{"id":10602,"date":"2012-10-16T19:18:45","date_gmt":"2012-10-16T18:18:45","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=10602"},"modified":"2022-01-01T01:18:53","modified_gmt":"2022-01-01T01:18:53","slug":"copia-e-completa-2","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=10602","title":{"rendered":"Copia e completa"},"content":{"rendered":"<p><ul id='GTTabs_ul_10602' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_10602' class='GTTabs_curr'><a  id=\"10602_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_10602' ><a  id=\"10602_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_10602'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Copia e completa com $ \\in $ ou $ \\notin $:<\/p>\n<ol>\n<li>$12 \\div ( &#8211; 3) \\ldots\u00a0 \\ldots\u00a0 \\ldots {\\mathbb{N}_0}$<\/li>\n<li>$3 \\div ( &#8211; 3) \\ldots\u00a0 \\ldots\u00a0 \\ldots \\mathbb{Z}$<\/li>\n<li>$13 \\div ( &#8211; 2) \\ldots\u00a0 \\ldots\u00a0 \\ldots \\mathbb{Z}$<\/li>\n<li>$5 \\div ( &#8211; 2) \\ldots\u00a0 \\ldots\u00a0 \\ldots \\mathbb{N}$<\/li>\n<li>$ &#8211; 4 \\div ( &#8211; 1) \\ldots\u00a0 \\ldots\u00a0 \\ldots {\\mathbb{Z}^ &#8211; }$<\/li>\n<li>$0 \\div ( &#8211; 3) \\ldots\u00a0 \\ldots\u00a0 \\ldots {\\mathbb{N}_0}$<\/li>\n<li>$ &#8211; 3 \\div 1 \\ldots\u00a0 \\ldots\u00a0 \\ldots {\\mathbb{Z}^ &#8211; }$<\/li>\n<li>$1 \\div 3 \\ldots\u00a0 \\ldots\u00a0 \\ldots \\mathbb{Z}$<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_10602' onClick='GTTabs_show(1,10602)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_10602'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Recorda:<\/p>\n<blockquote>\n<p>$$\\begin{array}{*{20}{l}}<br \/>\n{\\mathbb{N} = \\left\\{ {1,2,3,4,5,&#8230;} \\right\\}}&amp;{{\\text{(Conjunto dos n\u00fameros naturais)}}} \\\\<br \/>\n{{\\mathbb{N}_0} = \\left\\{ {0,1,2,3,4,5,&#8230;} \\right\\}}&amp;{{\\text{(Conjunto dos n\u00fameros inteiros n\u00e3o negativos)}}} \\\\<br \/>\n{{\\mathbb{Z}^ &#8211; } = \\left\\{ {&#8230;, &#8211; 5, &#8211; 4, &#8211; 3, &#8211; 2, &#8211; 1} \\right\\}}&amp;{{\\text{(Conjunto dos n\u00fameros inteiros negativos)}}} \\\\<br \/>\n{{\\mathbb{Z}^ + } = \\mathbb{N} = \\left\\{ {1,2,3,4,5,&#8230;} \\right\\}}&amp;{{\\text{(Conjunto dos n\u00fameros inteiros positivos)}}} \\\\<br \/>\n{\\mathbb{Z} = \\left\\{ {&#8230;, &#8211; 5, &#8211; 4, &#8211; 3, &#8211; 2, &#8211; 1,0,1,2,3,4,5,&#8230;} \\right\\}}&amp;{{\\text{(Conjunto dos n\u00fameros inteiros relativos)}}}<br \/>\n\\end{array}$$<\/p>\n<\/blockquote>\n<p>\u00ad<\/p>\n<ol>\n<li>$12 \\div ( &#8211; 3) \\ldots\u00a0 \\notin\u00a0 \\ldots {\\mathbb{N}_0}$, pois $12 \\div ( &#8211; 3) =\u00a0 &#8211; 4$.<br \/>\n\u00ad<\/li>\n<li>$3 \\div ( &#8211; 3) \\ldots\u00a0 \\in\u00a0 \\ldots \\mathbb{Z}$, pois $3 \\div ( &#8211; 3) =\u00a0 &#8211; 1$.<br \/>\n\u00ad<\/li>\n<li>$13 \\div ( &#8211; 2) \\ldots\u00a0 \\notin\u00a0 \\ldots \\mathbb{Z}$, pois $13 \\div ( &#8211; 2) =\u00a0 &#8211; 6,5$.<br \/>\n\u00ad<\/li>\n<li>$5 \\div ( &#8211; 2) \\ldots\u00a0 \\notin\u00a0 \\ldots \\mathbb{N}$, pois $5 \\div ( &#8211; 2) =\u00a0 &#8211; 2,5$.<br \/>\n\u00ad<\/li>\n<li>$ &#8211; 4 \\div ( &#8211; 1) \\ldots\u00a0 \\notin\u00a0 \\ldots {\\mathbb{Z}^ &#8211; }$, pois $ &#8211; 4 \\div ( &#8211; 1) = 4$.<br \/>\n\u00ad<\/li>\n<li>$0 \\div ( &#8211; 3) \\ldots\u00a0 \\in\u00a0 \\ldots {\\mathbb{N}_0}$, pois $0 \\div ( &#8211; 3) = 0$.<br \/>\n\u00ad<\/li>\n<li>$ &#8211; 3 \\div 1 \\ldots\u00a0 \\in\u00a0 \\ldots {\\mathbb{Z}^ &#8211; }$, pois $ &#8211; 3 \\div 1 =\u00a0 &#8211; 3$.<br \/>\n\u00ad<\/li>\n<li>$1 \\div 3 \\ldots\u00a0 \\notin\u00a0 \\ldots \\mathbb{Z}$, pois $1 \\div 3 = 1,\\left( 3 \\right)$.<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_10602' onClick='GTTabs_show(0,10602)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Copia e completa com $ \\in $ ou $ \\notin $: $12 \\div ( &#8211; 3) \\ldots\u00a0 \\ldots\u00a0 \\ldots {\\mathbb{N}_0}$ $3 \\div ( &#8211; 3) \\ldots\u00a0 \\ldots\u00a0 \\ldots \\mathbb{Z}$ $13 \\div&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19189,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[317,97,318],"tags":[428,330,319],"series":[],"class_list":["post-10602","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-7-o-ano","category-aplicando","category-numeros-inteiros","tag-7-o-ano","tag-divisao","tag-numeros-inteiros-2"],"views":2540,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat75.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/10602","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=10602"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/10602\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19189"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=10602"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=10602"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=10602"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=10602"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}