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{"id":22272,"date":"2022-10-15T21:15:52","date_gmt":"2022-10-15T20:15:52","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=22272"},"modified":"2022-10-15T23:42:41","modified_gmt":"2022-10-15T22:42:41","slug":"calcula-o-valor-numerico","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=22272","title":{"rendered":"Calcula o valor num\u00e9rico"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_22272' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_22272' class='GTTabs_curr'><a  id=\"22272_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_22272' ><a  id=\"22272_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_22272'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Calcula o valor num\u00e9rico de cada uma das seguintes express\u00f5es:<\/p>\n<table>\n<tbody>\n<tr>\n<td style=\"width: 50%; text-align: left;\">\n<ol>\n<li>\\({0^3}\\)<\/li>\n<li>\\({7^2}\\)<\/li>\n<li>\\({\\left( { &#8211; 7} \\right)^2}\\)<\/li>\n<li>\\({10^2}\\)<\/li>\n<li>\\({\\left( { &#8211; 10} \\right)^3}\\)<\/li>\n<li>\\( &#8211; {10^2}\\)<\/li>\n<li>\\({\\left( {\\frac{3}{5}} \\right)^2}\\)<\/li>\n<\/ol>\n<\/td>\n<td style=\"width: 50%; text-align: left;\">\n<ol start=\"8\">\n<li>\\({\\left( { &#8211; \\frac{3}{5}} \\right)^2}\\)<\/li>\n<li>\\({\\left( { &#8211; \\frac{3}{5}} \\right)^3}\\)<\/li>\n<li>\\({\\left( {\\frac{3}{5}} \\right)^3}\\)<\/li>\n<li>\\({\\left( { &#8211; 0,3} \\right)^5}\\)<\/li>\n<li>\\({\\left( { &#8211; 0,3} \\right)^4}\\)<\/li>\n<li>\\({0,3^5}\\)<\/li>\n<li>\\({0,3^4}\\)<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span style=\"color: initial; font-size: revert;\"><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_22272' onClick='GTTabs_show(1,22272)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_22272'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><\/span><br \/><!--more--><\/p>\n<ol>\n<li>\\({0^3} = 0 \\times 0 \\times 0 = 0\\)<br \/><br \/><\/li>\n<li>\\({7^2} = 7 \\times 7 = 49\\)<br \/><br \/><\/li>\n<li>\\({\\left( { &#8211; 7} \\right)^2} = &#8211; 7 \\times \\left( { &#8211; 7} \\right) = 49\\)<br \/><br \/><\/li>\n<li>\\({10^2} = 10 \\times 10 = 100\\)<br \/><br \/><\/li>\n<li>\\({\\left( { &#8211; 10} \\right)^3} = &#8211; 10 \\times \\left( { &#8211; 10} \\right) \\times \\left( { &#8211; 10} \\right) = &#8211; 1000\\)<br \/><br \/><\/li>\n<li>\\( &#8211; {10^2} = &#8211; \\left( {{{10}^2}} \\right) = &#8211; \\left( {10 \\times 10} \\right) = &#8211; 100\\)<br \/><br \/><\/li>\n<li>\\({\\left( {\\frac{3}{5}} \\right)^2} = \\frac{3}{5} \\times \\frac{3}{5} = \\frac{9}{{25}}\\)<br \/><br \/><\/li>\n<li>\\({\\left( { &#8211; \\frac{3}{5}} \\right)^2} = &#8211; \\frac{3}{5} \\times \\left( { &#8211; \\frac{3}{5}} \\right) = \\frac{9}{{25}}\\)<br \/><br \/><\/li>\n<li>\\({\\left( { &#8211; \\frac{3}{5}} \\right)^3} = &#8211; \\frac{3}{5} \\times \\left( { &#8211; \\frac{3}{5}} \\right) \\times \\left( { &#8211; \\frac{3}{5}} \\right) = &#8211; \\frac{{27}}{{125}}\\)<br \/><br \/><\/li>\n<li>\\({\\left( {\\frac{3}{5}} \\right)^3} = \\frac{3}{5} \\times \\frac{3}{5} \\times \\frac{3}{5} = \\frac{{27}}{{125}}\\)<br \/><br \/><\/li>\n<li>\\({\\left( { &#8211; 0,3} \\right)^5} = &#8211; 0,3 \\times \\underbrace {\\left( { &#8211; 0,3} \\right) \\times \\left( { &#8211; 0,3} \\right)}_{0,09} \\times \\underbrace {\\left( { &#8211; 0,3} \\right) \\times \\left( { &#8211; 0,3} \\right)}_{0,09} = &#8211; 0,3 \\times 0,0081 = &#8211; 0,00243\\)<br \/><br \/><\/li>\n<li>\\({\\left( { &#8211; 0,3} \\right)^4} = &#8211; 0,3 \\times \\left( { &#8211; 0,3} \\right) \\times \\left( { &#8211; 0,3} \\right) \\times \\left( { &#8211; 0,3} \\right) = 0,0081\\)<br \/><br \/><\/li>\n<li>\\({0,3^5} = 0,3 \\times 0,3 \\times 0,3 \\times 0,3 \\times 0,3 = 0,00243\\)<br \/><br \/><\/li>\n<li>\\({0,3^4} = 0,3 \\times 0,3 \\times 0,3 \\times 0,3 = 0,0081\\)<\/li>\n<\/ol>\n<p>\u00a0<\/p>\n<p>Repetindo a quest\u00e3o 13 e passando a d\u00edzima a fra\u00e7\u00e3o irredut\u00edvel, vem:<\/p>\n<p>\\({0,3^5} = {\\left( {\\frac{3}{{10}}} \\right)^5} = \\frac{3}{{10}} \\times \\frac{3}{{10}} \\times \\frac{3}{{10}} \\times \\frac{3}{{10}} \\times \\frac{3}{{10}} = \\frac{{243}}{{100000}} = 0,00243\\)<\/p>\n<p>\u00a0<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_22272' onClick='GTTabs_show(0,22272)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Calcula o valor num\u00e9rico de cada uma das seguintes express\u00f5es: \\({0^3}\\) \\({7^2}\\) \\({\\left( { &#8211; 7} \\right)^2}\\) \\({10^2}\\) \\({\\left( { &#8211; 10} \\right)^3}\\) \\( &#8211; {10^2}\\) \\({\\left( {\\frac{3}{5}} \\right)^2}\\) \\({\\left( {&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19309,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,664],"tags":[424,142],"series":[],"class_list":["post-22272","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-numeros-reais","tag-8-o-ano","tag-potencias"],"views":274,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat113.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22272","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=22272"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22272\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19309"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=22272"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=22272"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=22272"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=22272"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}