{"id":93361,"date":"2017-01-09T14:09:03","date_gmt":"2017-01-09T16:09:03","guid":{"rendered":"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/?p=93361"},"modified":"2026-05-14T18:55:38","modified_gmt":"2026-05-14T20:55:38","slug":"adicao","status":"publish","type":"post","link":"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/matematica\/adicao","title":{"rendered":"Adi\u00e7\u00e3o"},"content":{"rendered":"<p><span class=\"HwtZe\" lang=\"pt\"><span class=\"jCAhz ChMk0b\"><span class=\"ryNqvb\">A\u00a0<b>adi\u00e7\u00e3o<\/b>\u00a0\u00e9 uma forma de combinar coisas e cont\u00e1-las juntas como um grande grupo.<\/span><\/span><\/span><\/p>\n<p>A\u00a0<b>adi\u00e7\u00e3o<\/b>\u00a0\u00e9 uma das quatro opera\u00e7\u00f5es b\u00e1sicas da aritm\u00e9tica (juntamente com a subtra\u00e7\u00e3o, a multiplica\u00e7\u00e3o e a divis\u00e3o), definida como o processo de combinar dois ou mais n\u00fameros para encontrar a sua soma total.<\/p>\n<p>A\u00a0<b>adi\u00e7\u00e3o<\/b>\u00a0une dois ou mais n\u00fameros (parcelas) para encontrar um valor \u00fanico, conhecido como soma ou total, sendo amplamente utilizada para contar grupos combinados<\/p>\n<p>Representada pelo sinal de mais (+), significa aumentar uma quantidade, como 2 + 2 = 4, e \u00e9 essencial para tarefas di\u00e1rias que envolvem tempo e dinheiro.<\/p>\n<p align=\"center\"><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter size-full wp-image-177762\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/adicao-1.jpg\" alt=\"Adi\u00e7\u00e3o\" width=\"437\" height=\"249\" srcset=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/adicao-1.jpg 437w, https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/adicao-1-300x171.jpg 300w\" sizes=\"(max-width: 437px) 100vw, 437px\" \/><b>Adi\u00e7\u00e3o<\/b><\/p>\n<p align=\"left\"><b>Adi\u00e7\u00e3o &#8211; O que \u00e9<\/b><\/p>\n<p>A opera\u00e7\u00e3o da adi\u00e7\u00e3o consiste em somar elementos iguais. Podemos somar, por exemplo, vari\u00e1veis iguais, termos independentes iguais.<\/p>\n<p><strong>Ex:\u00a0<\/strong>1+1 = 2<\/p>\n<p><strong>Ex:\u00a0<\/strong>x+x = 2*x<\/p>\n<p><strong>As principais propriedades da adi\u00e7\u00e3o s\u00e3o:<\/strong><\/p>\n<p><strong>Associatividade:<\/strong>\u00a0podemos associar termos da soma e ainda obter o mesmo resultado.<\/p>\n<p><strong>Ex:<\/strong>\u00a0(x + y) + z = x + (y + z)<\/p>\n<p><strong>Ex:<\/strong>\u00a0(3 + 4) + 5 = 3 + (4 + 5) = 12<\/p>\n<p><strong>Comutatividade:<\/strong>\u00a0podemos comutar, isto \u00e9, intercambiar os termos da soma e ainda obter o mesmo resultado.<\/p>\n<p><strong>Ex:<\/strong>\u00a0x + y = y + x<\/p>\n<p><strong>Ex:<\/strong>\u00a06 + 11 = 11 + 6 = 17<\/p>\n<p><strong>Exist\u00eancia de um elemento neutro:<\/strong>\u00a0existe um elemento que, quando somado a qualquer equa\u00e7\u00e3o n\u00e3o altera seu resultado. No caso da adi\u00e7\u00e3o, esse elemento \u00e9 o n\u00famero zero (0).<\/p>\n<p><strong>Exist\u00eancia de um elemento inverso:<\/strong>\u00a0temos um elemento inverso quando a soma de um elemento e seu inverso sempre gera o elemento neutro.<\/p>\n<p><strong>Ex:<\/strong>\u00a0x+(-x) = 0<\/p>\n<p><strong>Ex:<\/strong>\u00a030+(-30) = 0<\/p>\n<p><b>Adi\u00e7\u00e3o &#8211; Exemplos<\/b><\/p>\n<p><strong>Ex:<\/strong>\u00a034+32 = 66<\/p>\n<p><strong>Ex:<\/strong>\u00a0234 + 12 = 246<\/p>\n<p><strong>Ex:<\/strong>\u00a0345 + 123 = 468<\/p>\n<p><strong>Ex:<\/strong>\u00a043756 + 1245 = 45001<\/p>\n<p><strong>Ex:<\/strong>\u00a0930 + 21 = 951<\/p>\n<p><strong>Pontos de aten\u00e7\u00e3o importantes<\/strong><\/p>\n<p><strong>Aten\u00e7\u00e3o:\u00a0<\/strong>n\u00e3o podemos somar elementos diferentes, isto \u00e9, n\u00e3o podemos somar express\u00f5es da forma.<\/p>\n<p><strong>Ex:<\/strong>\u00a0x + xy<\/p>\n<p>O que podemos fazer \u00e9 isolar o termo em comum nos dois termos<\/p>\n<p><strong>Ex:<\/strong>\u00a0x + xy = x (1 + y)<\/p>\n<p>Uma ferramenta muito importante para a solu\u00e7\u00e3o de equa\u00e7\u00f5es \u00e9 a identidade de coeficiente de polin\u00f4mios, isto \u00e9, reconhecer os termos de polin\u00f4mios iguais e realizar opera\u00e7\u00f5es somente entre eles.<\/p>\n<p><strong>Ex:<\/strong>\u00a0x<sup>5<\/sup>\u00a0+ 87x\u00b3 + 23x\u00b2 = x<sup>4<\/sup>\u00a0+ 7x\u00b3 + 23x\u00b2<\/p>\n<p><strong>Note que somente podemos somar termos de expoentes iguais!<\/strong><\/p>\n<p><b>Ex:<\/b>\u00a0x<sup>5<\/sup>\u00a0+ 80x\u00b3 \u2212 x<sup>4<\/sup>\u00a0= 0<\/p>\n<p><strong>Aten\u00e7\u00e3o:<\/strong>\u00a0N\u00e3o podemos somar n\u00fameros reais e n\u00fameros puramente imagin\u00e1rios, sendo um\u00a0n\u00famero imagin\u00e1rio definido por\u00a0<em>i<\/em>\u00b2 = 1.<\/p>\n<p><strong>Ex:<\/strong>\u00a03 + 8i = a + 2i<br \/>\n3 + 6i = a<\/p>\n<p><strong>Fonte:<\/strong>\u00a0Col\u00e9gio S\u00e3o Francisco\/Luisa Boccardo Burini<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A\u00a0adi\u00e7\u00e3o\u00a0\u00e9 uma forma de combinar coisas e cont\u00e1-las juntas como um grande grupo. A\u00a0adi\u00e7\u00e3o\u00a0\u00e9 uma das quatro opera\u00e7\u00f5es b\u00e1sicas da aritm\u00e9tica (juntamente com a subtra\u00e7\u00e3o, a multiplica\u00e7\u00e3o e a divis\u00e3o), definida como o processo de combinar dois ou mais n\u00fameros para encontrar a sua soma total. A\u00a0adi\u00e7\u00e3o\u00a0une dois ou mais n\u00fameros (parcelas) para encontrar um [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[414],"tags":[],"class_list":["post-93361","post","type-post","status-publish","format-standard","hentry","category-matematica"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Adi\u00e7\u00e3o, Opera\u00e7\u00e3o, Somar, Elemento, Aritm\u00e9tica Adi\u00e7\u00e3o<\/title>\n<meta name=\"description\" content=\"Adi\u00e7\u00e3o, Opera\u00e7\u00e3o, Somar, Elemento, Aritm\u00e9tica, Iguais, N\u00fameros, Grupo, Vari\u00e1veis, Propriedades, Exemplo, Adi\u00e7\u00e3o\" \/>\n<meta name=\"robots\" content=\"noindex, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" 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