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Oduzimanje - Wikipedia
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decoding=\"async\" width=\"40\" height=\"43\" class=\"mw-file-element\" srcset=\"//upload.wikimedia.org/wikipedia/commons/thumb/7/71/Wikipedia_Asian_Month_Logo.svg/60px-Wikipedia_Asian_Month_Logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/71/Wikipedia_Asian_Month_Logo.svg/80px-Wikipedia_Asian_Month_Logo.svg.png 2x\" data-file-width=\"512\" data-file-height=\"555\" /\u003E\u003C/a\u003E\u003C/span\u003E\u003C/td\u003E\u003Ctd class=\"mbox-text\"\u003EOd 1. do 30. novembra 2024. učestvujte u projektu \u003Ca href=\"/wiki/Wikipedia:Azijski_mjesec/2024.\" title=\"Wikipedia:Azijski mjesec/2024.\"\u003E\"Azijski mjesec\"\u003C/a\u003E.\u003C/td\u003E\u003C/tr\u003E\u003C/tbody\u003E\u003C/table\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E";}}());</script></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="Sajt"> <div 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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">Početak</div> </a> </li> <li id="toc-Oduzimanje:_cijeli_brojevi" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Oduzimanje:_cijeli_brojevi"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Oduzimanje: cijeli brojevi</span> </div> </a> <ul id="toc-Oduzimanje:_cijeli_brojevi-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Oduzimanje_kao_sabiranje" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Oduzimanje_kao_sabiranje"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Oduzimanje kao sabiranje</span> </div> </a> <ul id="toc-Oduzimanje_kao_sabiranje-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Komutativnost_i_asocijativnost" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Komutativnost_i_asocijativnost"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Komutativnost i asocijativnost</span> </div> </a> <ul id="toc-Komutativnost_i_asocijativnost-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Načini_oduzimanja_sa_potpisivanjem" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Načini_oduzimanja_sa_potpisivanjem"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Načini oduzimanja sa potpisivanjem</span> </div> </a> <button aria-controls="toc-Načini_oduzimanja_sa_potpisivanjem-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>Uključi/isključi podsekciju Načini oduzimanja sa potpisivanjem</span> </button> <ul id="toc-Načini_oduzimanja_sa_potpisivanjem-sublist" class="vector-toc-list"> <li id="toc-Austrijska_metoda" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Austrijska_metoda"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1</span> <span>Austrijska metoda</span> </div> </a> <ul id="toc-Austrijska_metoda-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Oduzimanje_s_lijeva_na_desno" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Oduzimanje_s_lijeva_na_desno"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.2</span> <span>Oduzimanje s lijeva na desno</span> </div> </a> <ul id="toc-Oduzimanje_s_lijeva_na_desno-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Američka_metoda" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Američka_metoda"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.3</span> <span>Američka metoda</span> </div> </a> <ul id="toc-Američka_metoda-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Djelimična_razlika" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Djelimična_razlika"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.4</span> <span>Djelimična razlika</span> </div> </a> <ul id="toc-Djelimična_razlika-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Oduzimanje_bez_potpisivanja" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Oduzimanje_bez_potpisivanja"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Oduzimanje bez potpisivanja</span> </div> </a> <button aria-controls="toc-Oduzimanje_bez_potpisivanja-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>Uključi/isključi podsekciju Oduzimanje bez potpisivanja</span> </button> <ul id="toc-Oduzimanje_bez_potpisivanja-sublist" class="vector-toc-list"> <li id="toc-Brojanje_do" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Brojanje_do"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.1</span> <span>Brojanje do</span> </div> </a> <ul id="toc-Brojanje_do-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Razbijanjem_umanjioca" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Razbijanjem_umanjioca"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.2</span> <span>Razbijanjem umanjioca</span> </div> </a> <ul id="toc-Razbijanjem_umanjioca-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Jednaka_promjena" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Jednaka_promjena"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.3</span> <span>Jednaka promjena</span> </div> </a> <ul id="toc-Jednaka_promjena-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Izvori" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Izvori"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Izvori</span> </div> </a> <ul id="toc-Izvori-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="Sadržaj" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Uključi/isključi sadržaj" > <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">Uključi/isključi sadržaj</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">Oduzimanje</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="Idi na članak na drugom jeziku. Dostupno na 117 jezika" > <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 jezika</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 – afrikans" lang="af" hreflang="af" data-title="Aftrek" data-language-autonym="Afrikaans" data-language-local-name="afrikans" 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 – njemački (Švicarska)" lang="gsw" hreflang="gsw" data-title="Subtraktion" data-language-autonym="Alemannisch" data-language-local-name="njemački (Švicarska)" 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 – aragonski" lang="an" hreflang="an" data-title="Resta" data-language-autonym="Aragonés" data-language-local-name="aragonski" 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 – arapski" lang="ar" hreflang="ar" data-title="طرح" data-language-autonym="العربية" data-language-local-name="arapski" 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 – Egyptian Arabic" lang="arz" hreflang="arz" data-title="طرح" data-language-autonym="مصرى" data-language-local-name="Egyptian Arabic" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Resta" title="Resta – asturijski" lang="ast" hreflang="ast" data-title="Resta" data-language-autonym="Asturianu" data-language-local-name="asturijski" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-ay mw-list-item"><a href="https://ay.wikipedia.org/wiki/Jakhuqawi" title="Jakhuqawi – ajmara" lang="ay" hreflang="ay" data-title="Jakhuqawi" data-language-autonym="Aymar aru" data-language-local-name="ajmara" 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 – azerbejdžanski" lang="az" hreflang="az" data-title="Çıxma" data-language-autonym="Azərbaycanca" data-language-local-name="azerbejdžanski" 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 – baškirski" lang="ba" hreflang="ba" data-title="Алыу" data-language-autonym="Башҡортса" data-language-local-name="baškirski" 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 – bjeloruski" lang="be" hreflang="be" data-title="Адніманне" data-language-autonym="Беларуская" data-language-local-name="bjeloruski" 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 – bugarski" lang="bg" hreflang="bg" data-title="Изваждане" data-language-autonym="Български" data-language-local-name="bugarski" 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 – bengalski" lang="bn" hreflang="bn" data-title="বিয়োগ" data-language-autonym="বাংলা" data-language-local-name="bengalski" 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། – tibetanski" lang="bo" hreflang="bo" data-title="འཕྲི་རྩིས།" data-language-autonym="བོད་ཡིག" data-language-local-name="tibetanski" 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 – bretonski" lang="br" hreflang="br" data-title="Lamadur" data-language-autonym="Brezhoneg" data-language-local-name="bretonski" class="interlanguage-link-target"><span>Brezhoneg</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 – katalonski" lang="ca" hreflang="ca" data-title="Resta" data-language-autonym="Català" data-language-local-name="katalonski" 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 – čeroki" lang="chr" hreflang="chr" data-title="ᏗᎪᏣᎴᏍᏗ" data-language-autonym="ᏣᎳᎩ" data-language-local-name="čeroki" 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 – centralnokurdski" lang="ckb" hreflang="ckb" data-title="لێدەرکردن" data-language-autonym="کوردی" data-language-local-name="centralnokurdski" 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 – češki" lang="cs" hreflang="cs" data-title="Odčítání" data-language-autonym="Čeština" data-language-local-name="češki" 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 – čuvaški" lang="cv" hreflang="cv" data-title="Кăларасси" data-language-autonym="Чӑвашла" data-language-local-name="čuvaški" 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 – velški" lang="cy" hreflang="cy" data-title="Tynnu" data-language-autonym="Cymraeg" data-language-local-name="velški" 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 – danski" lang="da" hreflang="da" data-title="Subtraktion" data-language-autonym="Dansk" data-language-local-name="danski" 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 – njemački" lang="de" hreflang="de" data-title="Subtraktion" data-language-autonym="Deutsch" data-language-local-name="njemački" 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་ – džonga" lang="dz" hreflang="dz" data-title="ཟད་འགྲོ་སྐྱིན་འགྲུལ་གྱི་དོན་ལུ་" data-language-autonym="ཇོང་ཁ" data-language-local-name="džonga" 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 – grčki" lang="el" hreflang="el" data-title="Αφαίρεση" data-language-autonym="Ελληνικά" data-language-local-name="grčki" 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 – engleski" lang="en" hreflang="en" data-title="Subtraction" data-language-autonym="English" data-language-local-name="engleski" 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 – španski" lang="es" hreflang="es" data-title="Resta" data-language-autonym="Español" data-language-local-name="španski" 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 – estonski" lang="et" hreflang="et" data-title="Lahutamine" data-language-autonym="Eesti" data-language-local-name="estonski" 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 – baskijski" lang="eu" hreflang="eu" data-title="Kenketa" data-language-autonym="Euskara" data-language-local-name="baskijski" 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 – perzijski" lang="fa" hreflang="fa" data-title="تفریق" data-language-autonym="فارسی" data-language-local-name="perzijski" 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 – finski" lang="fi" hreflang="fi" data-title="Vähennyslasku" data-language-autonym="Suomi" data-language-local-name="finski" 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 – fidžijski" lang="fj" hreflang="fj" data-title="Subtraction" data-language-autonym="Na Vosa Vakaviti" data-language-local-name="fidžijski" 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 – francuski" lang="fr" hreflang="fr" data-title="Soustraction" data-language-autonym="Français" data-language-local-name="francuski" 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 – Gan" lang="gan" hreflang="gan" data-title="減法" data-language-autonym="贛語" data-language-local-name="Gan" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/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 – škotski galski" lang="gd" hreflang="gd" data-title="Toirt air falbh" data-language-autonym="Gàidhlig" data-language-local-name="škotski galski" 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 – galicijski" lang="gl" hreflang="gl" data-title="Subtracción" data-language-autonym="Galego" data-language-local-name="galicijski" 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 – Hakka Chinese" lang="hak" hreflang="hak" data-title="Kám-fap" data-language-autonym="客家語 / Hak-kâ-ngî" data-language-local-name="Hakka Chinese" class="interlanguage-link-target"><span>客家語 / Hak-kâ-ngî</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%97%D7%99%D7%A1%D7%95%D7%A8" title="חיסור – hebrejski" lang="he" hreflang="he" data-title="חיסור" data-language-autonym="עברית" data-language-local-name="hebrejski" 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 – Fiji Hindi" lang="hif" hreflang="hif" data-title="Ghataana" data-language-autonym="Fiji Hindi" data-language-local-name="Fiji Hindi" class="interlanguage-link-target"><span>Fiji Hindi</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Oduzimanje" title="Oduzimanje – hrvatski" lang="hr" hreflang="hr" data-title="Oduzimanje" data-language-autonym="Hrvatski" data-language-local-name="hrvatski" 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 – mađarski" lang="hu" hreflang="hu" data-title="Kivonás" data-language-autonym="Magyar" data-language-local-name="mađarski" 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 – armenski" lang="hy" hreflang="hy" data-title="Հանում" data-language-autonym="Հայերեն" data-language-local-name="armenski" 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 – indonezijski" lang="id" hreflang="id" data-title="Pengurangan" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonezijski" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Fr%C3%A1dr%C3%A1ttur" title="Frádráttur – islandski" lang="is" hreflang="is" data-title="Frádráttur" data-language-autonym="Íslenska" data-language-local-name="islandski" 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 – italijanski" lang="it" hreflang="it" data-title="Sottrazione" data-language-autonym="Italiano" data-language-local-name="italijanski" 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 – japanski" lang="ja" hreflang="ja" data-title="減法" data-language-autonym="日本語" data-language-local-name="japanski" 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 – Jamaican Creole English" lang="jam" hreflang="jam" data-title="Sobchakshan" data-language-autonym="Patois" data-language-local-name="Jamaican Creole English" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Pangurangan" title="Pangurangan – javanski" lang="jv" hreflang="jv" data-title="Pangurangan" data-language-autonym="Jawa" data-language-local-name="javanski" 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 – gruzijski" lang="ka" hreflang="ka" data-title="გამოკლება" data-language-autonym="ქართული" data-language-local-name="gruzijski" 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) – kazaški" lang="kk" hreflang="kk" data-title="Азайту (математика)" data-language-autonym="Қазақша" data-language-local-name="kazaški" 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 – kanada" lang="kn" hreflang="kn" data-title="ವ್ಯವಕಲನ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="kanada" 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 – korejski" lang="ko" hreflang="ko" data-title="뺄셈" data-language-autonym="한국어" data-language-local-name="korejski" 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 – kirgiški" lang="ky" hreflang="ky" data-title="Кемитүү" data-language-autonym="Кыргызча" data-language-local-name="kirgiški" 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 – latinski" lang="la" hreflang="la" data-title="Subtractio" data-language-autonym="Latina" data-language-local-name="latinski" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lo mw-list-item"><a href="https://lo.wikipedia.org/wiki/%E0%BA%81%E0%BA%B2%E0%BA%99%E0%BA%AB%E0%BA%B1%E0%BA%81%E0%BA%A5%E0%BA%BB%E0%BA%9A_(%E0%BA%84%E0%BA%B0%E0%BA%99%E0%BA%B4%E0%BA%94%E0%BA%AA%E0%BA%B2%E0%BA%94)" title="ການຫັກລົບ (ຄະນິດສາດ) – laoski" lang="lo" hreflang="lo" data-title="ການຫັກລົບ (ຄະນິດສາດ)" data-language-autonym="ລາວ" data-language-local-name="laoski" class="interlanguage-link-target"><span>ລາວ</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Atimtis" title="Atimtis – litvanski" lang="lt" hreflang="lt" data-title="Atimtis" data-language-autonym="Lietuvių" data-language-local-name="litvanski" 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 – latvijski" lang="lv" hreflang="lv" data-title="Atņemšana" data-language-autonym="Latviešu" data-language-local-name="latvijski" 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 – makedonski" lang="mk" hreflang="mk" data-title="Одземање" data-language-autonym="Македонски" data-language-local-name="makedonski" 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 – malajalam" lang="ml" hreflang="ml" data-title="വ്യവകലനം" data-language-autonym="മലയാളം" data-language-local-name="malajalam" 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 – marati" lang="mr" hreflang="mr" data-title="वजाबाकी" data-language-autonym="मराठी" data-language-local-name="marati" 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 – malajski" lang="ms" hreflang="ms" data-title="Penolakan" data-language-autonym="Bahasa Melayu" data-language-local-name="malajski" 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 – malteški" lang="mt" hreflang="mt" data-title="Tnaqqis" data-language-autonym="Malti" data-language-local-name="malteški" 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 – nepalski" lang="ne" hreflang="ne" data-title="घटाउ" data-language-autonym="नेपाली" data-language-local-name="nepalski" 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) – nizozemski" lang="nl" hreflang="nl" data-title="Aftrekken (wiskunde)" data-language-autonym="Nederlands" data-language-local-name="nizozemski" 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 – norveški (Nynorsk)" lang="nn" hreflang="nn" data-title="Subtraksjon" data-language-autonym="Norsk nynorsk" data-language-local-name="norveški (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 – norveški (Bokmal)" lang="nb" hreflang="nb" data-title="Subtraksjon" data-language-autonym="Norsk bokmål" data-language-local-name="norveški (Bokmal)" 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 – oksitanski" lang="oc" hreflang="oc" data-title="Sostraccion" data-language-autonym="Occitan" data-language-local-name="oksitanski" 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 – pandžapski" lang="pa" hreflang="pa" data-title="ਘਟਾਅ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="pandžapski" 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 – poljski" lang="pl" hreflang="pl" data-title="Odejmowanie" data-language-autonym="Polski" data-language-local-name="poljski" 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 – Piedmontese" lang="pms" hreflang="pms" data-title="Sotrassion" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" 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 – paštu" lang="ps" hreflang="ps" data-title="تفريق" data-language-autonym="پښتو" data-language-local-name="paštu" 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 – portugalski" lang="pt" hreflang="pt" data-title="Subtração" data-language-autonym="Português" data-language-local-name="portugalski" 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 – kečua" lang="qu" hreflang="qu" data-title="Qichuy" data-language-autonym="Runa Simi" data-language-local-name="kečua" 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 – rumunski" lang="ro" hreflang="ro" data-title="Scădere" data-language-autonym="Română" data-language-local-name="rumunski" 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 – ruski" lang="ru" hreflang="ru" data-title="Вычитание" data-language-autonym="Русский" data-language-local-name="ruski" 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 – jakutski" lang="sah" hreflang="sah" data-title="Көҕүрэтии" data-language-autonym="Саха тыла" data-language-local-name="jakutski" 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 – sicilijanski" lang="scn" hreflang="scn" data-title="Suttrazzioni" data-language-autonym="Sicilianu" data-language-local-name="sicilijanski" 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 – srpskohrvatski" lang="sh" hreflang="sh" data-title="Oduzimanje" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="srpskohrvatski" 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 – slovački" lang="sk" hreflang="sk" data-title="Odčítanie" data-language-autonym="Slovenčina" data-language-local-name="slovački" 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 – slovenski" lang="sl" hreflang="sl" data-title="Odštevanje" data-language-autonym="Slovenščina" data-language-local-name="slovenski" 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 – šona" lang="sn" hreflang="sn" data-title="Kubvisa" data-language-autonym="ChiShona" data-language-local-name="šona" 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 – somalski" lang="so" hreflang="so" data-title="Faraq" data-language-autonym="Soomaaliga" data-language-local-name="somalski" 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) – albanski" lang="sq" hreflang="sq" data-title="Zbritja (matematikë)" data-language-autonym="Shqip" data-language-local-name="albanski" 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 – srpski" lang="sr" hreflang="sr" data-title="Одузимање" data-language-autonym="Српски / srpski" data-language-local-name="srpski" 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 – švedski" lang="sv" hreflang="sv" data-title="Subtraktion" data-language-autonym="Svenska" data-language-local-name="švedski" 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 – svahili" lang="sw" hreflang="sw" data-title="Utoaji" data-language-autonym="Kiswahili" data-language-local-name="svahili" 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) – tamilski" lang="ta" hreflang="ta" data-title="கழித்தல் (கணிதம்)" data-language-autonym="தமிழ்" data-language-local-name="tamilski" 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) – tadžički" lang="tg" hreflang="tg" data-title="Тарҳ (амали риёзӣ)" data-language-autonym="Тоҷикӣ" data-language-local-name="tadžički" 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 – tajlandski" lang="th" hreflang="th" data-title="การลบ" data-language-autonym="ไทย" data-language-local-name="tajlandski" 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 – turski" lang="tr" hreflang="tr" data-title="Çıkarma" data-language-autonym="Türkçe" data-language-local-name="turski" 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 – ukrajinski" lang="uk" hreflang="uk" data-title="Віднімання" data-language-autonym="Українська" data-language-local-name="ukrajinski" 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 – uzbečki" lang="uz" hreflang="uz" data-title="Ayirish" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbečki" 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 – venecijanski" lang="vec" hreflang="vec" data-title="Sotra" data-language-autonym="Vèneto" data-language-local-name="venecijanski" 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 – vijetnamski" lang="vi" hreflang="vi" data-title="Phép trừ" data-language-autonym="Tiếng Việt" data-language-local-name="vijetnamski" 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 – varej" lang="war" hreflang="war" data-title="Pag-iban-iban" data-language-autonym="Winaray" data-language-local-name="varej" 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 – Wu kineski" lang="wuu" hreflang="wuu" data-title="减法" data-language-autonym="吴语" data-language-local-name="Wu kineski" 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 – kalmik" lang="xal" hreflang="xal" data-title="Хаслаһан" data-language-autonym="Хальмг" data-language-local-name="kalmik" 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 – hosa" lang="xh" hreflang="xh" data-title="Ukuthabatha" data-language-autonym="IsiXhosa" data-language-local-name="hosa" 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 – jidiš" lang="yi" hreflang="yi" data-title="אראפנעם" data-language-autonym="ייִדיש" data-language-local-name="jidiš" 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 – jorubanski" lang="yo" hreflang="yo" data-title="Ìyọkúrò" data-language-autonym="Yorùbá" data-language-local-name="jorubanski" 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 – zuang" lang="za" hreflang="za" data-title="Gemjfap" data-language-autonym="Vahcuengh" data-language-local-name="zuang" 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 – kineski" lang="zh" hreflang="zh" data-title="減法" data-language-autonym="中文" data-language-local-name="kineski" 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 – Minnan" lang="nan" hreflang="nan" data-title="Kiám-hoat" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Minnan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E6%B8%9B" title="減 – kantonski" lang="yue" hreflang="yue" data-title="減" data-language-autonym="粵語" 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title="Link na povezane podatke spremišnih stavki [g]" accesskey="g"><span>Stavka na Wikipodacima</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Izgled"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Izgled</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">premjesti na bočnu traku</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">sakrij</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">S Wikipedije, slobodne enciklopedije</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="bs" dir="ltr"><p><b>Oduzimanje</b> je jedna od četiri osnovne <a href="/wiki/Aritmetika" title="Aritmetika">aritmetičke operacije</a>. Suprotna je operacija <a href="/wiki/Sabiranje" title="Sabiranje">sabiranja</a> što znači ako broju <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle x}"></span> dodamo <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 y}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b8a6208ec717213d4317e666f1ae872e00620a0d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.155ex; height:2.009ex;" alt="{\displaystyle y}"></span> i od dobijenog broja oduzmemo <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 y}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b8a6208ec717213d4317e666f1ae872e00620a0d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.155ex; height:2.009ex;" alt="{\displaystyle y}"></span> ponovno ćemo dobiti <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle x}"></span>. Oduzimanje se označava znakom "-" minus. Za oduzimanje ne vrijedi komutativnost pa dajemo imena članovima. To su umanjenik, umanjilac i razlika. U jednačini <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a-b=c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>−<!-- − --></mo> <mi>b</mi> <mo>=</mo> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a-b=c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9e1414d3e399d7b743c73ebf67f7e4e738d5ded5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:9.173ex; height:2.343ex;" alt="{\displaystyle a-b=c}"></span>, a je umanjenik, b umanjilac, a c razlika. </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/Datoteka:Subtraction01.svg" class="mw-file-description" title="'"`UNIQ--postMath-00000006-QINU`"'"><img alt="'"`UNIQ--postMath-00000006-QINU`"'" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Subtraction01.svg/120px-Subtraction01.svg.png" decoding="async" width="120" height="80" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Subtraction01.svg/180px-Subtraction01.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Subtraction01.svg/240px-Subtraction01.svg.png 2x" data-file-width="300" data-file-height="200" /></a></span></div> <div class="gallerytext"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 5-3=2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>5</mn> <mo>−<!-- − --></mo> <mn>3</mn> <mo>=</mo> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 5-3=2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c69d4e163072fa3242dbf86f7ae6337db92d87fc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:9.426ex; height:2.343ex;" alt="{\displaystyle 5-3=2}"></span></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Datoteka:Vertical_subtraction_example.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e6/Vertical_subtraction_example.svg/76px-Vertical_subtraction_example.svg.png" decoding="async" width="76" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e6/Vertical_subtraction_example.svg/114px-Vertical_subtraction_example.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e6/Vertical_subtraction_example.svg/152px-Vertical_subtraction_example.svg.png 2x" data-file-width="100" data-file-height="158" /></a></span></div> <div class="gallerytext"></div> </li> </ul> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Oduzimanje:_cijeli_brojevi">Oduzimanje: cijeli brojevi</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Oduzimanje&veaction=edit&section=1" title="Uredi odlomak "Oduzimanje: cijeli brojevi"" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Oduzimanje&action=edit&section=1" title="Edit section's source code: Oduzimanje: cijeli brojevi"><span>uredi izvor</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size mw-halign-right" typeof="mw:File"><a href="/wiki/Datoteka: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>Zamislimo <a href="/wiki/Du%C5%BE" title="Duž">duž</a> dužine <i>b</i> gdje je lijevi kraj označen sa slovom <i>a</i>, a desni kraj slovom <i>c</i>. Počevši od <i>a</i>, potrebno je <i>b</i> koraka udesno da dođemo do <i>c</i>. Ovakvo kretanje matematički se opisuje kao sabiranje. </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a+b=c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo>=</mo> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a+b=c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1c85465b60dd983e3d20d07b64938bbf40b9220d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:9.173ex; height:2.343ex;" alt="{\displaystyle a+b=c}"></span></dd></dl> <p>Od <i>c</i> je potrebno <i>b</i> koraka ulijevo da se vratimo do <i>a</i>. Ovakvo kretanje matematički se opisuje kao oduzimanje. </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle c-a=b}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> <mo>−<!-- − --></mo> <mi>a</mi> <mo>=</mo> <mi>b</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c-a=b}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fb6b5f6422de3e546fdc896331a193a4d13421d5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:9.173ex; height:2.343ex;" alt="{\displaystyle c-a=b}"></span></dd></dl> <figure class="mw-default-size mw-halign-right" typeof="mw:File"><a href="/wiki/Datoteka: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>Zamislimo dužinu označenu sa brojevima <a href="/wiki/1" class="mw-redirect" title="1">1</a>,<a href="/wiki/2" class="mw-redirect" title="2">2</a> i <a href="/wiki/3" class="mw-redirect" title="3">3</a>. Od položaja 3, nisu potrebni koraci ulijevo da se ostane na 3, dakle :<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 3-0=3}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> <mo>−<!-- − --></mo> <mn>0</mn> <mo>=</mo> <mn>3</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3-0=3}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4af74fb0f0a8c5a455d16022770cb1f4e9043597" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:9.426ex; height:2.343ex;" alt="{\displaystyle 3-0=3}"></span> </p><p>Potrebna su dva koraka ulijevo da se dođe do položaja 1, dakle :<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 3-2=1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> <mo>−<!-- − --></mo> <mn>2</mn> <mo>=</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3-2=1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f8f1d4bd56e91134c79cfa271776416db56d2450" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:9.426ex; height:2.343ex;" alt="{\displaystyle 3-2=1}"></span>. Slika je neodgovarajuća da se prikaže što bi se dogodilo nakon 3 koraka ulijevo. Da bi se to prikazalo potrebno je produžiti duž. </p> <dl><dd>Za oduzimanje <a href="/wiki/Prirodni_brojevi" class="mw-redirect" title="Prirodni brojevi">prirodnih brojeva</a> potrebno je početi sa <a href="/wiki/Poluprava" title="Poluprava">polupravom</a> koja sadrži sve prirodne brojeve:<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (0,1,2,3,4,5,...)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>3</mn> <mo>,</mo> <mn>4</mn> <mo>,</mo> <mn>5</mn> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (0,1,2,3,4,5,...)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e88de0daa98bf97b277a96f1e5ec28d6698490e6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:18.089ex; height:2.843ex;" alt="{\displaystyle (0,1,2,3,4,5,...)}"></span></dd></dl> <p>Od 3, potrebno je napraviti 3 koraka ulijevo da se dođe na 0, dakle </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 3-0=3}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> <mo>−<!-- − --></mo> <mn>0</mn> <mo>=</mo> <mn>3</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3-0=3}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4af74fb0f0a8c5a455d16022770cb1f4e9043597" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:9.426ex; height:2.343ex;" alt="{\displaystyle 3-0=3}"></span>.</dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 3-4}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> <mo>−<!-- − --></mo> <mn>4</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3-4}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/31655e364c1cec0da7808043894cf7c96e5709bf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:5.165ex; height:2.343ex;" alt="{\displaystyle 3-4}"></span> nije moguće prikazati jer prelazi početak poluprave.</dd></dl> <p>Rješenje je <a href="/wiki/Prava_(geometrija)" title="Prava (geometrija)">prava</a> sa <a href="/wiki/Cijeli_brojevi" class="mw-redirect" title="Cijeli brojevi">cijelim brojevima</a>:<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (...,-3,-2,-1,0,1,2,3,...)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>,</mo> <mo>−<!-- − --></mo> <mn>3</mn> <mo>,</mo> <mo>−<!-- − --></mo> <mn>2</mn> <mo>,</mo> <mo>−<!-- − --></mo> <mn>1</mn> <mo>,</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>3</mn> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (...,-3,-2,-1,0,1,2,3,...)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/23271ba5293cef1be285561087b5b213d9041d0f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:29.846ex; height:2.843ex;" alt="{\displaystyle (...,-3,-2,-1,0,1,2,3,...)}"></span>. Od 3, potrebno je 4 koraka ulijevo da se dođe do -1 </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 3-4=-1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> <mo>−<!-- − --></mo> <mn>4</mn> <mo>=</mo> <mo>−<!-- − --></mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3-4=-1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c79889166c5be63bfc186abf25ffb2dfec8a75dc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:11.234ex; height:2.343ex;" alt="{\displaystyle 3-4=-1}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Oduzimanje_kao_sabiranje">Oduzimanje kao sabiranje</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Oduzimanje&veaction=edit&section=2" title="Uredi odlomak "Oduzimanje kao sabiranje"" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Oduzimanje&action=edit&section=2" title="Edit section's source code: Oduzimanje kao sabiranje"><span>uredi izvor</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Postoje slučajevi gdje oduzimanje kao posebna računska operacija postaje problematična. Primjer </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 5-(-3)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>5</mn> <mo>−<!-- − --></mo> <mo stretchy="false">(</mo> <mo>−<!-- − --></mo> <mn>3</mn> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 5-(-3)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ed6d1f26ed52033534b7b1fbb10ed7aa160f367e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:8.783ex; height:2.843ex;" alt="{\displaystyle 5-(-3)}"></span> oduzimanje -3 od 5) nije odmah očito na brojnoj pravoj jer nam nije odmah jasno šta znači pomaknuti se <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle -2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>−<!-- − --></mo> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle -2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/46e5b5b462e546b1d3d7e5f9a23efece405b2e78" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:2.971ex; height:2.343ex;" alt="{\displaystyle -2}"></span>-koraka ulijevo. Jedno rješenje je prikazati oduzimanje kao sabiranje. Dodatni znak minusa označava inverziju sabiranja.</dd></dl> <p>Tada imamo </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 5-(-3)=5+3=8}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>5</mn> <mo>−<!-- − --></mo> <mo stretchy="false">(</mo> <mo>−<!-- − --></mo> <mn>3</mn> <mo stretchy="false">)</mo> <mo>=</mo> <mn>5</mn> <mo>+</mo> <mn>3</mn> <mo>=</mo> <mn>8</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 5-(-3)=5+3=8}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e905d9edd5432b82915e8adaeb877fa2746dd568" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:21.307ex; height:2.843ex;" alt="{\displaystyle 5-(-3)=5+3=8}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Komutativnost_i_asocijativnost">Komutativnost i asocijativnost</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Oduzimanje&veaction=edit&section=3" title="Uredi odlomak "Komutativnost i asocijativnost"" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Oduzimanje&action=edit&section=3" title="Edit section's source code: Komutativnost i asocijativnost"><span>uredi izvor</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Ne važi komutativnost </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a-b=a+(-b)=(-b)+a=-(b-a)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mo>−<!-- − --></mo> <mi>b</mi> <mo>=</mo> <mi>a</mi> <mo>+</mo> <mo stretchy="false">(</mo> <mo>−<!-- − --></mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mo stretchy="false">(</mo> <mo>−<!-- − --></mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo>+</mo> <mi>a</mi> <mo>=</mo> <mo>−<!-- − --></mo> <mo stretchy="false">(</mo> <mi>b</mi> <mo>−<!-- − --></mo> <mi>a</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a-b=a+(-b)=(-b)+a=-(b-a)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f8aca3d99df49f4e03a3ae3420eefc78b4b25151" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:40.419ex; height:2.843ex;" alt="{\displaystyle a-b=a+(-b)=(-b)+a=-(b-a)}"></span> </p><p>Ne važi asocijativnost </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (a-b)-c\neq a-(b-c)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi>a</mi> <mo>−<!-- − --></mo> <mi>b</mi> <mo stretchy="false">)</mo> <mo>−<!-- − --></mo> <mi>c</mi> <mo>≠<!-- ≠ --></mo> <mi>a</mi> <mo>−<!-- − --></mo> <mo stretchy="false">(</mo> <mi>b</mi> <mo>−<!-- − --></mo> <mi>c</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (a-b)-c\neq a-(b-c)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/92f433b9411d1fb3eee7606f1e215a0bbd8d6ac8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:24.547ex; height:2.843ex;" alt="{\displaystyle (a-b)-c\neq a-(b-c)}"></span> </p> <div class="mw-heading mw-heading2"><h2 id="Načini_oduzimanja_sa_potpisivanjem"><span id="Na.C4.8Dini_oduzimanja_sa_potpisivanjem"></span>Načini oduzimanja sa potpisivanjem</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Oduzimanje&veaction=edit&section=4" title="Uredi odlomak "Načini oduzimanja sa potpisivanjem"" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Oduzimanje&action=edit&section=4" title="Edit section's source code: Načini oduzimanja sa potpisivanjem"><span>uredi izvor</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Austrijska_metoda">Austrijska metoda</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Oduzimanje&veaction=edit&section=5" title="Uredi odlomak "Austrijska metoda"" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Oduzimanje&action=edit&section=5" title="Edit section's source code: Austrijska metoda"><span>uredi izvor</span></a><span class="mw-editsection-bracket">]</span></span></div> <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/Datoteka:Vertical_Subtraction_Method_B_Step_1.JPG" class="mw-file-description" title="'"`UNIQ--postMath-00000015-QINU`"'"><img alt="'"`UNIQ--postMath-00000015-QINU`"'" src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Vertical_Subtraction_Method_B_Step_1.JPG/76px-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/114px-Vertical_Subtraction_Method_B_Step_1.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Vertical_Subtraction_Method_B_Step_1.JPG/152px-Vertical_Subtraction_Method_B_Step_1.JPG 2x" data-file-width="271" data-file-height="427" /></a></span></div> <div class="gallerytext"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 1+...=3}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1</mn> <mo>+</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>=</mo> <mn>3</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1+...=3}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f519b3b68cd9fa259ac8f338e54c1497810d0366" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:9.688ex; height:2.343ex;" alt="{\displaystyle 1+...=3}"></span></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Datoteka:Vertical_Subtraction_Method_B_Step_2.JPG" class="mw-file-description" title="'"`UNIQ--postMath-00000016-QINU`"'"><img alt="'"`UNIQ--postMath-00000016-QINU`"'" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/89/Vertical_Subtraction_Method_B_Step_2.JPG/76px-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/114px-Vertical_Subtraction_Method_B_Step_2.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/89/Vertical_Subtraction_Method_B_Step_2.JPG/152px-Vertical_Subtraction_Method_B_Step_2.JPG 2x" data-file-width="272" data-file-height="428" /></a></span></div> <div class="gallerytext"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 3-1=2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> <mo>−<!-- − --></mo> <mn>1</mn> <mo>=</mo> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3-1=2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/09bdf1ca439ba3f857af8da87f0a53a28648e2c8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:9.426ex; height:2.343ex;" alt="{\displaystyle 3-1=2}"></span></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Datoteka:Vertical_Subtraction_Method_B_Step_3.JPG" class="mw-file-description" title="'"`UNIQ--postMath-00000017-QINU`"'"><img alt="'"`UNIQ--postMath-00000017-QINU`"'" 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"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 9+...=5}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>9</mn> <mo>+</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>=</mo> <mn>5</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 9+...=5}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ae154cff7c4b9ee80496502a606da9c2d5088ec0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:9.688ex; height:2.343ex;" alt="{\displaystyle 9+...=5}"></span></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Datoteka:Vertical_Subtraction_Method_B_Step_4.JPG" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/2f/Vertical_Subtraction_Method_B_Step_4.JPG/76px-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/114px-Vertical_Subtraction_Method_B_Step_4.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/2f/Vertical_Subtraction_Method_B_Step_4.JPG/152px-Vertical_Subtraction_Method_B_Step_4.JPG 2x" data-file-width="272" data-file-height="428" /></a></span></div> <div class="gallerytext"></div> </li> </ul> <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/Datoteka:Vertical_Subtraction_Method_B_Step_5.JPG" class="mw-file-description" title="'"`UNIQ--postMath-00000018-QINU`"'"><img alt="'"`UNIQ--postMath-00000018-QINU`"'" 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"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 9+...=15}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>9</mn> <mo>+</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>=</mo> <mn>15</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 9+...=15}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3355e13df6a83ae2054b1c19536ac60c9996d510" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:10.851ex; height:2.343ex;" alt="{\displaystyle 9+...=15}"></span></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Datoteka:Vertical_Subtraction_Method_B_Step_6.JPG" class="mw-file-description" title="'"`UNIQ--postMath-00000019-QINU`"'"><img alt="'"`UNIQ--postMath-00000019-QINU`"'" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Vertical_Subtraction_Method_B_Step_6.JPG/76px-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/114px-Vertical_Subtraction_Method_B_Step_6.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Vertical_Subtraction_Method_B_Step_6.JPG/152px-Vertical_Subtraction_Method_B_Step_6.JPG 2x" data-file-width="271" data-file-height="428" /></a></span></div> <div class="gallerytext"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (4+1)+...=7}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mn>4</mn> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo>+</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>=</mo> <mn>7</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (4+1)+...=7}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7c3ea0f96ec8b129b8c46debe1790f951f9d4ec5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:15.5ex; height:2.843ex;" alt="{\displaystyle (4+1)+...=7}"></span></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Datoteka:Vertical_Subtraction_Method_B_Step_7.JPG" class="mw-file-description"><img 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"></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Datoteka:Vertical_Subtraction_Method_B_Step_8.JPG" class="mw-file-description"><img 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"></div> </li> </ul> <div class="mw-heading mw-heading3"><h3 id="Oduzimanje_s_lijeva_na_desno">Oduzimanje s lijeva na desno</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Oduzimanje&veaction=edit&section=6" title="Uredi odlomak "Oduzimanje s lijeva na desno"" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Oduzimanje&action=edit&section=6" title="Edit section's source code: Oduzimanje s lijeva na desno"><span>uredi izvor</span></a><span class="mw-editsection-bracket">]</span></span></div> <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/Datoteka:LeftToRight_Subtraction_Step_1.JPG" class="mw-file-description" title="'"`UNIQ--postMath-0000001A-QINU`"'"><img alt="'"`UNIQ--postMath-0000001A-QINU`"'" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1d/LeftToRight_Subtraction_Step_1.JPG/88px-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/133px-LeftToRight_Subtraction_Step_1.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1d/LeftToRight_Subtraction_Step_1.JPG/177px-LeftToRight_Subtraction_Step_1.JPG 2x" data-file-width="273" data-file-height="370" /></a></span></div> <div class="gallerytext"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 7-4=3}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>7</mn> <mo>−<!-- − --></mo> <mn>4</mn> <mo>=</mo> <mn>3</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 7-4=3}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/79fbe89f6a4169224058f747630756e179ab5bac" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:9.426ex; height:2.343ex;" alt="{\displaystyle 7-4=3}"></span></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Datoteka:LeftToRight_Subtraction_Step_2.JPG" class="mw-file-description"><img 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"></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Datoteka:LeftToRight_Subtraction_Step_3.JPG" class="mw-file-description" title="'"`UNIQ--postMath-0000001B-QINU`"'"><img alt="'"`UNIQ--postMath-0000001B-QINU`"'" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8e/LeftToRight_Subtraction_Step_3.JPG/88px-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/132px-LeftToRight_Subtraction_Step_3.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8e/LeftToRight_Subtraction_Step_3.JPG/176px-LeftToRight_Subtraction_Step_3.JPG 2x" data-file-width="272" data-file-height="371" /></a></span></div> <div class="gallerytext"><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 15-9=6}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>15</mn> <mo>−<!-- − --></mo> <mn>9</mn> <mo>=</mo> <mn>6</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 15-9=6}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/07cc949c41258dd03ea37654e25b1362f2fe6cdd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:10.589ex; height:2.343ex;" alt="{\displaystyle 15-9=6}"></span></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Datoteka:Vertical_Subtraction_Method_B_Step_8.JPG" class="mw-file-description"><img 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"></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Datoteka:LeftToRight_Subtraction_Step_5.JPG" class="mw-file-description" title="'"`UNIQ--postMath-0000001C-QINU`"'"><img alt="'"`UNIQ--postMath-0000001C-QINU`"'" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a7/LeftToRight_Subtraction_Step_5.JPG/88px-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/131px-LeftToRight_Subtraction_Step_5.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a7/LeftToRight_Subtraction_Step_5.JPG/175px-LeftToRight_Subtraction_Step_5.JPG 2x" data-file-width="271" data-file-height="371" /></a></span></div> <div class="gallerytext"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (3-1=2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mn>3</mn> <mo>−<!-- − --></mo> <mn>1</mn> <mo>=</mo> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (3-1=2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5da571f943f2c5382d1cf645ffdb726acbc488da" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.331ex; height:2.843ex;" alt="{\displaystyle (3-1=2}"></span></div> </li> </ul> <div class="mw-heading mw-heading3"><h3 id="Američka_metoda"><span id="Ameri.C4.8Dka_metoda"></span>Američka metoda</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Oduzimanje&veaction=edit&section=7" title="Uredi odlomak "Američka metoda"" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Oduzimanje&action=edit&section=7" title="Edit section's source code: Američka metoda"><span>uredi izvor</span></a><span class="mw-editsection-bracket">]</span></span></div> <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/Datoteka:Vertical_Subtraction_Method_A_Step_1.JPG" class="mw-file-description" title="'"`UNIQ--postMath-0000001D-QINU`"'"><img alt="'"`UNIQ--postMath-0000001D-QINU`"'" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8f/Vertical_Subtraction_Method_A_Step_1.JPG/76px-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/114px-Vertical_Subtraction_Method_A_Step_1.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8f/Vertical_Subtraction_Method_A_Step_1.JPG/153px-Vertical_Subtraction_Method_A_Step_1.JPG 2x" data-file-width="273" data-file-height="429" /></a></span></div> <div class="gallerytext"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 3-1=...}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> <mo>−<!-- − --></mo> <mn>1</mn> <mo>=</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3-1=...}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a57bc05839b3d7ecf1faa8d479fcbb793676c6b0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:10.333ex; height:2.343ex;" alt="{\displaystyle 3-1=...}"></span></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Datoteka:Vertical_Subtraction_Method_A_Step_2.JPG" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/05/Vertical_Subtraction_Method_A_Step_2.JPG/76px-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/114px-Vertical_Subtraction_Method_A_Step_2.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/05/Vertical_Subtraction_Method_A_Step_2.JPG/152px-Vertical_Subtraction_Method_A_Step_2.JPG 2x" data-file-width="272" data-file-height="428" /></a></span></div> <div class="gallerytext"></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Datoteka:Vertical_Subtraction_Method_A_Step_3.JPG" class="mw-file-description" title="'"`UNIQ--postMath-0000001E-QINU`"'"><img alt="'"`UNIQ--postMath-0000001E-QINU`"'" 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"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 5-9=...}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>5</mn> <mo>−<!-- − --></mo> <mn>9</mn> <mo>=</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 5-9=...}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d72598643e619d85a905e8b7c6a2b58dfdd7935e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:10.333ex; height:2.343ex;" alt="{\displaystyle 5-9=...}"></span></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Datoteka:Vertical_Subtraction_Method_A_Step_4.JPG" class="mw-file-description"><img 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"></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Datoteka:Vertical_Subtraction_Method_A_Step_5.JPG" class="mw-file-description" title="'"`UNIQ--postMath-0000001F-QINU`"'"><img alt="'"`UNIQ--postMath-0000001F-QINU`"'" 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"><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 15-9=...}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>15</mn> <mo>−<!-- − --></mo> <mn>9</mn> <mo>=</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 15-9=...}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b7b3a217beae48906a619a7dee9f52e9de043c09" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:11.496ex; height:2.343ex;" alt="{\displaystyle 15-9=...}"></span></div> </li> </ul> <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/Datoteka:Vertical_Subtraction_Method_A_Step_6.JPG" class="mw-file-description" title="'"`UNIQ--postMath-00000020-QINU`"'"><img alt="'"`UNIQ--postMath-00000020-QINU`"'" 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"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 6-4}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>6</mn> <mo>−<!-- − --></mo> <mn>4</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 6-4}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1a338ea3953b944cc8383f536e7188af2388811e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:5.165ex; height:2.343ex;" alt="{\displaystyle 6-4}"></span></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Datoteka:Vertical_Subtraction_Method_A_Step_7.JPG" class="mw-file-description"><img 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"></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Datoteka:Vertical_Subtraction_Method_A_Step_8.JPG" class="mw-file-description"><img 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"></div> </li> </ul> <p>Još jedan način ovog oduzimanja </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/Datoteka:Trade_First_Subtraction_Step_1.JPG" class="mw-file-description" title="'"`UNIQ--postMath-00000021-QINU`"'"><img alt="'"`UNIQ--postMath-00000021-QINU`"'" src="//upload.wikimedia.org/wikipedia/commons/thumb/7/78/Trade_First_Subtraction_Step_1.JPG/69px-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/104px-Trade_First_Subtraction_Step_1.JPG 1.5x, //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"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 1-3}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1</mn> <mo>−<!-- − --></mo> <mn>3</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1-3}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/79c20a27c65187de573556c02cf4785aa0bacd0c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:5.165ex; height:2.343ex;" alt="{\displaystyle 1-3}"></span></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Datoteka:Trade_First_Subtraction_Step_2.JPG" class="mw-file-description" title="'"`UNIQ--postMath-00000022-QINU`"'"><img alt="'"`UNIQ--postMath-00000022-QINU`"'" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b0/Trade_First_Subtraction_Step_2.JPG/69px-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/104px-Trade_First_Subtraction_Step_2.JPG 1.5x, //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"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 4-9}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>4</mn> <mo>−<!-- − --></mo> <mn>9</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 4-9}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3f7145ebcf80573d0ded52426567d1c038dd9220" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:5.165ex; height:2.343ex;" alt="{\displaystyle 4-9}"></span></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Datoteka:Trade_First_Subtraction_Step_3.JPG" class="mw-file-description" title="'"`UNIQ--postMath-00000023-QINU`"'"><img alt="'"`UNIQ--postMath-00000023-QINU`"'" 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"><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 11-3=8}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>11</mn> <mo>−<!-- − --></mo> <mn>3</mn> <mo>=</mo> <mn>8</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 11-3=8}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/32782518cae3335b5c1191b37fd7421ec4d4e71a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:10.589ex; height:2.343ex;" alt="{\displaystyle 11-3=8}"></span></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Datoteka:Trade_First_Subtraction_Step_4.JPG" class="mw-file-description" title="'"`UNIQ--postMath-00000024-QINU`"'"><img alt="'"`UNIQ--postMath-00000024-QINU`"'" 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"><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 14-9=5}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>14</mn> <mo>−<!-- − --></mo> <mn>9</mn> <mo>=</mo> <mn>5</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 14-9=5}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9cd4b4860438637b1f9ec80d05cf26df21973d70" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:10.589ex; height:2.343ex;" alt="{\displaystyle 14-9=5}"></span></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Datoteka:Trade_First_Subtraction_Step_5.JPG" class="mw-file-description" title="'"`UNIQ--postMath-00000025-QINU`"'"><img alt="'"`UNIQ--postMath-00000025-QINU`"'" 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"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 6-7=2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>6</mn> <mo>−<!-- − --></mo> <mn>7</mn> <mo>=</mo> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 6-7=2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/97b5e13cf7b07c16282a7268b8c84a2ce4d63491" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:9.426ex; height:2.343ex;" alt="{\displaystyle 6-7=2}"></span></div> </li> </ul> <div class="mw-heading mw-heading3"><h3 id="Djelimična_razlika"><span id="Djelimi.C4.8Dna_razlika"></span>Djelimična razlika</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Oduzimanje&veaction=edit&section=8" title="Uredi odlomak "Djelimična razlika"" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Oduzimanje&action=edit&section=8" title="Edit section's source code: Djelimična razlika"><span>uredi izvor</span></a><span class="mw-editsection-bracket">]</span></span></div> <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/Datoteka:Partial-Differences_Subtraction_Step_1.JPG" class="mw-file-description" title="'"`UNIQ--postMath-00000026-QINU`"'"><img alt="'"`UNIQ--postMath-00000026-QINU`"'" 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"><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 700-400=300}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>700</mn> <mo>−<!-- − --></mo> <mn>400</mn> <mo>=</mo> <mn>300</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 700-400=300}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/34e8c213b465956379051b72042d463015849d45" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:16.401ex; height:2.343ex;" alt="{\displaystyle 700-400=300}"></span></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Datoteka:Partial-Differences_Subtraction_Step_2.JPG" class="mw-file-description" title="'"`UNIQ--postMath-00000027-QINU`"'"><img alt="'"`UNIQ--postMath-00000027-QINU`"'" 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"><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 90-50=40}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>90</mn> <mo>−<!-- − --></mo> <mn>50</mn> <mo>=</mo> <mn>40</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 90-50=40}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/72bd6577ed27a7f65f83ab827b8b206549da0843" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:12.914ex; height:2.343ex;" alt="{\displaystyle 90-50=40}"></span></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Datoteka:Partial-Differences_Subtraction_Step_3.JPG" class="mw-file-description" title="'"`UNIQ--postMath-00000028-QINU`"'"><img alt="'"`UNIQ--postMath-00000028-QINU`"'" 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"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 3-1=2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> <mo>−<!-- − --></mo> <mn>1</mn> <mo>=</mo> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3-1=2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/09bdf1ca439ba3f857af8da87f0a53a28648e2c8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:9.426ex; height:2.343ex;" alt="{\displaystyle 3-1=2}"></span></div> </li> <li class="gallerybox" style="width: 155px"> <div class="thumb" style="width: 150px; height: 150px;"><span typeof="mw:File"><a href="/wiki/Datoteka:Partial-Differences_Subtraction_Step_4.JPG" class="mw-file-description" title="'"`UNIQ--postMath-00000029-QINU`"'"><img alt="'"`UNIQ--postMath-00000029-QINU`"'" src="//upload.wikimedia.org/wikipedia/commons/thumb/0/08/Partial-Differences_Subtraction_Step_4.JPG/58px-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/88px-Partial-Differences_Subtraction_Step_4.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/08/Partial-Differences_Subtraction_Step_4.JPG/117px-Partial-Differences_Subtraction_Step_4.JPG 2x" data-file-width="215" data-file-height="440" /></a></span></div> <div class="gallerytext"><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 300-40+2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>300</mn> <mo>−<!-- − --></mo> <mn>40</mn> <mo>+</mo> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 300-40+2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/85456bbe78f0b430b26e4b6569c3652ffc308bb1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:12.656ex; height:2.343ex;" alt="{\displaystyle 300-40+2}"></span></div> </li> </ul> <div class="mw-heading mw-heading2"><h2 id="Oduzimanje_bez_potpisivanja">Oduzimanje bez potpisivanja</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Oduzimanje&veaction=edit&section=9" title="Uredi odlomak "Oduzimanje bez potpisivanja"" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Oduzimanje&action=edit&section=9" title="Edit section's source code: Oduzimanje bez potpisivanja"><span>uredi izvor</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Brojanje_do">Brojanje do</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Oduzimanje&veaction=edit&section=10" title="Uredi odlomak "Brojanje do"" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Oduzimanje&action=edit&section=10" title="Edit section's source code: Brojanje do"><span>uredi izvor</span></a><span class="mw-editsection-bracket">]</span></span></div> <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 1234-567=}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1234</mn> <mo>−<!-- − --></mo> <mn>567</mn> <mo>=</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1234-567=}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7831995b7a55dc9e542ba8358b595971cfd1293e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:13.431ex; height:2.343ex;" alt="{\displaystyle 1234-567=}"></span> </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 567+3=570}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>567</mn> <mo>+</mo> <mn>3</mn> <mo>=</mo> <mn>570</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 567+3=570}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/19c28e5c0d1723fd4cc16184b2ca2195a7062f72" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:14.076ex; height:2.343ex;" alt="{\displaystyle 567+3=570}"></span> </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 570+30=600}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>570</mn> <mo>+</mo> <mn>30</mn> <mo>=</mo> <mn>600</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 570+30=600}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/76697b6f75e38a4c9b65e46e204cdef9736b206b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:15.239ex; height:2.343ex;" alt="{\displaystyle 570+30=600}"></span> </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 600+400=1000}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>600</mn> <mo>+</mo> <mn>400</mn> <mo>=</mo> <mn>1000</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 600+400=1000}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/399a80b880902792b14700f7774be1e945b2d5da" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:17.563ex; height:2.343ex;" alt="{\displaystyle 600+400=1000}"></span> </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 1000+234=1234}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1000</mn> <mo>+</mo> <mn>234</mn> <mo>=</mo> <mn>1234</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1000+234=1234}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/19fe462ecd1852a601d86652f0a1654cfadf7752" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:18.726ex; height:2.343ex;" alt="{\displaystyle 1000+234=1234}"></span> </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 3+30+400+234=667}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>3</mn> <mo>+</mo> <mn>30</mn> <mo>+</mo> <mn>400</mn> <mo>+</mo> <mn>234</mn> <mo>=</mo> <mn>667</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 3+30+400+234=667}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7f34aa501ac2216f0b076ee69d501f1db86bc1bb" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:25.569ex; height:2.343ex;" alt="{\displaystyle 3+30+400+234=667}"></span> </p> <div class="mw-heading mw-heading3"><h3 id="Razbijanjem_umanjioca">Razbijanjem umanjioca</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Oduzimanje&veaction=edit&section=11" title="Uredi odlomak "Razbijanjem umanjioca"" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Oduzimanje&action=edit&section=11" title="Edit section's source code: Razbijanjem umanjioca"><span>uredi izvor</span></a><span class="mw-editsection-bracket">]</span></span></div> <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 1234-500=734}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1234</mn> <mo>−<!-- − --></mo> <mn>500</mn> <mo>=</mo> <mn>734</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1234-500=734}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/041e9710c47c116f1e80c9b7947b5275f3058160" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:17.563ex; height:2.343ex;" alt="{\displaystyle 1234-500=734}"></span> </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 734-60=674}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>734</mn> <mo>−<!-- − --></mo> <mn>60</mn> <mo>=</mo> <mn>674</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 734-60=674}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cd0471234dcb06ca8cad2ff1760a24baa45261aa" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:15.239ex; height:2.343ex;" alt="{\displaystyle 734-60=674}"></span> </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 674-7=667}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>674</mn> <mo>−<!-- − --></mo> <mn>7</mn> <mo>=</mo> <mn>667</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 674-7=667}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/01dfea14432077d5896f356588f24cd661812609" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:14.076ex; height:2.343ex;" alt="{\displaystyle 674-7=667}"></span> </p> <div class="mw-heading mw-heading3"><h3 id="Jednaka_promjena">Jednaka promjena</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Oduzimanje&veaction=edit&section=12" title="Uredi odlomak "Jednaka promjena"" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Oduzimanje&action=edit&section=12" title="Edit section's source code: Jednaka promjena"><span>uredi izvor</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Dodavanjem ili oduzimanjem istog broja umanjeniku i umanjiocu rezultat se ne mijenje. </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 1234-567=1237-570=1267-600=667}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1234</mn> <mo>−<!-- − --></mo> <mn>567</mn> <mo>=</mo> <mn>1237</mn> <mo>−<!-- − --></mo> <mn>570</mn> <mo>=</mo> <mn>1267</mn> <mo>−<!-- − --></mo> <mn>600</mn> <mo>=</mo> <mn>667</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1234-567=1237-570=1267-600=667}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bbe49e2ae1011ce4432906ac7f2b5a6b8b66e2e4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:45.716ex; height:2.343ex;" alt="{\displaystyle 1234-567=1237-570=1267-600=667}"></span> </p> <div class="mw-heading mw-heading2"><h2 id="Izvori">Izvori</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Oduzimanje&veaction=edit&section=13" title="Uredi odlomak "Izvori"" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Oduzimanje&action=edit&section=13" title="Edit section's source code: Izvori"><span>uredi izvor</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Browell, W. A. (1939). Learning as reorganization: An experimental study in third-grade arithmetic, Duke University Press.</li> <li>Subtraction in the United States: An Historical Perspective, Susan Ross, Mary Pratt-Cotter, <i>The Mathematics Educator</i>, Vol. 8, No. 1 (original publication) and Vol. 10, No. 1 (reprint.) <a rel="nofollow" class="external free" href="https://web.archive.org/web/20170811133911/http://math.coe.uga.edu/tme/issues/v10n2/5ross.pdf">https://web.archive.org/web/20170811133911/http://math.coe.uga.edu/tme/issues/v10n2/5ross.pdf</a></li></ul> <p><br /> </p> <style data-mw-deduplicate="TemplateStyles:r3627399">.mw-parser-output .side-box{margin:4px 0;box-sizing:border-box;border:1px solid #aaa;font-size:88%;line-height:1.25em;background-color:#f9f9f9;display:flow-root}.mw-parser-output .side-box-abovebelow,.mw-parser-output .side-box-text{padding:0.25em 0.9em}.mw-parser-output .side-box-image{padding:2px 0 2px 0.9em;text-align:center}.mw-parser-output .side-box-imageright{padding:2px 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