{"id":23419,"date":"2022-12-06T10:16:38","date_gmt":"2022-12-06T10:16:38","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=23419"},"modified":"2022-12-11T17:41:38","modified_gmt":"2022-12-11T17:41:38","slug":"copia-e-completa-9","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=23419","title":{"rendered":"Copia e completa"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_23419' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_23419' class='GTTabs_curr'><a  id=\"23419_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_23419' ><a  id=\"23419_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_23419'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Copia e completa, usando os s\u00edmbolos &lt; ou &gt;.<\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 111px;\">\n<tbody>\n<tr style=\"height: 44px;\">\n<td style=\"width: 25%; height: 44px;\">\\( &#8211; \\sqrt 2 \\ldots &#8211; 1,5\\)<\/td>\n<td style=\"width: 25%; height: 44px;\">\\(\\sqrt {13} \\ldots \\sqrt {14} \\)<\/td>\n<td style=\"width: 25%; height: 44px;\">\\( &#8211; \\frac{2}{5} \\ldots &#8211; \\frac{2}{7}\\)<\/td>\n<td style=\"width: 25%; height: 44px;\">\\( &#8211; \\frac{5}{7} \\ldots &#8211; \\frac{4}{7}\\)<\/td>\n<\/tr>\n<tr style=\"height: 44px;\">\n<td style=\"width: 25%; height: 44px;\">\\(\\sqrt {15} \\ldots \\pi \\)<\/td>\n<td style=\"width: 25%; height: 44px;\">\\(\\frac{8}{3} \\ldots \\frac{7}{3}\\)<\/td>\n<td style=\"width: 25%; height: 44px;\">\\( &#8211; 3 \\ldots &#8211; \\sqrt 5 \\)<\/td>\n<td style=\"width: 25%; height: 44px;\">\\(0,3 \\ldots 0,\\left( 3 \\right)\\)<\/td>\n<\/tr>\n<tr style=\"height: 23px;\">\n<td style=\"width: 25%; height: 23px;\">\\( &#8211; \\sqrt 2 \\ldots &#8211; \\sqrt 3 \\)<\/td>\n<td style=\"width: 25%; height: 23px;\">\\(\\sqrt {51} \\ldots 7\\)<\/td>\n<td style=\"width: 25%; height: 23px;\">\\(9 \\ldots \\sqrt {105} \\)<\/td>\n<td style=\"width: 25%; height: 23px;\">\\( &#8211; \\sqrt 3 \\ldots &#8211; 2\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_23419' onClick='GTTabs_show(1,23419)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_23419'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>As desigualdades est\u00e3o estabelecidas na tabela seguinte.<\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 111px;\">\n<tbody>\n<tr style=\"height: 44px;\">\n<td style=\"width: 25%; height: 44px;\">\\( &#8211; \\sqrt 2 &gt; &#8211; 1,5\\)<\/td>\n<td style=\"width: 25%; height: 44px;\">\\(\\sqrt {13} &lt; \\sqrt {14} \\)<\/td>\n<td style=\"width: 25%; height: 44px;\">\\( &#8211; \\frac{2}{5} &lt; &#8211; \\frac{2}{7}\\)<\/td>\n<td style=\"width: 25%; height: 44px;\">\\( &#8211; \\frac{5}{7} &lt; &#8211; \\frac{4}{7}\\)<\/td>\n<\/tr>\n<tr style=\"height: 44px;\">\n<td style=\"width: 25%; height: 44px;\">\\(\\sqrt {15} &gt; \\pi \\)<\/td>\n<td style=\"width: 25%; height: 44px;\">\\(\\frac{8}{3} &gt; \\frac{7}{3}\\)<\/td>\n<td style=\"width: 25%; height: 44px;\">\\( &#8211; 3 &lt; &#8211; \\sqrt 5 \\)<\/td>\n<td style=\"width: 25%; height: 44px;\">\\(0,3 &lt; 0,\\left( 3 \\right)\\)<\/td>\n<\/tr>\n<tr style=\"height: 23px;\">\n<td style=\"width: 25%; height: 23px;\">\\( &#8211; \\sqrt 2 &gt; &#8211; \\sqrt 3 \\)<\/td>\n<td style=\"width: 25%; height: 23px;\">\\(\\sqrt {51} &gt; 7\\)<\/td>\n<td style=\"width: 25%; height: 23px;\">\\(9 &lt; \\sqrt {105} \\)<\/td>\n<td style=\"width: 25%; height: 23px;\">\\( &#8211; \\sqrt 3 &gt; &#8211; 2\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u00a0<\/p>\n<h6>Notas explicativas<\/h6>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 50%;\"><strong>Desigualdade<\/strong><\/td>\n<td style=\"width: 50%;\"><strong>Explica\u00e7\u00e3o<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">\\( &#8211; \\sqrt 2 &gt; &#8211; 1,5\\)<\/td>\n<td style=\"width: 50%;\">\\(\\sqrt 2 \\approx 1,4142\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">\\(\\sqrt {13} &lt; \\sqrt {14} \\)<\/td>\n<td style=\"width: 50%;\">N\u00e3o necess\u00e1ria<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">\\( &#8211; \\frac{2}{5} &lt; &#8211; \\frac{2}{7}\\)<\/td>\n<td style=\"width: 50%;\">\\(\\frac{2}{5} &gt; \\frac{2}{7}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">\\( &#8211; \\frac{5}{7} &lt; &#8211; \\frac{4}{7}\\)<\/td>\n<td style=\"width: 50%;\">\\(\\frac{5}{7} &gt; \\frac{4}{7}\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">\\(\\sqrt {15} &gt; \\pi \\)<\/td>\n<td style=\"width: 50%;\">\\({\\left( {\\sqrt {15} } \\right)^2} &gt; {3,2^2} \\Leftrightarrow 15 &gt; 10,24\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">\\(\\frac{8}{3} &gt; \\frac{7}{3}\\)<\/td>\n<td style=\"width: 50%;\">N\u00e3o necess\u00e1ria<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">\\( &#8211; 3 &lt; &#8211; \\sqrt 5 \\)<\/td>\n<td style=\"width: 50%;\">\\(\\sqrt 9 &gt; \\sqrt 5 \\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">\\(0,3 &lt; 0,\\left( 3 \\right)\\)<\/td>\n<td style=\"width: 50%;\">N\u00e3o necess\u00e1ria<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">\\( &#8211; \\sqrt 2 &gt; &#8211; \\sqrt 3 \\)<\/td>\n<td style=\"width: 50%;\">\\(\\sqrt 2 &lt; \\sqrt 3 \\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">\\(\\sqrt {51} &gt; 7\\)<\/td>\n<td style=\"width: 50%;\">\\(\\sqrt {51} &gt; \\sqrt {49} \\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">\\(9 &lt; \\sqrt {105} \\)<\/td>\n<td style=\"width: 50%;\">\\(\\sqrt {81} &lt; \\sqrt {105} \\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 50%;\">\\( &#8211; \\sqrt 3 &gt; &#8211; 2\\)<\/td>\n<td style=\"width: 50%;\">\\(\\sqrt 3 &lt; \\sqrt 4 \\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_23419' onClick='GTTabs_show(0,23419)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Copia e completa, usando os s\u00edmbolos &lt; ou &gt;. \\( &#8211; \\sqrt 2 \\ldots &#8211; 1,5\\) \\(\\sqrt {13} \\ldots \\sqrt {14} \\) \\( &#8211; \\frac{2}{5} \\ldots &#8211; \\frac{2}{7}\\) \\( &#8211; \\frac{5}{7}&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":14083,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,682],"tags":[424,67,266],"series":[],"class_list":["post-23419","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-teorema-de-pitagoras","tag-8-o-ano","tag-geometria","tag-numeros-reais"],"views":163,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/Mat28.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23419","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=23419"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23419\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14083"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=23419"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=23419"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=23419"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=23419"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}