{"id":6589,"date":"2011-03-09T23:06:28","date_gmt":"2011-03-09T23:06:28","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=6589"},"modified":"2022-01-03T00:47:58","modified_gmt":"2022-01-03T00:47:58","slug":"calcula-o-valor-numerico-das-expressoes","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=6589","title":{"rendered":"Calcula o valor num\u00e9rico das express\u00f5es"},"content":{"rendered":"<p><ul id='GTTabs_ul_6589' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_6589' class='GTTabs_curr'><a  id=\"6589_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_6589' ><a  id=\"6589_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_6589'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Calcula o valor num\u00e9rico das express\u00f5es, utilizando, sempre que poss\u00edvel, as regras das pot\u00eancias:<\/p>\n<ol>\n<li>${{(0,4)}^{-2}}\\times {{4}^{-2}}$<\/li>\n<li>${{(0,3)}^{-5}}\\div {{(-0,3)}^{-2}}$<\/li>\n<li>${{\\left( -\\frac{1}{4} \\right)}^{-3}}\\times {{\\left( -\\frac{1}{4} \\right)}^{2}}$<\/li>\n<li>${{(-100)}^{-2}}\\times {{(0,03)}^{-2}}$<\/li>\n<li>${{(0,125)}^{-4}}\\div {{\\left( \\frac{1}{2} \\right)}^{-4}}$<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_6589' onClick='GTTabs_show(1,6589)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_6589'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>Ora,<br \/>\n\\[{{(0,4)}^{-2}}\\times {{4}^{-2}}={{1,6}^{-2}}={{\\left( \\frac{16}{10} \\right)}^{-2}}={{\\left( \\frac{8}{5} \\right)}^{-2}}={{\\left( \\frac{5}{8} \\right)}^{2}}=\\frac{25}{64}\\]<\/li>\n<li>Ora,<br \/>\n\\[{{(0,3)}^{-5}}\\div {{(-0,3)}^{-2}}={{(0,3)}^{-5}}\\div {{(+0,3)}^{-2}}={{(0,3)}^{-5-(-2)}}={{\\left( \\frac{3}{10} \\right)}^{-3}}={{\\left( \\frac{10}{3} \\right)}^{3}}=\\frac{1000}{27}\\]<\/li>\n<li>Ora,<br \/>\n\\[{{\\left( -\\frac{1}{4} \\right)}^{-3}}\\times {{\\left( -\\frac{1}{4} \\right)}^{2}}={{\\left( -\\frac{1}{4} \\right)}^{-1}}=-4\\]<\/li>\n<li>Ora,<br \/>\n\\[{{(-100)}^{-2}}\\times {{(0,03)}^{-2}}={{(-3)}^{-2}}={{\\left( -\\frac{1}{3} \\right)}^{2}}=\\frac{1}{9}\\]<\/li>\n<li>Ora,<br \/>\n\\[{{(0,125)}^{-4}}\\div {{\\left( \\frac{1}{2} \\right)}^{-4}}={{\\left( \\frac{1}{8} \\right)}^{-4}}\\div {{\\left( \\frac{1}{2} \\right)}^{-4}}={{\\left( \\frac{1}{8}\\div \\frac{1}{2} \\right)}^{-4}}={{\\left( \\frac{1}{8}\\times 2 \\right)}^{-4}}={{\\left( \\frac{1}{4} \\right)}^{-4}}={{4}^{4}}=256\\]<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_6589' onClick='GTTabs_show(0,6589)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Calcula o valor num\u00e9rico das express\u00f5es, utilizando, sempre que poss\u00edvel, as regras das pot\u00eancias: ${{(0,4)}^{-2}}\\times {{4}^{-2}}$ ${{(0,3)}^{-5}}\\div {{(-0,3)}^{-2}}$ ${{\\left( -\\frac{1}{4} \\right)}^{-3}}\\times {{\\left( -\\frac{1}{4} \\right)}^{2}}$ ${{(-100)}^{-2}}\\times {{(0,03)}^{-2}}$ ${{(0,125)}^{-4}}\\div {{\\left( \\frac{1}{2} \\right)}^{-4}}$ Resolu\u00e7\u00e3o&#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":[100,137,97],"tags":[142],"series":[],"class_list":["post-6589","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-ainda-os-numeros","category-aplicando","tag-potencias"],"views":3424,"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\/6589","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=6589"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6589\/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=6589"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6589"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6589"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=6589"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}