonym="Slovenčina" data-language-local-name="eslovacu" 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/Od%C5%A1tevanje" title="Odštevanje – eslovenu" lang="sl" hreflang="sl" data-title="Odštevanje" data-language-autonym="Slovenščina" data-language-local-name="eslovenu" 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/Kubvisa" title="Kubvisa – shona" lang="sn" hreflang="sn" data-title="Kubvisa" 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/Faraq" title="Faraq – somalín" lang="so" hreflang="so" data-title="Faraq" data-language-autonym="Soomaaliga" data-language-local-name="somalín" 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/Zbritja_(matematik%C3%AB)" title="Zbritja (matematikë) – albanu" lang="sq" hreflang="sq" data-title="Zbritja (matematikë)" data-language-autonym="Shqip" data-language-local-name="albanu" 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%9E%D0%B4%D1%83%D0%B7%D0%B8%D0%BC%D0%B0%D1%9A%D0%B5" title="Одузимање – serbiu" lang="sr" hreflang="sr" data-title="Одузимање" data-language-autonym="Српски / srpski" data-language-local-name="serbiu" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Subtraktion" title="Subtraktion – suecu" lang="sv" hreflang="sv" data-title="Subtraktion" data-language-autonym="Svenska" data-language-local-name="suecu" 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/Utoaji" title="Utoaji – suaḥili" lang="sw" hreflang="sw" data-title="Utoaji" data-language-autonym="Kiswahili" data-language-local-name="suaḥili" 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%95%E0%AE%B4%E0%AE%BF%E0%AE%A4%E0%AF%8D%E0%AE%A4%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="கழித்தல் (கணிதம்) – tamil" lang="ta" hreflang="ta" data-title="கழித்தல் (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%A4%E0%B1%80%E0%B0%B8%E0%B0%BF%E0%B0%B5%E0%B1%87%E0%B0%A4" title="తీసివేత – telugu" lang="te" hreflang="te" data-title="తీసివేత" 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%A2%D0%B0%D1%80%D2%B3_(%D0%B0%D0%BC%D0%B0%D0%BB%D0%B8_%D1%80%D0%B8%D1%91%D0%B7%D3%A3)" title="Тарҳ (амали риёзӣ) – taxiquistanín" lang="tg" hreflang="tg" data-title="Тарҳ (амали риёзӣ)" data-language-autonym="Тоҷикӣ" data-language-local-name="taxiquistanín" 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%A5%E0%B8%9A" title="การลบ – tailandés" lang="th" hreflang="th" data-title="การลบ" data-language-autonym="ไทย" data-language-local-name="tailandés" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Pagbabawas" title="Pagbabawas – tagalog" lang="tl" hreflang="tl" data-title="Pagbabawas" data-language-autonym="Tagalog" data-language-local-name="tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/%C3%87%C4%B1karma" title="Çıkarma – turcu" lang="tr" hreflang="tr" data-title="Çıkarma" data-language-autonym="Türkçe" data-language-local-name="turcu" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%92%D1%96%D0%B4%D0%BD%D1%96%D0%BC%D0%B0%D0%BD%D0%BD%D1%8F" title="Віднімання – ucraín" lang="uk" hreflang="uk" data-title="Віднімання" data-language-autonym="Українська" data-language-local-name="ucraín" 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%AA%D9%81%D8%B1%DB%8C%D9%82_(%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C)" title="تفریق (ریاضی) – urdu" lang="ur" hreflang="ur" data-title="تفریق (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/Ayirish" title="Ayirish – uzbequistanín" lang="uz" hreflang="uz" data-title="Ayirish" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbequistanín" 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/Sotra" title="Sotra – venecianu" lang="vec" hreflang="vec" data-title="Sotra" data-language-autonym="Vèneto" data-language-local-name="venecianu" 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_tr%E1%BB%AB" title="Phép trừ – vietnamín" lang="vi" hreflang="vi" data-title="Phép trừ" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamín" 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/Pag-iban-iban" title="Pag-iban-iban – waray" lang="war" hreflang="war" data-title="Pag-iban-iban" data-language-autonym="Winaray" data-language-local-name="waray" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E5%87%8F%E6%B3%95" title="减法 – chinu wu" lang="wuu" hreflang="wuu" data-title="减法" data-language-autonym="吴语" data-language-local-name="chinu 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%B0%D1%81%D0%BB%D0%B0%D2%BB%D0%B0%D0%BD" title="Хаслаһан – calmuco" lang="xal" hreflang="xal" data-title="Хаслаһан" data-language-autonym="Хальмг" data-language-local-name="calmuco" 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/Ukuthabatha" title="Ukuthabatha – xhosa" lang="xh" hreflang="xh" data-title="Ukuthabatha" 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%90%D7%A8%D7%90%D7%A4%D7%A0%D7%A2%D7%9D" title="אראפנעם – yiddish" lang="yi" hreflang="yi" data-title="אראפנעם" 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%8Cy%E1%BB%8Dk%C3%BAr%C3%B2" title="Ìyọkúrò – yoruba" lang="yo" hreflang="yo" data-title="Ìyọkúrò" 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/Gemjfap" title="Gemjfap – zhuang" lang="za" hreflang="za" data-title="Gemjfap" 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/%E6%B8%9B%E6%B3%95" title="減法 – chinu" lang="zh" hreflang="zh" data-title="減法" data-language-autonym="中文" data-language-local-name="chinu" 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/Ki%C3%A1m-hoat" title="Kiám-hoat – chinu min nan" lang="nan" hreflang="nan" data-title="Kiám-hoat" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="chinu min nan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E6%B8%9B" title="減 – cantonés" lang="yue" hreflang="yue" data-title="減" data-language-autonym="粵語" data-language-local-name="cantonés" 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/Q40754#sitelinks-wikipedia" title="Editar los enllaces d&#039;interllingua" class="wbc-editpage">Editar los enllaces</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="Espacios de nome"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Resta" title="Ver la páxina de conteníu [c]" accesskey="c"><span>Páxina</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Alderique:Resta&amp;action=edit&amp;redlink=1" rel="discussion" class="new" title="Alderique tocante al conteníu de la páxina (la páxina nun esiste) [t]" accesskey="t"><span>Alderique</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" 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mw-list-item"><a href="/wiki/Resta"><span>Lleer</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Resta&amp;veaction=edit" title="Editar esta páxina [v]" accesskey="v"><span>Editar</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Resta&amp;action=edit" title="Editar el códigu fonte d&#039;esta páxina [e]" accesskey="e"><span>Editar la fonte</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Resta&amp;action=history" title="Versiones antigües d&#039;esta páxina [h]" accesskey="h"><span>Ver historial</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Ferramientes de páxina"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" 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vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Resta&amp;action=edit" title="Editar el códigu fonte d&#039;esta páxina [e]" accesskey="e"><span>Editar la fonte</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Resta&amp;action=history"><span>Ver historial</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Xeneral </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Especial:LoQueEnlazaAqu%C3%AD/Resta" title="Llista de toles páxines wiki qu&#039;enllacien equí [j]" accesskey="j"><span>Lo qu&#039;enllaza equí</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Especial:CambiosEnEnlazadas/Resta" rel="nofollow" title="Cambios recientes nes páxines enllazaes dende esta [k]" accesskey="k"><span>Cambios 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data-file-height="512" /></a></span></div></div> </div> <div id="siteSub" class="noprint">De Wikipedia</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="ast" dir="ltr"><figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Ficheru:Subtraction01.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Subtraction01.svg/220px-Subtraction01.svg.png" decoding="async" width="220" height="147" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Subtraction01.svg/330px-Subtraction01.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Subtraction01.svg/440px-Subtraction01.svg.png 2x" data-file-width="300" data-file-height="200" /></a><figcaption>«5 – 2 = 3» (verbalmente, «cinco menos dos ye igual a trés»).</figcaption></figure> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Ficheru:Vertical_subtraction_example.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e6/Vertical_subtraction_example.svg/180px-Vertical_subtraction_example.svg.png" decoding="async" width="180" height="284" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e6/Vertical_subtraction_example.svg/270px-Vertical_subtraction_example.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e6/Vertical_subtraction_example.svg/360px-Vertical_subtraction_example.svg.png 2x" data-file-width="100" data-file-height="158" /></a><figcaption>Un problema d'exemplu</figcaption></figure> <figure typeof="mw:File/Thumb"><a href="/wiki/Ficheru:Subtraction_chart.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/29/Subtraction_chart.png/180px-Subtraction_chart.png" decoding="async" width="180" height="201" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/29/Subtraction_chart.png/270px-Subtraction_chart.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/29/Subtraction_chart.png/360px-Subtraction_chart.png 2x" data-file-width="604" data-file-height="676" /></a><figcaption>Sustracción de númberos 0-10. Llinia etiqueta = minuendu. exa X = sustraendo. exa Y = diferencia..</figcaption></figure> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Ficheru:Shop_placard_showing_20%25_reduction.JPG" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/2d/Shop_placard_showing_20%25_reduction.JPG/250px-Shop_placard_showing_20%25_reduction.JPG" decoding="async" width="220" height="293" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/2d/Shop_placard_showing_20%25_reduction.JPG/330px-Shop_placard_showing_20%25_reduction.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/2d/Shop_placard_showing_20%25_reduction.JPG/500px-Shop_placard_showing_20%25_reduction.JPG 2x" data-file-width="2304" data-file-height="3072" /></a><figcaption>Cartelu esterior de tienda en Burdeos espublizando sustracciones del 20% del preciu d'un segundu arume</figcaption></figure> <p>La <i>resta</i> o la <b>sustracción</b> ye una <a href="/wiki/Aritm%C3%A9tica" title="Aritmética">operación d'aritmética</a> que se representa col <a href="/w/index.php?title=Signu_menos&amp;action=edit&amp;redlink=1" class="new" title="Signu menos (la páxina nun esiste)">signu (–)</a>, representa la operación d'eliminación d'oxetos d'una coleición. Por casu, na imaxe de la derecha, hai 5-2 mazanes—significando 5 mazanes con 2 quitaes, colo cual hai un total de 3 mazanes. Poro, 5 – 2 = 3. Amás de cuntar frutes, la sustracción tamién puede representar combinación otres magnitúes físicu y astractu usando distintos tipos d'oxetos: <a href="/w/index.php?title=N%C3%BAmberos_negativos&amp;action=edit&amp;redlink=1" class="new" title="Númberos negativos (la páxina nun esiste)">númberos negativos</a>, <a href="/wiki/Fracci%C3%B3n" class="mw-redirect" title="Fracción">fracciones</a>, númberos irracionales, <a href="/wiki/Vector" title="Vector">vectores</a>, decimales, funciones, matrices y más. </p><p>La sustracción sigue dellos patrones importantes. Ye <a href="/w/index.php?title=Conmutatividad&amp;action=edit&amp;redlink=1" class="new" title="Conmutatividad (la páxina nun esiste)">anticonmutativa</a>, lo que significa que'l cambéu de la orde camuda'l signu de la respuesta. Nun ye <a href="/w/index.php?title=Asociatividad_(%C3%A1lxebra)&amp;action=edit&amp;redlink=1" class="new" title="Asociatividad (álxebra) (la páxina nun esiste)">asociativa</a>, lo que significa que cuando se resten más de dos númberos, importa del orde nel que se realiza restar. Restar a <a href="/w/index.php?title=0_(n%C3%BAmberu)&amp;action=edit&amp;redlink=1" class="new" title="0 (númberu) (la páxina nun esiste)">0</a> nun camuda un númberu. La sustracción tamién obedez a regles predecibles relatives a les operaciones rellacionaes, tales como l'<a href="/wiki/Suma" class="mw-redirect" title="Suma">adición</a> y la <a href="/wiki/Multiplicaci%C3%B3n" title="Multiplicación">multiplicación</a>. Toes estes regles pueden probase, a partir de la sustracción de númberos enteros y xeneralizales por aciu los <a href="/wiki/N%C3%BAmberos_reales" class="mw-redirect" title="Númberos reales">númberos reales</a> y más allá. Les <a href="/wiki/Operaci%C3%B3n_binaria" title="Operación binaria">operaciones binaries</a> xenerales que siguen esti patrones estudiar nel <a href="/wiki/%C3%81lxebra_astracta" class="mw-redirect" title="Álxebra astracta">álxebra astracta</a>. </p><p>Realizar sustracciones ye una de les xeres numbériques más simples. La sustracción de númberos bien pequeños ye accesible pa los neños pequeños. Na <a href="/wiki/Educaci%C3%B3n_primaria" title="Educación primaria">educación primaria</a>, los estudiantes enséñase-yos a restar númberos nel sistema decimal, empezando con un solu díxitu y progresivamente encetando problemes más difíciles. Les ayudes mecániques van dende l'antiguu <a href="/wiki/%C3%81baco" class="mw-redirect" title="Ábaco">ábaco</a> a l'<a href="/wiki/Ordenador" title="Ordenador">ordenador</a> moderna. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Resta_básica:_númberos_enteros"><span id="Resta_b.C3.A1sica:_n.C3.BAmberos_enteros"></span>Resta básica: númberos enteros</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Resta&amp;veaction=edit&amp;section=1" title="Editar seición: Resta básica: númberos enteros" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Resta&amp;action=edit&amp;section=1" title="Editar el código fuente de la sección: Resta básica: númberos enteros"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size mw-halign-left" typeof="mw:File"><a href="/wiki/Ficheru:Line_Segment_jaredwf.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b2/Line_Segment_jaredwf.svg/142px-Line_Segment_jaredwf.svg.png" decoding="async" width="142" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b2/Line_Segment_jaredwf.svg/213px-Line_Segment_jaredwf.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b2/Line_Segment_jaredwf.svg/284px-Line_Segment_jaredwf.svg.png 2x" data-file-width="142" data-file-height="40" /></a><figcaption></figcaption></figure> <p>Imaxine un <a href="/wiki/Segmentu" class="mw-redirect" title="Segmentu">segmentu de recta</a> de <a href="/wiki/Llargor" title="Llargor">llargor</a> <i>b</i> col estremu esquierdu etiquetáu a y l'estremu derechu etiquetáu <i>c</i>. Partiendo d'a, tómase b posiciones a la derecha pa llegar a c. Esti movimientu escontra la derecha modélase matemáticamente por aciu l'<a href="/wiki/Suma" class="mw-redirect" title="Suma">adición</a>: </p> <dl><dd><i>a</i> + <i>b</i> = <i>c</i>.</dd></dl> <p><br /> </p><p><br /> De <i>c</i>, tómense <i>b</i> posiciones a la izquierda pa volver a <i>a</i>. Esti movimientu a la izquierda modélase por sustracción: </p> <dl><dd><i>c</i> − <i>b</i> = <i>a</i>.</dd></dl> <p><br /> </p><p><br /> </p> <figure class="mw-default-size mw-halign-left" typeof="mw:File"><a href="/wiki/Ficheru:Subtraction_line_segment.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/ca/Subtraction_line_segment.svg/143px-Subtraction_line_segment.svg.png" decoding="async" width="143" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/ca/Subtraction_line_segment.svg/215px-Subtraction_line_segment.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/ca/Subtraction_line_segment.svg/286px-Subtraction_line_segment.svg.png 2x" data-file-width="143" data-file-height="50" /></a><figcaption></figcaption></figure> <p><br /> </p><p><br /> </p><p>Agora, un segmentu de la llinia marcada colos númberos <a href="/wiki/Unu" class="mw-redirect" title="Unu">1</a>, <a href="/wiki/Dos" title="Dos">2</a> y <a href="/wiki/Tr%C3%A9s" class="mw-redirect" title="Trés">3</a>. Dende la posición 3, nun se toma nengún pasu escontra la esquierda pa permanecer nel 3, polo que 3&#160;&#8722;&#160;0 = 3. Precísense 2 pasos a la izquierda pa llegar a la posición 1, polo que 3&#160;&#8722;&#160;2 = 1. Esta imaxe ye desaparente pa describir lo qu'asocedería dempués de pasar 3 pasos a la izquierda de la posición 3. Pa representar dicha operación, la llinia tien d'estendese. </p><p>Pa restar <a href="/wiki/N%C3%BAmberos_naturales" class="mw-redirect" title="Númberos naturales">númberos naturales</a> arbitrarios, unu empieza con una llinia que contién cada númberu natural (0, 1, 2, 3, 4, 5, 6, ...). Del 3, tómase 3 pasos a la izquierda pa llegar a 0, polo que 3 - 3 = 0. Pero 3&#160;&#8722;&#160;4 inda ye inválidu, yá que una vegada más sale de la llinia. Los númberos naturales nun son un contestu útil para restar. </p><p>La solución ye considerar la <a href="/w/index.php?title=Llinia_numb%C3%A9rica&amp;action=edit&amp;redlink=1" class="new" title="Llinia numbérica (la páxina nun esiste)">llinia numbérica</a> <a href="/wiki/N%C3%BAmberu_enteru" title="Númberu enteru">entera</a> (..., &#8722;3, &#8722;2, &#8722;1, 0, 1, 2, 3, ...). Del 3, tómase 4 pasos a la izquierda pa llegar a &#8722;1: </p> <dl><dd>3&#160;&#8722;&#160;4 = &#8722;1.</dd></dl> <div class="mw-heading mw-heading2"><h2 id="Resta_como_adición"><span id="Resta_como_adici.C3.B3n"></span>Resta como adición</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Resta&amp;veaction=edit&amp;section=2" title="Editar seición: Resta como adición" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Resta&amp;action=edit&amp;section=2" title="Editar el código fuente de la sección: Resta como adición"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Hai dellos casos onde resta como una <a href="/w/index.php?title=Operaci%C3%B3n_(matem%C3%A1tiques)&amp;action=edit&amp;redlink=1" class="new" title="Operación (matemátiques) (la páxina nun esiste)">operación</a> separada vuélvese problemática. Por casu, 3 - (-2) (esto ye, restar -2 de 3) nun ye darréu resalva dende un puntu de vista del <a href="/wiki/N%C3%BAmberu_natural" title="Númberu natural">númberu natural</a> o una vista de llinia de númberos, porque nun ta claro de momentu lo que significa mover -2 pasos a la izquierda o pa quitar -2 mazanes. Una solución ye ver a restar como la suma de númberos con signu. Un signu menos extra a cencielles denota <a href="/w/index.php?title=Opuestu&amp;action=edit&amp;redlink=1" class="new" title="Opuestu (la páxina nun esiste)">inversión aditiva</a>. Entós tenemos 3 - (-2) = 3 + 2 = 5. Esto tamién ayuda a caltener l'<a href="/w/index.php?title=Aniellu_(matem%C3%A1tica)&amp;action=edit&amp;redlink=1" class="new" title="Aniellu (matemática) (la páxina nun esiste)">aniellu</a> de los enteros "simple" al evitar la introducción de "nuevos" operadores como lu resta. Polo xeneral un aniellu solo tien dos operaciones definíes nel mesmu; nel casu de los númberos enteros, éstos son la suma y la multiplicación. Un aniellu yá tien el conceutu d'inversiones aditivas, pero nun tien nenguna noción d'una operación de sustracción separada, asina que l'usu de la suma como la resta roblada déxanos aplicar los axomes d'aniellu pa restar ensin necesidá de demostrar nada. </p> <div class="mw-heading mw-heading2"><h2 id="Algoritmu_de_restar">Algoritmu de restar</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Resta&amp;veaction=edit&amp;section=3" title="Editar seición: Algoritmu de restar" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Resta&amp;action=edit&amp;section=3" title="Editar el código fuente de la sección: Algoritmu de restar"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Hai dellos algoritmos pa restar, y difieren nel so idoneidad pa diverses aplicaciones. Pal cálculu a mano, afáense un númberu de métodos; por casu, al faer el cambéu, nun se realiza restar real, sinón más bien sigue xubiendo'l cambéu de cuentes. </p><p>Pa cálculu en máquina, prefierse'l <a href="/w/index.php?title=M%C3%A9todu_de_complementos&amp;action=edit&amp;redlink=1" class="new" title="Métodu de complementos (la páxina nun esiste)">métodu de complementos</a>, polo que la resta sustituyir por una adición nuna aritmética modular. </p> <div class="mw-heading mw-heading3"><h3 id="La_enseñanza_de_restar_nes_escueles"><span id="La_ense.C3.B1anza_de_restar_nes_escueles"></span>La enseñanza de restar nes escueles</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Resta&amp;veaction=edit&amp;section=4" title="Editar seición: La enseñanza de restar nes escueles" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Resta&amp;action=edit&amp;section=4" title="Editar el código fuente de la sección: La enseñanza de restar nes escueles"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Los métodos utilizaos pa enseñar restar pa la <a href="/wiki/Escuela_primaria" class="mw-redirect" title="Escuela primaria">escuela primaria</a> varien de país en país, y dientro d'un país, tán de moda distintes métodos en distintos momentos. </p><p>Delles escueles europees empleguen un métodu de sustracción llamáu métodu austriacu, tamién conocíu como'l métodu d'amiestes. Nesti métodu, nun hai préstamu. Sicasí, esisten muletes (marques p'ayudar a la memoria), que varien d'alcuerdu al país.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-Smith1913_2-0" class="reference"><a href="#cite_note-Smith1913-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> </p><p>Esti métodu dixebra la sustracción como un procesu de sustracciones d'un díxitu por valor de posición. A partir d'un díxitu menos significativu, una sustracción de sustraendo: </p> <dl><dd><i>s</i><sub><i>j</i></sub> <i>s</i><sub><i>j</i>&#8722;1</sub> ... <i>s</i><sub>1</sub></dd></dl> <p>dende'l minuendu&#160;: <i>m</i><sub><i>k</i></sub> <i>m</i><sub><i>k</i>&#8722;1</sub> ... <i>m</i><sub>1</sub>, onde cada <i>s</i><sub><i>i</i></sub> y <i>m</i><sub><i>i</i></sub> ye un díxitu, dando en escribir embaxo <i>m</i><sub>1</sub>&#160;&#8722;&#160;<i>s</i><sub>1</sub>, <i>m</i><sub>2</sub>&#160;&#8722;&#160;<i>s</i><sub>2</sub>, y asina socesivamente, siempres y cuando <i>s</i><sub><i>i</i></sub> nun entepase <i>m</i><sub><i>i</i></sub>. En casu contrariu, <i>m</i><sub><i>i</i></sub> amontar en 10 y dellos otros díxitos modificar pa correxir d'esti aumentu. El métodu americanu correxir intentando menguar el díxitu minuendu <i>m</i><sub><i>i</i>+1</sub> por unu (o siguir el préstamu escontra la esquierda hasta que nun sía un díxitu distintu de cero dende'l qu'empresta). El métodu européu corrixe amontáu'l díxitu sustraendo <i>s</i><sub><i>i</i>+1</sub> por unu. </p><p><b>Exemplu:</b> 704&#160;&#8722;&#160;512. </p> <style data-mw-deduplicate="TemplateStyles:r4219090">.mw-parser-output .ecuacion{padding:5px 10px;background-color:var(--background-color-base);color:var(--color-base);margin-left:30px;margin-bottom:0.8em;margin-top:0.5em;min-width:50%}.mw-parser-output .ecuacion .referencia{float:right;width:10%;text-align:end}.mw-parser-output .ecuacion cite{font-style:normal}</style><blockquote class="ecuacion" style="text-align:left"> <p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\begin{array}{rrrr}&amp;\color {Red}-1\\&amp;C&amp;D&amp;O\\&amp;7&amp;0&amp;4\\&amp;5&amp;1&amp;2\\\hline &amp;1&amp;9&amp;2\\\end{array}}{\begin{array}{l}{\color {Red}\longleftarrow {\rm {acarreto}}}\\\\\longleftarrow \;{\rm {Minuendu}}\\\longleftarrow \;{\rm {Sustraendo}}\\\longleftarrow {\rm {Resta\;o\;Diferencia}}\\\end{array}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtable columnalign="right right right right" rowspacing="4pt" columnspacing="1em" rowlines="none none none solid"> <mtr> <mtd></mtd> <mtd> <mstyle mathcolor="#ED1B23"> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mstyle> </mtd> </mtr> <mtr> <mtd></mtd> <mtd> <mi>C</mi> </mtd> <mtd> <mi>D</mi> </mtd> <mtd> <mi>O</mi> </mtd> </mtr> <mtr> <mtd></mtd> <mtd> <mn>7</mn> </mtd> <mtd> <mn>0</mn> </mtd> <mtd> <mn>4</mn> </mtd> </mtr> <mtr> <mtd></mtd> <mtd> <mn>5</mn> </mtd> <mtd> <mn>1</mn> </mtd> <mtd> <mn>2</mn> </mtd> </mtr> <mtr> <mtd></mtd> <mtd> <mn>1</mn> </mtd> <mtd> <mn>9</mn> </mtd> <mtd> <mn>2</mn> </mtd> </mtr> </mtable> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mtable columnalign="left" rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mrow class="MJX-TeXAtom-ORD"> <mstyle mathcolor="#ED1B23"> <mo stretchy="false">&#x27f5;<!-- ⟵ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">c</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">r</mi> <mi mathvariant="normal">r</mi> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">t</mi> <mi mathvariant="normal">o</mi> </mrow> </mrow> </mstyle> </mrow> </mtd> </mtr> <mtr> <mtd></mtd> </mtr> <mtr> <mtd> <mo stretchy="false">&#x27f5;<!-- ⟵ --></mo> <mspace width="thickmathspace"></mspace> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">M</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">n</mi> <mi mathvariant="normal">u</mi> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">n</mi> <mi mathvariant="normal">d</mi> <mi mathvariant="normal">u</mi> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mo stretchy="false">&#x27f5;<!-- ⟵ --></mo> <mspace width="thickmathspace"></mspace> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">S</mi> <mi mathvariant="normal">u</mi> <mi mathvariant="normal">s</mi> <mi mathvariant="normal">t</mi> <mi mathvariant="normal">r</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">n</mi> <mi mathvariant="normal">d</mi> <mi mathvariant="normal">o</mi> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mo stretchy="false">&#x27f5;<!-- ⟵ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">R</mi> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">s</mi> <mi mathvariant="normal">t</mi> <mi mathvariant="normal">a</mi> <mspace width="thickmathspace"></mspace> <mi mathvariant="normal">o</mi> <mspace width="thickmathspace"></mspace> <mi mathvariant="normal">D</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">f</mi> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">r</mi> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">n</mi> <mi mathvariant="normal">c</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">a</mi> </mrow> </mrow> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{array}{rrrr}&amp;\color {Red}-1\\&amp;C&amp;D&amp;O\\&amp;7&amp;0&amp;4\\&amp;5&amp;1&amp;2\\\hline &amp;1&amp;9&amp;2\\\end{array}}{\begin{array}{l}{\color {Red}\longleftarrow {\rm {acarreto}}}\\\\\longleftarrow \;{\rm {Minuendu}}\\\longleftarrow \;{\rm {Sustraendo}}\\\longleftarrow {\rm {Resta\;o\;Diferencia}}\\\end{array}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3fa049265a9529593e27d4b6b47b3088adef28fb" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -7.838ex; width:39.958ex; height:16.843ex;" alt="{\displaystyle {\begin{array}{rrrr}&amp;\color {Red}-1\\&amp;C&amp;D&amp;O\\&amp;7&amp;0&amp;4\\&amp;5&amp;1&amp;2\\\hline &amp;1&amp;9&amp;2\\\end{array}}{\begin{array}{l}{\color {Red}\longleftarrow {\rm {acarreto}}}\\\\\longleftarrow \;{\rm {Minuendu}}\\\longleftarrow \;{\rm {Sustraendo}}\\\longleftarrow {\rm {Resta\;o\;Diferencia}}\\\end{array}}}" /></span> </p> </blockquote> <p>El minuendu ye 704, el sustraendo ye 512. Los díxitos del minuendu son <i>m</i><sub>3</sub> = 7, <i>m</i><sub>2</sub> = 0 y <i>m</i><sub>1</sub> = 4. Los díxitos sustraendo son <i>s</i><sub>3</sub> = 5, <i>s</i><sub>2</sub> = 1 y <i>s</i><sub>1</sub> = 2. Empezando nel llugar de les unidaes, 4 ye non menos de 2 polo que s'escribe 2 la diferencia nel llugar de la resultancia. Nel llugar de les decenes, 0 ye menor que 1, polo que'l 0 amontar en 10, y la diferencia con 1, que ye 9, escribir en llugar de les decenes. El métodu americanu corrixe l'aumentu de diez amenorgando'l díxitu nel llugar de la centena del minuendu n'unu. Esto ye, el 7 ta tacháu y sustitúyese por un 6. Entós, restar procede nel llugar de les centenes, onde 6 nun ye inferior a 5, lo que la diferencia amenorgar nel llugar de la resultancia de cien. Agora terminemos, la resultancia ye 192. </p><p>El métodu austriacu nun amenorga la 7 a 6. Más bien aumenta'l díxitu de les centenes del sustraendo n'unu. Faise una pequeña marca cerca o per debaxo d'esta cifra (dependiendo de la escuela). De siguío, restar procede por preguntar qué númberu cuando aumenta en 1, y 5, añader a la mesma, fai 7. La respuesta ye 1, y anótase la resultancia nel llugar de les centenes. </p><p>Hai una sotileza adicional en que l'estudiante siempres emplega una tabla de sustracción mental nel métodu americanu. Munches vegaes, el métodu austriacu afala al estudiante a usar mentalmente la tabla de sumar a la inversa. Nel exemplu anterior, en llugar de la adición de 1 a 5, consiguiendo 6, y resta esti dende'l 7, l'estudiante pídese-y que considere qué númberu, cuando aumenta en 1, y 5, añader al mesmu, faciendo 7. </p> <div class="mw-heading mw-heading3"><h3 id="Resta_cola_mano">Resta cola mano</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Resta&amp;veaction=edit&amp;section=5" title="Editar seición: Resta cola mano" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Resta&amp;action=edit&amp;section=5" title="Editar el código fuente de la sección: Resta cola mano"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading4"><h4 id="Métodu_austriacu"><span id="M.C3.A9todu_austriacu"></span>Métodu austriacu</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Resta&amp;veaction=edit&amp;section=6" title="Editar seición: Métodu austriacu" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Resta&amp;action=edit&amp;section=6" title="Editar el código fuente de la sección: Métodu austriacu"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Exemplu: </p> <ul class="gallery mw-gallery-traditional"> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:Vertical_Subtraction_Method_B_Step_1.JPG" class="mw-file-description" title="1 + … = 3"><img alt="1 + … = 3" src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Vertical_Subtraction_Method_B_Step_1.JPG/120px-Vertical_Subtraction_Method_B_Step_1.JPG" decoding="async" width="76" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Vertical_Subtraction_Method_B_Step_1.JPG/250px-Vertical_Subtraction_Method_B_Step_1.JPG 2x" data-file-width="271" data-file-height="427" /></a></span></div> <div class="gallerytext">1 + … = 3</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:Vertical_Subtraction_Method_B_Step_2.JPG" class="mw-file-description" title="escribe la diferencia debaxo de la llinia."><img alt="escribe la diferencia debaxo de la llinia." src="//upload.wikimedia.org/wikipedia/commons/thumb/8/89/Vertical_Subtraction_Method_B_Step_2.JPG/120px-Vertical_Subtraction_Method_B_Step_2.JPG" decoding="async" width="76" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/89/Vertical_Subtraction_Method_B_Step_2.JPG/250px-Vertical_Subtraction_Method_B_Step_2.JPG 2x" data-file-width="272" data-file-height="428" /></a></span></div> <div class="gallerytext">escribe la diferencia debaxo de la llinia.</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:Vertical_Subtraction_Method_B_Step_3.JPG" class="mw-file-description" title="9 + … = 5 ¡La suma riquida (5) ye demasiáu pequeña!"><img alt="9 + … = 5 ¡La suma riquida (5) ye demasiáu pequeña!" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/ae/Vertical_Subtraction_Method_B_Step_3.JPG/76px-Vertical_Subtraction_Method_B_Step_3.JPG" decoding="async" width="76" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/ae/Vertical_Subtraction_Method_B_Step_3.JPG/114px-Vertical_Subtraction_Method_B_Step_3.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/ae/Vertical_Subtraction_Method_B_Step_3.JPG/152px-Vertical_Subtraction_Method_B_Step_3.JPG 2x" data-file-width="272" data-file-height="428" /></a></span></div> <div class="gallerytext">9 + … = 5<br />¡La suma riquida (5) ye demasiáu pequeña!</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:Vertical_Subtraction_Method_B_Step_4.JPG" class="mw-file-description" title="Poro, añadimos 10 a la mesma y ponemos un 1 sol siguiente llugar más altu nel sustraendo."><img alt="Poro, añadimos 10 a la mesma y ponemos un 1 sol siguiente llugar más altu nel sustraendo." src="//upload.wikimedia.org/wikipedia/commons/thumb/2/2f/Vertical_Subtraction_Method_B_Step_4.JPG/120px-Vertical_Subtraction_Method_B_Step_4.JPG" decoding="async" width="76" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/2f/Vertical_Subtraction_Method_B_Step_4.JPG/250px-Vertical_Subtraction_Method_B_Step_4.JPG 2x" data-file-width="272" data-file-height="428" /></a></span></div> <div class="gallerytext">Poro, añadimos 10 a la mesma y ponemos un 1 sol siguiente llugar más altu nel sustraendo.</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:Vertical_Subtraction_Method_B_Step_5.JPG" class="mw-file-description" title="9 + … = 15 Agora podemos ver la diferencia como antes."><img alt="9 + … = 15 Agora podemos ver la diferencia como antes." src="//upload.wikimedia.org/wikipedia/commons/thumb/7/75/Vertical_Subtraction_Method_B_Step_5.JPG/76px-Vertical_Subtraction_Method_B_Step_5.JPG" decoding="async" width="76" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/75/Vertical_Subtraction_Method_B_Step_5.JPG/114px-Vertical_Subtraction_Method_B_Step_5.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/75/Vertical_Subtraction_Method_B_Step_5.JPG/152px-Vertical_Subtraction_Method_B_Step_5.JPG 2x" data-file-width="272" data-file-height="428" /></a></span></div> <div class="gallerytext">9 + … = 15<br />Agora podemos ver la diferencia como antes.</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:Vertical_Subtraction_Method_B_Step_6.JPG" class="mw-file-description" title="(4 + 1) + … = 7"><img alt="(4 + 1) + … = 7" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Vertical_Subtraction_Method_B_Step_6.JPG/120px-Vertical_Subtraction_Method_B_Step_6.JPG" decoding="async" width="76" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Vertical_Subtraction_Method_B_Step_6.JPG/250px-Vertical_Subtraction_Method_B_Step_6.JPG 2x" data-file-width="271" data-file-height="428" /></a></span></div> <div class="gallerytext">(4 + 1) + … = 7</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:Vertical_Subtraction_Method_B_Step_7.JPG" class="mw-file-description" title="escribe la diferencia debaxo de la llinia."><img alt="escribe la diferencia debaxo de la llinia." src="//upload.wikimedia.org/wikipedia/commons/thumb/2/25/Vertical_Subtraction_Method_B_Step_7.JPG/76px-Vertical_Subtraction_Method_B_Step_7.JPG" decoding="async" width="76" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/25/Vertical_Subtraction_Method_B_Step_7.JPG/114px-Vertical_Subtraction_Method_B_Step_7.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/25/Vertical_Subtraction_Method_B_Step_7.JPG/151px-Vertical_Subtraction_Method_B_Step_7.JPG 2x" data-file-width="271" data-file-height="429" /></a></span></div> <div class="gallerytext">escribe la diferencia debaxo de la llinia.</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:Vertical_Subtraction_Method_B_Step_8.JPG" class="mw-file-description" title="escribe la diferencia total."><img alt="escribe la diferencia total." src="//upload.wikimedia.org/wikipedia/commons/thumb/5/59/Vertical_Subtraction_Method_B_Step_8.JPG/76px-Vertical_Subtraction_Method_B_Step_8.JPG" decoding="async" width="76" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/59/Vertical_Subtraction_Method_B_Step_8.JPG/114px-Vertical_Subtraction_Method_B_Step_8.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/59/Vertical_Subtraction_Method_B_Step_8.JPG/152px-Vertical_Subtraction_Method_B_Step_8.JPG 2x" data-file-width="271" data-file-height="427" /></a></span></div> <div class="gallerytext">escribe la diferencia total.</div> </li> </ul> <div class="mw-heading mw-heading4"><h4 id="Sustracción_d'esquierda_a_derecha"><span id="Sustracci.C3.B3n_d.27esquierda_a_derecha"></span>Sustracción d'esquierda a derecha</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Resta&amp;veaction=edit&amp;section=7" title="Editar seición: Sustracción d&#39;esquierda a derecha" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Resta&amp;action=edit&amp;section=7" title="Editar el código fuente de la sección: Sustracción d&#39;esquierda a derecha"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Exemplu: </p> <ul class="gallery mw-gallery-traditional"> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:LeftToRight_Subtraction_Step_1.JPG" class="mw-file-description" title="7 − 4 = 3 Esta resultancia solo dibúxase con llapiceru equí."><img alt="7 − 4 = 3 Esta resultancia solo dibúxase con llapiceru equí." src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1d/LeftToRight_Subtraction_Step_1.JPG/120px-LeftToRight_Subtraction_Step_1.JPG" decoding="async" width="88" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1d/LeftToRight_Subtraction_Step_1.JPG/250px-LeftToRight_Subtraction_Step_1.JPG 1.5x" data-file-width="273" data-file-height="370" /></a></span></div> <div class="gallerytext">7 − 4 = 3<br />Esta resultancia solo dibúxase con llapiceru equí.</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:LeftToRight_Subtraction_Step_2.JPG" class="mw-file-description" title="Por cuenta de que el siguiente díxitu del minuendu ye menor que&#39;l sustraendo, réstase unu del nuesu con llapiceru-en-númberu y mentalmente añader diez a la siguiente."><img alt="Por cuenta de que el siguiente díxitu del minuendu ye menor que&#39;l sustraendo, réstase unu del nuesu con llapiceru-en-númberu y mentalmente añader diez a la siguiente." src="//upload.wikimedia.org/wikipedia/commons/thumb/6/65/LeftToRight_Subtraction_Step_2.JPG/88px-LeftToRight_Subtraction_Step_2.JPG" decoding="async" width="88" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/65/LeftToRight_Subtraction_Step_2.JPG/131px-LeftToRight_Subtraction_Step_2.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/65/LeftToRight_Subtraction_Step_2.JPG/175px-LeftToRight_Subtraction_Step_2.JPG 2x" data-file-width="272" data-file-height="372" /></a></span></div> <div class="gallerytext">Por cuenta de que el siguiente díxitu del minuendu ye menor que'l sustraendo, réstase unu del nuesu con llapiceru-en-númberu y mentalmente añader diez a la siguiente.</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:LeftToRight_Subtraction_Step_3.JPG" class="mw-file-description" title="15 − 9 = 6"><img alt="15 − 9 = 6" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8e/LeftToRight_Subtraction_Step_3.JPG/120px-LeftToRight_Subtraction_Step_3.JPG" decoding="async" width="88" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8e/LeftToRight_Subtraction_Step_3.JPG/250px-LeftToRight_Subtraction_Step_3.JPG 1.5x" data-file-width="272" data-file-height="371" /></a></span></div> <div class="gallerytext">15 − 9 = 6</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:LeftToRight_Subtraction_Step_4.JPG" class="mw-file-description" title="Por cuenta de que el siguiente díxitu del minuendu nun ye menor que&#39;l sustraendo, caltiénse esti númberu."><img alt="Por cuenta de que el siguiente díxitu del minuendu nun ye menor que&#39;l sustraendo, caltiénse esti númberu." src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3f/LeftToRight_Subtraction_Step_4.JPG/88px-LeftToRight_Subtraction_Step_4.JPG" decoding="async" width="88" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3f/LeftToRight_Subtraction_Step_4.JPG/131px-LeftToRight_Subtraction_Step_4.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3f/LeftToRight_Subtraction_Step_4.JPG/175px-LeftToRight_Subtraction_Step_4.JPG 2x" data-file-width="271" data-file-height="371" /></a></span></div> <div class="gallerytext">Por cuenta de que el siguiente díxitu del minuendu nun ye menor que'l sustraendo, caltiénse esti númberu.</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:LeftToRight_Subtraction_Step_5.JPG" class="mw-file-description" title="3 − 1 = 2"><img alt="3 − 1 = 2" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a7/LeftToRight_Subtraction_Step_5.JPG/120px-LeftToRight_Subtraction_Step_5.JPG" decoding="async" width="88" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a7/LeftToRight_Subtraction_Step_5.JPG/250px-LeftToRight_Subtraction_Step_5.JPG 1.5x" data-file-width="271" data-file-height="371" /></a></span></div> <div class="gallerytext">3 − 1 = 2</div> </li> </ul> <div class="mw-heading mw-heading4"><h4 id="Métodu_americanu"><span id="M.C3.A9todu_americanu"></span>Métodu americanu</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Resta&amp;veaction=edit&amp;section=8" title="Editar seición: Métodu americanu" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Resta&amp;action=edit&amp;section=8" title="Editar el código fuente de la sección: Métodu americanu"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Nesti métodu, cada díxitu del sustraendo sustraer del díxitu percima d'él empezando de derecha a esquierda. Si'l númberu cimeru ye demasiáu pequeñu pa restar el númberu inferior del mesmu, sumir 10 al mesmu; esti 10 ye 'emprestáu' dende'l díxitu cimeru escontra la esquierda, lo que se resta 1 de. Depués pásase a restar el siguiente díxitu y el préstamu como sía necesariu, hasta que se restara cada díxitu. Exemplu: </p> <ul class="gallery mw-gallery-traditional"> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:Vertical_Subtraction_Method_A_Step_1.JPG" class="mw-file-description" title="3 − 1 = …"><img alt="3 − 1 = …" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8f/Vertical_Subtraction_Method_A_Step_1.JPG/120px-Vertical_Subtraction_Method_A_Step_1.JPG" decoding="async" width="76" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8f/Vertical_Subtraction_Method_A_Step_1.JPG/250px-Vertical_Subtraction_Method_A_Step_1.JPG 2x" data-file-width="273" data-file-height="429" /></a></span></div> <div class="gallerytext">3 − 1 = …</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:Vertical_Subtraction_Method_A_Step_2.JPG" class="mw-file-description" title="escribe la diferencia debaxo de la llinia."><img alt="escribe la diferencia debaxo de la llinia." src="//upload.wikimedia.org/wikipedia/commons/thumb/0/05/Vertical_Subtraction_Method_A_Step_2.JPG/120px-Vertical_Subtraction_Method_A_Step_2.JPG" decoding="async" width="76" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/05/Vertical_Subtraction_Method_A_Step_2.JPG/250px-Vertical_Subtraction_Method_A_Step_2.JPG 2x" data-file-width="272" data-file-height="428" /></a></span></div> <div class="gallerytext">escribe la diferencia debaxo de la llinia.</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:Vertical_Subtraction_Method_A_Step_3.JPG" class="mw-file-description" title="5 − 9 = … ¡El minuendu (5) ye demasiáu pequeñu!"><img alt="5 − 9 = … ¡El minuendu (5) ye demasiáu pequeñu!" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4f/Vertical_Subtraction_Method_A_Step_3.JPG/76px-Vertical_Subtraction_Method_A_Step_3.JPG" decoding="async" width="76" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4f/Vertical_Subtraction_Method_A_Step_3.JPG/114px-Vertical_Subtraction_Method_A_Step_3.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4f/Vertical_Subtraction_Method_A_Step_3.JPG/152px-Vertical_Subtraction_Method_A_Step_3.JPG 2x" data-file-width="271" data-file-height="428" /></a></span></div> <div class="gallerytext">5 − 9 = …<br />¡El minuendu (5) ye demasiáu pequeñu!</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:Vertical_Subtraction_Method_A_Step_4.JPG" class="mw-file-description" title="Poro, sumir 10 al mesmu. El 10 ye &#39;emprestáu&#39; del díxitu de la esquierda, que baxa en 1."><img alt="Poro, sumir 10 al mesmu. El 10 ye &#39;emprestáu&#39; del díxitu de la esquierda, que baxa en 1." src="//upload.wikimedia.org/wikipedia/commons/thumb/4/45/Vertical_Subtraction_Method_A_Step_4.JPG/76px-Vertical_Subtraction_Method_A_Step_4.JPG" decoding="async" width="76" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/45/Vertical_Subtraction_Method_A_Step_4.JPG/114px-Vertical_Subtraction_Method_A_Step_4.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/45/Vertical_Subtraction_Method_A_Step_4.JPG/152px-Vertical_Subtraction_Method_A_Step_4.JPG 2x" data-file-width="271" data-file-height="428" /></a></span></div> <div class="gallerytext">Poro, sumir 10 al mesmu. El 10 ye 'emprestáu' del díxitu de la esquierda, que baxa en 1.</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:Vertical_Subtraction_Method_A_Step_5.JPG" class="mw-file-description" title="15 − 9 = … Agora restar funciona, y escribimos la diferencia debaxo de la llinia."><img alt="15 − 9 = … Agora restar funciona, y escribimos la diferencia debaxo de la llinia." src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f4/Vertical_Subtraction_Method_A_Step_5.JPG/76px-Vertical_Subtraction_Method_A_Step_5.JPG" decoding="async" width="76" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f4/Vertical_Subtraction_Method_A_Step_5.JPG/114px-Vertical_Subtraction_Method_A_Step_5.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f4/Vertical_Subtraction_Method_A_Step_5.JPG/152px-Vertical_Subtraction_Method_A_Step_5.JPG 2x" data-file-width="272" data-file-height="429" /></a></span></div> <div class="gallerytext">15 − 9 = …<br />Agora restar funciona, y escribimos la diferencia debaxo de la llinia.</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:Vertical_Subtraction_Method_A_Step_6.JPG" class="mw-file-description" title="6 − 4 = …"><img alt="6 − 4 = …" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/54/Vertical_Subtraction_Method_A_Step_6.JPG/76px-Vertical_Subtraction_Method_A_Step_6.JPG" decoding="async" width="76" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/54/Vertical_Subtraction_Method_A_Step_6.JPG/114px-Vertical_Subtraction_Method_A_Step_6.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/54/Vertical_Subtraction_Method_A_Step_6.JPG/153px-Vertical_Subtraction_Method_A_Step_6.JPG 2x" data-file-width="273" data-file-height="429" /></a></span></div> <div class="gallerytext">6 − 4 = …</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:Vertical_Subtraction_Method_A_Step_7.JPG" class="mw-file-description" title="escribe la diferencia debaxo de la llinia."><img alt="escribe la diferencia debaxo de la llinia." src="//upload.wikimedia.org/wikipedia/commons/thumb/7/72/Vertical_Subtraction_Method_A_Step_7.JPG/76px-Vertical_Subtraction_Method_A_Step_7.JPG" decoding="async" width="76" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/72/Vertical_Subtraction_Method_A_Step_7.JPG/114px-Vertical_Subtraction_Method_A_Step_7.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/72/Vertical_Subtraction_Method_A_Step_7.JPG/153px-Vertical_Subtraction_Method_A_Step_7.JPG 2x" data-file-width="273" data-file-height="429" /></a></span></div> <div class="gallerytext">escribe la diferencia debaxo de la llinia.</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:Vertical_Subtraction_Method_A_Step_8.JPG" class="mw-file-description" title="La diferencia total."><img alt="La diferencia total." src="//upload.wikimedia.org/wikipedia/commons/thumb/5/53/Vertical_Subtraction_Method_A_Step_8.JPG/76px-Vertical_Subtraction_Method_A_Step_8.JPG" decoding="async" width="76" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/53/Vertical_Subtraction_Method_A_Step_8.JPG/114px-Vertical_Subtraction_Method_A_Step_8.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/53/Vertical_Subtraction_Method_A_Step_8.JPG/152px-Vertical_Subtraction_Method_A_Step_8.JPG 2x" data-file-width="272" data-file-height="428" /></a></span></div> <div class="gallerytext">La diferencia total.</div> </li> </ul> <div class="mw-heading mw-heading4"><h4 id="Primeru_comerciu">Primeru comerciu</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Resta&amp;veaction=edit&amp;section=9" title="Editar seición: Primeru comerciu" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Resta&amp;action=edit&amp;section=9" title="Editar el código fuente de la sección: Primeru comerciu"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Una variante del métodu americanu, onde tolos préstamos realícense primero que toa resta.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">&#91;</span>3<span class="cite-bracket">&#93;</span></a></sup> </p><p>Exemplu: </p> <ul class="gallery mw-gallery-traditional"> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:Trade_First_Subtraction_Step_1.JPG" class="mw-file-description" title="1 − 3 = nun ye posible. Añadimos un 10 al 1. Por cuenta de que el 10 ye &quot;emprestáu&quot; dende&#39;l 5 cercanu, el 5 baxar en 1."><img alt="1 − 3 = nun ye posible. Añadimos un 10 al 1. Por cuenta de que el 10 ye &quot;emprestáu&quot; dende&#39;l 5 cercanu, el 5 baxar en 1." src="//upload.wikimedia.org/wikipedia/commons/thumb/7/78/Trade_First_Subtraction_Step_1.JPG/120px-Trade_First_Subtraction_Step_1.JPG" decoding="async" width="69" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/78/Trade_First_Subtraction_Step_1.JPG/139px-Trade_First_Subtraction_Step_1.JPG 2x" data-file-width="235" data-file-height="406" /></a></span></div> <div class="gallerytext">1 − 3 = nun ye posible.<br />Añadimos un 10 al 1. Por cuenta de que el 10 ye "emprestáu" dende'l 5 cercanu, el 5 baxar en 1.</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:Trade_First_Subtraction_Step_2.JPG" class="mw-file-description" title="4 − 9 = nun ye posible. Asina se procede como nel pasu 1."><img alt="4 − 9 = nun ye posible. Asina se procede como nel pasu 1." src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b0/Trade_First_Subtraction_Step_2.JPG/120px-Trade_First_Subtraction_Step_2.JPG" decoding="async" width="69" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b0/Trade_First_Subtraction_Step_2.JPG/139px-Trade_First_Subtraction_Step_2.JPG 2x" data-file-width="234" data-file-height="404" /></a></span></div> <div class="gallerytext">4 − 9 = nun ye posible.<br />Asina se procede como nel pasu 1.</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:Trade_First_Subtraction_Step_3.JPG" class="mw-file-description" title="Trabayando de derecha a esquierda: 11 − 3 = 8"><img alt="Trabayando de derecha a esquierda: 11 − 3 = 8" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5d/Trade_First_Subtraction_Step_3.JPG/70px-Trade_First_Subtraction_Step_3.JPG" decoding="async" width="70" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/5d/Trade_First_Subtraction_Step_3.JPG/104px-Trade_First_Subtraction_Step_3.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/5d/Trade_First_Subtraction_Step_3.JPG/139px-Trade_First_Subtraction_Step_3.JPG 2x" data-file-width="235" data-file-height="404" /></a></span></div> <div class="gallerytext">Trabayando de derecha a esquierda:<br />11 − 3 = 8</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:Trade_First_Subtraction_Step_4.JPG" class="mw-file-description" title="14 − 9 = 5"><img alt="14 − 9 = 5" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d5/Trade_First_Subtraction_Step_4.JPG/69px-Trade_First_Subtraction_Step_4.JPG" decoding="async" width="69" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d5/Trade_First_Subtraction_Step_4.JPG/104px-Trade_First_Subtraction_Step_4.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d5/Trade_First_Subtraction_Step_4.JPG/138px-Trade_First_Subtraction_Step_4.JPG 2x" data-file-width="234" data-file-height="406" /></a></span></div> <div class="gallerytext">14 − 9 = 5</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:Trade_First_Subtraction_Step_5.JPG" class="mw-file-description" title="6 − 4 = 2"><img alt="6 − 4 = 2" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/72/Trade_First_Subtraction_Step_5.JPG/69px-Trade_First_Subtraction_Step_5.JPG" decoding="async" width="69" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/72/Trade_First_Subtraction_Step_5.JPG/103px-Trade_First_Subtraction_Step_5.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/72/Trade_First_Subtraction_Step_5.JPG/138px-Trade_First_Subtraction_Step_5.JPG 2x" data-file-width="233" data-file-height="406" /></a></span></div> <div class="gallerytext">6 − 4 = 2</div> </li> </ul> <div class="mw-heading mw-heading4"><h4 id="Diferencies_parciales">Diferencies parciales</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Resta&amp;veaction=edit&amp;section=10" title="Editar seición: Diferencies parciales" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Resta&amp;action=edit&amp;section=10" title="Editar el código fuente de la sección: Diferencies parciales"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>El métodu de les diferencies parciales estremar d'otros métodos de sustracción verticales porque nengún préstamu o o acarretu realízase. Nel so llugar, úsense unos llugares más o signos de menos en función de si'l minuendu ye mayor o menor que'l sustraendo. La suma de les diferencies parciales ye la diferencia total.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup> </p><p>Exemplu: </p> <ul class="gallery mw-gallery-traditional"> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:Partial-Differences_Subtraction_Step_1.JPG" class="mw-file-description" title="El númberu menor restar del mayor: 700 − 400 = 300 Por cuenta de que el minuendu ye mayor que&#39;l sustraendo, esta diferencia tien un signu de más."><img alt="El númberu menor restar del mayor: 700 − 400 = 300 Por cuenta de que el minuendu ye mayor que&#39;l sustraendo, esta diferencia tien un signu de más." src="//upload.wikimedia.org/wikipedia/commons/thumb/2/29/Partial-Differences_Subtraction_Step_1.JPG/59px-Partial-Differences_Subtraction_Step_1.JPG" decoding="async" width="59" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/29/Partial-Differences_Subtraction_Step_1.JPG/88px-Partial-Differences_Subtraction_Step_1.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/29/Partial-Differences_Subtraction_Step_1.JPG/117px-Partial-Differences_Subtraction_Step_1.JPG 2x" data-file-width="216" data-file-height="441" /></a></span></div> <div class="gallerytext">El númberu menor restar del mayor:<br />700 − 400 = 300<br />Por cuenta de que el minuendu ye mayor que'l sustraendo, esta diferencia tien un signu de más.</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:Partial-Differences_Subtraction_Step_2.JPG" class="mw-file-description" title="El númberu menor restar del mayor: 90 − 50 = 40 Por cuenta de que el minuendu ye menor que&#39;l sustraendo, esta diferencia tien un signu de menos."><img alt="El númberu menor restar del mayor: 90 − 50 = 40 Por cuenta de que el minuendu ye menor que&#39;l sustraendo, esta diferencia tien un signu de menos." src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Partial-Differences_Subtraction_Step_2.JPG/59px-Partial-Differences_Subtraction_Step_2.JPG" decoding="async" width="59" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Partial-Differences_Subtraction_Step_2.JPG/88px-Partial-Differences_Subtraction_Step_2.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Partial-Differences_Subtraction_Step_2.JPG/117px-Partial-Differences_Subtraction_Step_2.JPG 2x" data-file-width="216" data-file-height="441" /></a></span></div> <div class="gallerytext">El númberu menor restar del mayor:<br />90 − 50 = 40<br />Por cuenta de que el minuendu ye menor que'l sustraendo, esta diferencia tien un signu de menos.</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:Partial-Differences_Subtraction_Step_3.JPG" class="mw-file-description" title="El númberu menor restar del mayor: 3 − 1 = 2 Por cuenta de que el minuendu ye mayor que&#39;l sustraendo, esta diferencia tien un signu de más."><img alt="El númberu menor restar del mayor: 3 − 1 = 2 Por cuenta de que el minuendu ye mayor que&#39;l sustraendo, esta diferencia tien un signu de más." src="//upload.wikimedia.org/wikipedia/commons/thumb/2/26/Partial-Differences_Subtraction_Step_3.JPG/59px-Partial-Differences_Subtraction_Step_3.JPG" decoding="async" width="59" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/26/Partial-Differences_Subtraction_Step_3.JPG/88px-Partial-Differences_Subtraction_Step_3.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/26/Partial-Differences_Subtraction_Step_3.JPG/117px-Partial-Differences_Subtraction_Step_3.JPG 2x" data-file-width="216" data-file-height="441" /></a></span></div> <div class="gallerytext">El númberu menor restar del mayor:<br />3 − 1 = 2<br />Por cuenta de que el minuendu ye mayor que'l sustraendo, esta diferencia tien un signu de más.</div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Ficheru:Partial-Differences_Subtraction_Step_4.JPG" class="mw-file-description" title="+ 300 − 40 + 2 = 262"><img alt="+ 300 − 40 + 2 = 262" src="//upload.wikimedia.org/wikipedia/commons/thumb/0/08/Partial-Differences_Subtraction_Step_4.JPG/60px-Partial-Differences_Subtraction_Step_4.JPG" decoding="async" width="58" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/08/Partial-Differences_Subtraction_Step_4.JPG/120px-Partial-Differences_Subtraction_Step_4.JPG 1.5x" data-file-width="215" data-file-height="440" /></a></span></div> <div class="gallerytext">+ 300 − 40 + 2 = 262</div> </li> </ul> <div class="mw-heading mw-heading4"><h4 id="Métodos_non_verticales"><span id="M.C3.A9todos_non_verticales"></span>Métodos non verticales</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Resta&amp;veaction=edit&amp;section=11" title="Editar seición: Métodos non verticales" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Resta&amp;action=edit&amp;section=11" title="Editar el código fuente de la sección: Métodos non verticales"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading5"><h5 id="Cuntando_para_enriba">Cuntando para enriba</h5><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Resta&amp;veaction=edit&amp;section=12" title="Editar seición: Cuntando para enriba" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Resta&amp;action=edit&amp;section=12" title="Editar el código fuente de la sección: Cuntando para enriba"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>En llugar d'atopar estrema díxitu per díxitu, puede cuntar los númberos ente'l sustraendo y el minuendu.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup> </p><p>Exemplu: </p><p>1234 − 567 = pue ser atopada nos siguientes pasos: </p> <ul><li>567&#160;+&#160;<b>3</b>&#160;=&#160;570</li> <li>570&#160;+&#160;<b>30</b>&#160;=&#160;600</li> <li>600&#160;+&#160;<b>400</b>&#160;=&#160;1000</li> <li>1000&#160;+&#160;<b>234</b>&#160;=&#160;1234</li></ul> <p>Súmase'l valor de cada pasu pa llograr la diferencia total: 3&#160;+&#160;30&#160;+&#160;400&#160;+&#160;234&#160;=&#160;667. </p> <div class="mw-heading mw-heading4"><h4 id="Rompiendo_restar">Rompiendo restar</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Resta&amp;veaction=edit&amp;section=13" title="Editar seición: Rompiendo restar" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Resta&amp;action=edit&amp;section=13" title="Editar el código fuente de la sección: Rompiendo restar"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Otru métodu que ye útil pal cálculu mental ye estremar restar en pequeños pasos.<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup> </p><p>Exemplu: </p><p>1234&#160;−&#160;567&#160;= puede ser resuelta de la siguiente manera: </p> <ul><li>1234&#160;−&#160;<b>500</b>&#160;=&#160;734</li> <li>734&#160;−&#160;<b>60</b>&#160;=&#160;674</li> <li>674&#160;−&#160;<b>7</b>&#160;=&#160;667</li></ul> <div class="mw-heading mw-heading5"><h5 id="Igual_camudo">Igual camudo</h5><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Resta&amp;veaction=edit&amp;section=14" title="Editar seición: Igual camudo" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Resta&amp;action=edit&amp;section=14" title="Editar el código fuente de la sección: Igual camudo"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>El mesmu métodu de cambéu basar nel fechu de que sumar o restar el mesmu númberu del minuendu y sustraendo nun camuda la respuesta. Añadir la cantidá necesaria pa llograr ceros nel sustraendo. </p><p>Exemplu: </p><p>«1234&#160;−&#160;567&#160;=» puede ser resuelta de la siguiente manera: </p> <ul><li>1234&#160;−&#160;567 = 1237&#160;−&#160;570 = 1267&#160;−&#160;600 = 667</li></ul> <div class="mw-heading mw-heading2"><h2 id="Unidaes_de_midida">Unidaes de midida</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Resta&amp;veaction=edit&amp;section=15" title="Editar seición: Unidaes de midida" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Resta&amp;action=edit&amp;section=15" title="Editar el código fuente de la sección: Unidaes de midida"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Al restar dos númberos con unidaes de midida, tales como kilogramos o llibres, tienen de tener la mesma unidá. Na mayoría de casos, la diferencia va tener la mesma unidá que los númberos orixinales. </p><p>Una esceición ye cuando se resten dos númberos con <a href="/wiki/Porcentaxe" title="Porcentaxe">porcentaxe</a> como unidá. Nesti casu, la diferencia va tener <a href="/w/index.php?title=Puntu_porcentual&amp;action=edit&amp;redlink=1" class="new" title="Puntu porcentual (la páxina nun esiste)">puntos porcentuales</a> como unidá; la diferencia ye que los porcentaxes tienen de ser positivos, ente que los puntos porcentuales pueden ser negativos. </p> <div class="mw-heading mw-heading2"><h2 id="Ver_tamién"><span id="Ver_tami.C3.A9n"></span>Ver tamién</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Resta&amp;veaction=edit&amp;section=16" title="Editar seición: Ver tamién" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Resta&amp;action=edit&amp;section=16" title="Editar el código fuente de la sección: Ver tamién"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Aritm%C3%A9tica" title="Aritmética">Aritmética</a></li> <li><a href="/wiki/N%C3%BAmberu_negativu" title="Númberu negativu">Númberu negativu</a></li> <li><a href="/w/index.php?title=Diferencia_de_conxuntos&amp;action=edit&amp;redlink=1" class="new" title="Diferencia de conxuntos (la páxina nun esiste)">Diferencia de conxuntos</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Referencies">Referencies</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Resta&amp;veaction=edit&amp;section=17" title="Editar seición: Referencies" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Resta&amp;action=edit&amp;section=17" title="Editar el código fuente de la sección: Referencies"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r3503771">@media only screen and (max-width:600px){.mw-parser-output .llistaref{column-count:1!important}}</style><div class="llistaref" style="list-style-type: decimal;"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text">Klapper 1916, p. 177-.</span> </li> <li id="cite_note-Smith1913-2"><span class="mw-cite-backlink"><a href="#cite_ref-Smith1913_2-0">↑</a></span> <span class="reference-text"><cite style="font-style:normal">David Eugene Smith&#32;(1913). <i><a rel="nofollow" class="external text" href="https://books.google.com/books?id=A7NJAAAAIAAJ&amp;pg=PA77">The Teaching of Arithmetic</a></i>&#32;(n'inglés).&#32;Ginn,&#32;páx. 77–.</cite></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><a href="#cite_ref-3">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://sites.google.com/a/oswego308.org/msimester/home/math/algorithms/subtraction">The Many Ways of Arithmetic in UCSMP Everyday Mathematics</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20140225135251/https://sites.google.com/a/oswego308.org/msimester/home/math/algorithms/subtraction">Archiváu</a> 2014-02-25 en <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a> Subtraction: Trade First</span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><a href="#cite_ref-4">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://ouronlineschools.org/Schools/NC/Demoschool/4thGrade/Math/PartialDifferences.htm">Resta de Diferencies Parciales (n'inglés) </a>; <a rel="nofollow" class="external text" href="https://sites.google.com/a/oswego308.org/msimester/home/math/algorithms/subtraction">Les munches maneres de l'aritmética en Matemátiques diaries UCSMP</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20140225135251/https://sites.google.com/a/oswego308.org/msimester/home/math/algorithms/subtraction">Archiváu</a> 2014-02-25 en <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a> Sustracción: Diferencies parciales</span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><a href="#cite_ref-5">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://sites.google.com/a/oswego308.org/msimester/home/math/algorithms/subtraction">The Many Ways of Arithmetic in UCSMP Everyday Mathematics</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20140225135251/https://sites.google.com/a/oswego308.org/msimester/home/math/algorithms/subtraction">Archiváu</a> 2014-02-25 en <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a> Subtraction: Counting Up</span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><a href="#cite_ref-6">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://sites.google.com/a/oswego308.org/msimester/home/math/algorithms/subtraction">The Many Ways of Arithmetic in UCSMP Everyday Mathematics</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20140225135251/https://sites.google.com/a/oswego308.org/msimester/home/math/algorithms/subtraction">Archiváu</a> 2014-02-25 en <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a> Subtraction: Left to Right Subtraction</span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="Enllaces_esternos">Enllaces esternos</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Resta&amp;veaction=edit&amp;section=18" title="Editar seición: Enllaces esternos" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Resta&amp;action=edit&amp;section=18" title="Editar el código fuente de la sección: Enllaces esternos"><span>editar la fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span class="plainlinks commons navigation-not-searchable"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/20px-Commons-logo.svg.png" decoding="async" width="15" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/40px-Commons-logo.svg.png 1.5x" data-file-width="1024" data-file-height="1376" /></span></span> <a class="external text" href="https://commons.wikimedia.org/wiki/?uselang=ast">Wikimedia Commons</a> acueye conteníu multimedia sobre&#160;<i><b><a href="https://commons.wikimedia.org/wiki/Category:Subtraction" class="extiw" title="commons:Category:Subtraction">Resta</a></b></i>.</span></li> <li><a href="/w/index.php?title=Plant%C3%ADa:Springer&amp;action=edit&amp;redlink=1" class="new" title="Plantía:Springer (la páxina nun esiste)">Plantía:Springer</a></li> <li>Printable Worksheets: <a rel="nofollow" class="external text" href="https://www.math-drills.com/subtraction.shtml">Subtraction Worksheets</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20121119024904/http://www.math-drills.com/subtraction.shtml">Archiváu</a> 2012-11-19 en <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>, <a rel="nofollow" class="external text" href="http://www.kwiznet.com/p/takeQuiz.php?ChapterID=1214&amp;CurriculumID=2&amp;Method=Worksheet&amp;NQ=24&amp;NQ4P=3">One Digit Subtraction</a>, <a rel="nofollow" class="external text" href="http://www.kwiznet.com/p/takeQuiz.php?ChapterID=1202&amp;CurriculumID=2&amp;Method=Worksheet&amp;NQ=24&amp;NQ4P=3">Two Digit Subtraction</a>, y <a rel="nofollow" class="external text" href="http://www.kwiznet.com/p/takeQuiz.php?">ChapterID=1273&amp;CurriculumID=3&amp;Method=Worksheet&amp;NQ=24&amp;NQ4P=3 Four Digit Subtraction</a> (n'inglés)</li> <li><a rel="nofollow" class="external text" href="http://www.cut-the-knot.org/Curriculum/Arithmetic/SubtractionGame.shtml">Subtraction Game</a> en <a href="/w/index.php?title=Cut-the-Knot&amp;action=edit&amp;redlink=1" class="new" title="Cut-the-Knot (la páxina nun esiste)">cut-the-knot</a> (n'inglés)</li> <li><a rel="nofollow" class="external text" href="http://webhome.idirect.com/~totton/abacus/pages.htm#Subtraction1">Escoyíu de Abacus</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20090416010325/http://webhome.idirect.com/~totton/abacus/pages.htm#Subtraction1">Archiváu</a> 2009-04-16 en <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a> escoyíu de <a rel="nofollow" class="external text" href="http://webhome.idirect.com/~totton/abacus/">Abacus y el Misteriu del Bead</a> (n'inglés)</li> <li><span class="navigation-not-searchable">Esta obra remanez de la traducción total de <i><a href="https://en.wikipedia.org/wiki/Subtraction" class="extiw" title="en:Subtraction">Subtraction</a></i> de Wikipedia - inglés,&#160;concretamente d'<span class="plainlinks"><a class="external text" href="https://en.wikipedia.org/wiki/Subtraction?oldid=616003899">esta versión</a>,</span> espublizada polos <span class="plainlinks"><a class="external text" href="https://en.wikipedia.org/wiki/Subtraction?action=history">sos editores</a></span> baxo la <a href="/wiki/Wikipedia:Testu_de_la_Llicencia_de_documentaci%C3%B3n_llibre_de_GNU" title="Wikipedia:Testu de la Llicencia de documentación llibre de GNU">Llicencia de documentación llibre de GNU</a> y la <a href="/wiki/Wikipedia:Testu_de_la_Llicencia_Creative_Commons_Atribuci%C3%B3n-CompartirIgual_3.0_Unported" title="Wikipedia:Testu de la Llicencia Creative Commons Atribución-CompartirIgual 3.0 Unported">Llicencia 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.navbar{display:block;font-size:100%}.mw-parser-output .navbox-title .navbar{float:left;text-align:left;margin-right:0.5em}</style></div><div role="navigation" class="navbox" aria-labelledby="Control_d&amp;#039;autoridaes1710" style="padding:3px"><table class="nowraplinks hlist navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th id="Control_d&amp;#039;autoridaes1710" scope="row" class="navbox-group" style="width:1%;width: 12%; text-align:center;"><a href="/wiki/Ayuda:Control_d%27autoridaes" title="Ayuda:Control d&#39;autoridaes">Control d'autoridaes</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><b>Proyeutos Wikimedia</b></li> <li><span style="white-space:nowrap;"><span typeof="mw:File"><a href="/wiki/Wikidata" title="Wikidata"><img alt="Wd" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/20px-Wikidata-logo.svg.png" decoding="async" width="20" height="11" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/30px-Wikidata-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/40px-Wikidata-logo.svg.png 2x" data-file-width="1050" data-file-height="590" /></a></span> Datos:</span> <span class="uid"><a href="https://www.wikidata.org/wiki/Q40754" class="extiw" title="wikidata:Q40754">Q40754</a></span></li> <li><span style="white-space:nowrap;"><span typeof="mw:File"><a href="/wiki/Wikimedia_Commons" title="Commonscat"><img alt="Commonscat" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/20px-Commons-logo.svg.png" decoding="async" width="15" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/40px-Commons-logo.svg.png 1.5x" data-file-width="1024" data-file-height="1376" /></a></span> Multimedia:</span> <span class="uid"><span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Subtraction">Subtraction</a></span></span></li></ul> <hr /> <ul><li><b>Identificadores</b></li> <li><span style="white-space:nowrap;"><a href="/wiki/Biblioth%C3%A8que_nationale_de_France" class="mw-redirect" title="Bibliothèque nationale de France">BNF</a>:</span> <span class="uid"><a rel="nofollow" class="external text" href="https://catalogue.bnf.fr/ark:/12148/cb11940282d">11940282d</a> <a rel="nofollow" class="external text" href="http://data.bnf.fr/ark:/12148/cb11940282d">(data)</a></span></li> <li><span style="white-space:nowrap;"><a href="/wiki/Integrated_Authority_File" class="mw-redirect" title="Integrated Authority File">GND</a>:</span> <span class="uid"><a rel="nofollow" class="external text" href="https://d-nb.info/gnd/4359078-0">4359078-0</a></span></li> <li><span style="white-space:nowrap;"><a href="/wiki/Library_of_Congress_Control_Number" class="mw-redirect" title="Library of Congress Control Number">LCCN</a>:</span> <span class="uid"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/sh85129563">sh85129563</a></span></li> <li><span style="white-space:nowrap;"><a href="/wiki/National_Library_of_the_Czech_Republic" class="mw-redirect" title="National Library of the Czech Republic">NKC</a>:</span> <span class="uid"><a rel="nofollow" class="external text" href="https://aleph.nkp.cz/F/?func=find-c&amp;local_base=aut&amp;ccl_term=ica=ph898519">ph898519</a></span></li> <li><b>Diccionarios y enciclopedies</b></li> <li><span style="white-space:nowrap;"><a href="/wiki/Enciclopedia_Brit%C3%A1nica" class="mw-redirect" title="Enciclopedia Británica">Britannica</a>:</span> <span class="uid"><a rel="nofollow" class="external text" href="https://www.britannica.com/topic/subtraction">url</a></span></li></ul> </div></td></tr></tbody></table></div><div class="mw-mf-linked-projects hlist"> <ul><li><span style="white-space:nowrap;"><span typeof="mw:File"><a href="/wiki/Wikidata" title="Wikidata"><img alt="Wd" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/20px-Wikidata-logo.svg.png" decoding="async" width="20" height="11" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/30px-Wikidata-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/40px-Wikidata-logo.svg.png 2x" data-file-width="1050" data-file-height="590" /></a></span> Datos:</span> <span class="uid"><a href="https://www.wikidata.org/wiki/Q40754" class="extiw" title="wikidata:Q40754">Q40754</a></span></li> <li><span style="white-space:nowrap;"><span typeof="mw:File"><a href="/wiki/Wikimedia_Commons" title="Commonscat"><img alt="Commonscat" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/20px-Commons-logo.svg.png" decoding="async" width="15" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/40px-Commons-logo.svg.png 1.5x" data-file-width="1024" data-file-height="1376" /></a></span> Multimedia:</span> <span class="uid"><span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Subtraction">Subtraction</a></span></span></li></ul> </div></div> <!-- NewPP limit report Parsed by mw‐web.eqiad.main‐58c4b96c94‐kgg7d Cached time: 20250321122951 Cache expiry: 2592000 Reduced expiry: false Complications: [show‐toc] CPU time usage: 0.388 seconds Real time usage: 0.709 seconds Preprocessor visited node count: 1202/1000000 Post‐expand include size: 12065/2097152 bytes Template argument size: 727/2097152 bytes Highest expansion depth: 20/100 Expensive parser function count: 6/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 40028/5000000 bytes Lua time usage: 0.183/10.000 seconds Lua memory usage: 4785851/52428800 bytes Number of Wikibase entities loaded: 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