{"id":9679,"date":"2012-10-01T16:53:09","date_gmt":"2012-10-01T15:53:09","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=9679"},"modified":"2021-12-31T22:46:15","modified_gmt":"2021-12-31T22:46:15","slug":"quais-sao-os-sinais-dos-dois-numeros","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=9679","title":{"rendered":"Quais s\u00e3o os sinais dos dois n\u00fameros?"},"content":{"rendered":"<p><ul id='GTTabs_ul_9679' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_9679' class='GTTabs_curr'><a  id=\"9679_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_9679' ><a  id=\"9679_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_9679'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>De dois n\u00fameros inteiros, sabe-se que:<\/p>\n<ul>\n<li>a sua soma \u00e9 negativa;<\/li>\n<li>e o seu produto \u00e9 positivo.<\/li>\n<\/ul>\n<p>Quais s\u00e3o os sinais dos dois n\u00fameros?<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_9679' onClick='GTTabs_show(1,9679)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_9679'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Se a soma dos dois n\u00fameros \u00e9 negativa, ent\u00e3o \u00e9 negativo o n\u00famero de maior valor absoluto (o outro pode ser positivo ou negativo).<\/p>\n<p>Por outro lado, se o produto dos dois n\u00fameros \u00e9 positivo, ent\u00e3o ambos s\u00e3o negativos ou ambos s\u00e3o positivos.<\/p>\n<p>Logo, conclui-se que os dois n\u00fameros s\u00e3o negativos.<\/p>\n<\/p>\n<p><strong><span style=\"text-decoration: underline;\">Exemplo (que serve)<\/span><\/strong>:<\/p>\n<p>Consideremos os n\u00fameros $-5$ e $-17$.<\/p>\n<ul>\n<li>A sua soma \u00e9 <span style=\"color: #ff0000;\">negativa<\/span>: $\\left( { &#8211; 5} \\right) + \\left( { &#8211; 17} \\right) =\u00a0 &#8211; 22$;<\/li>\n<li>O seu produto \u00e9 <span style=\"color: #0000ff;\">positivo<\/span>: $\\left( { &#8211; 5} \\right) \\times \\left( { &#8211; 17} \\right) =\u00a0 + 85$.<\/li>\n<\/ul>\n<p><span style=\"text-decoration: underline;\"><strong>Exemplo (que N\u00c3O serve)<\/strong><\/span>:<\/p>\n<p>Consideremos os n\u00fameros $+5$ e $-17$.<\/p>\n<ul>\n<li>A sua soma \u00e9 <span style=\"color: #ff0000;\">negativa<\/span>: $\\left( { + 5} \\right) + \\left( { &#8211; 17} \\right) =\u00a0 &#8211; 12$;<\/li>\n<li>O seu produto \u00e9 <span style=\"color: #ff0000;\">negativo<\/span>: $\\left( { + 5} \\right) \\times \\left( { &#8211; 17} \\right) =\u00a0 &#8211; 85$.<\/li>\n<\/ul>\n<p><span style=\"text-decoration: underline;\"><strong>Exemplo (que N\u00c3O serve)<\/strong><\/span>:<\/p>\n<p>Consideremos os n\u00fameros $-5$ e $+17$.<\/p>\n<ul>\n<li>A sua soma \u00e9 <span style=\"color: #0000ff;\">positiva<\/span>: $\\left( { &#8211; 5} \\right) + \\left( { + 17} \\right) =\u00a0 + 12$;<\/li>\n<li>O seu produto \u00e9 <span style=\"color: #ff0000;\">negativo<\/span>: $\\left( { &#8211; 5} \\right) \\times \\left( { + 17} \\right) =\u00a0 &#8211; 85$.<\/li>\n<\/ul>\n<p><strong><span style=\"text-decoration: underline;\">Exemplo (que N\u00c3O serve)<\/span>:<\/strong><\/p>\n<p>Consideremos os n\u00fameros $+5$ e $+17$.<\/p>\n<ul>\n<li>A sua soma \u00e9 <span style=\"color: #0000ff;\">positiva<\/span>: $\\left( { + 5} \\right) + \\left( { + 17} \\right) =\u00a0 + 19$;<\/li>\n<li>O seu produto \u00e9 <span style=\"color: #0000ff;\">positivo<\/span>: $\\left( { + 5} \\right) \\times \\left( { + 17} \\right) =\u00a0 + 85$.<\/li>\n<\/ul>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_9679' onClick='GTTabs_show(0,9679)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado De dois n\u00fameros inteiros, sabe-se que: a sua soma \u00e9 negativa; e o seu produto \u00e9 positivo. Quais s\u00e3o os sinais dos dois n\u00fameros? Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":19261,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[317,97,318],"tags":[428,320,319],"series":[],"class_list":["post-9679","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-multiplicacao","tag-numeros-inteiros-2"],"views":1126,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat82.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/9679","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=9679"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/9679\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=9679"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=9679"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=9679"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=9679"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}