{"id":12788,"date":"2017-10-29T01:15:09","date_gmt":"2017-10-29T01:15:09","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=12788"},"modified":"2022-01-08T17:49:04","modified_gmt":"2022-01-08T17:49:04","slug":"enquadra-cada-uma-das-seguintes-expressoes","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=12788","title":{"rendered":"Enquadra cada uma das seguintes express\u00f5es"},"content":{"rendered":"<p><ul id='GTTabs_ul_12788' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_12788' class='GTTabs_curr'><a  id=\"12788_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_12788' ><a  id=\"12788_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_12788'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Enquadra cada uma das seguintes express\u00f5es por n\u00fameros racionais, com um erro inferior a\u00a0\\(0,02\\).<\/p>\n<ol style=\"list-style-type: lower-alpha;\">\n<li>\\(\\sqrt 3 + \\frac{1}{3}\\)<\/li>\n<li>\\(\\sqrt 3 + \\sqrt 5 \\)<\/li>\n<li>\\(\\frac{1}{7} + \\sqrt[3]{7}\\)<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_12788' onClick='GTTabs_show(1,12788)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_12788'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Enquadra cada uma das seguintes express\u00f5es por n\u00fameros racionais, com um erro inferior a\u00a0\\(0,02\\).<\/p>\n<ol>\n<li>\\(\\sqrt 3 + \\frac{1}{3}\\)\n<p>\\(\\sqrt 3 = 1,73205&#8230;\\)<br \/>\n\\(\\frac{1}{3} = 0,\\left( 3 \\right)\\)<br \/>\n\\[\\begin{array}{*{20}{c}}{1,7 &lt; \\sqrt 3 &lt; 1,8}\\\\{0,3 &lt; \\frac{1}{3} &lt; 0,4}\\\\\\hline{2,0 &lt; \\sqrt 3 + \\frac{1}{3} &lt; 2,2}\\end{array}\\]<\/p>\n<\/li>\n<li>\\(\\sqrt 3 + \\sqrt 5 \\)\n<p>\\(\\sqrt 3 = 1,73205&#8230;\\)<br \/>\n\\(\\sqrt 5 = 2,23606&#8230;\\)<br \/>\n\\[\\begin{array}{*{20}{c}}{1,7 &lt; \\sqrt 3 &lt; 1,8}\\\\{2,2 &lt; \\sqrt 5 &lt; 2,3}\\\\\\hline{3,9 &lt; \\sqrt 3 + \\sqrt 5 &lt; 4,1}\\end{array}\\]<\/p>\n<\/li>\n<li>\\(\\frac{1}{7} + \\sqrt[3]{7}\\)\n<p>\\(\\frac{1}{7} = 0,\\left( {142857} \\right)\\)<br \/>\n\\(\\sqrt[3]{7} = 1,91293&#8230;\\)<br \/>\n\\[\\begin{array}{*{20}{c}}{0,1 &lt; \\frac{1}{7} &lt; 0,2}\\\\{1,9 &lt; \\sqrt[3]{7} &lt; 2,0}\\\\\\hline{2,0 &lt; \\frac{1}{7} + \\sqrt[3]{7} &lt; 2,2}\\end{array}\\]<\/p>\n<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_12788' onClick='GTTabs_show(0,12788)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Enquadra cada uma das seguintes express\u00f5es por n\u00fameros racionais, com um erro inferior a\u00a0\\(0,02\\). \\(\\sqrt 3 + \\frac{1}{3}\\) \\(\\sqrt 3 + \\sqrt 5 \\) \\(\\frac{1}{7} + \\sqrt[3]{7}\\) Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt;&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":12799,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,258],"tags":[443,442],"series":[],"class_list":["post-12788","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-os-numeros-reais","tag-enquadramento","tag-valor-aproximado"],"views":2472,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2017\/10\/Enquadramento.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/12788","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=12788"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/12788\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/12799"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=12788"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=12788"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=12788"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=12788"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}