{"id":128436,"date":"2017-11-09T14:43:51","date_gmt":"2017-11-09T16:43:51","guid":{"rendered":"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/?p=128436"},"modified":"2026-05-27T09:20:35","modified_gmt":"2026-05-27T11:20:35","slug":"monomios","status":"publish","type":"post","link":"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/matematica\/monomios","title":{"rendered":"Mon\u00f4mios"},"content":{"rendered":"

Mon\u00f4mios – O que s\u00e3o<\/b><\/p>\n

Um\u00a0mon\u00f4mio<\/b>\u00a0\u00e9 um termo composto pela multiplica\u00e7\u00e3o entre uma constante conhecida\u00a0chamada\u00a0coeficiente<\/strong>\u00a0e inc\u00f3gnitas que s\u00e3o a\u00a0parte literal<\/strong>.<\/p>\n

Um\u00a0mon\u00f4mio<\/b>\u00a0\u00e9 uma express\u00e3o alg\u00e9brica que possui um \u00fanico termo, formado pela multiplica\u00e7\u00e3o entre um n\u00famero (coeficiente) e uma ou mais letras (parte literal). Por exemplo, no termo, o 3 \u00e9 o coeficiente e o\u00a0\u00a0\u00e9 a parte literal. Eles n\u00e3o possuem opera\u00e7\u00f5es de adi\u00e7\u00e3o ou subtra\u00e7\u00e3o entre si.<\/p>\n

Coeficiente:\u00a0<\/b>\u00c9 o valor num\u00e9rico que fica na frente da parte literal. Se n\u00e3o houver n\u00famero vis\u00edvel, considera-se que \u00e9 1) ou -1.<\/p>\n

Parte literal:<\/b>\u00a0S\u00e3o as vari\u00e1veis e seus respectivos expoentes.<\/p>\n

Opera\u00e7\u00f5es com mon\u00f4mios<\/strong><\/p>\n

Soma:<\/strong>\u00a0a soma entre mon\u00f4mios ocorre quando a parte literal dos operandos \u00e9 igual,\u00a0desta forma a adi\u00e7\u00e3o ocorre entre os coeficientes.<\/p>\n

Exemplo:<\/strong>\u00a0x\u00b2 + 72x\u00b2 \u2013 3 + x = 73x\u00b2 + x \u2013 3<\/p>\n

Note que n\u00e3o podemos somar diretamente os termos resultantes pois\u00a0possuem a parte literal distinta.<\/p>\n

Multiplica\u00e7\u00e3o:<\/strong>\u00a0A multiplica\u00e7\u00e3o entre mon\u00f4mios ocorre pela soma de expoente de\u00a0inc\u00f3gnitas iguais, multiplica\u00e7\u00e3o do restante da parte literal e coeficientes.<\/p>\n

Exemplo:<\/strong>\u00a0(7xyz) (10x\u00b2) = 70x\u00b3yz<\/p>\n

Divis\u00e3o:<\/strong>\u00a0A divis\u00e3o de mon\u00f4mios ocorre pela subtra\u00e7\u00e3o do expoente do dividendo\u00a0pelo divisor na parte literal e divis\u00e3o do coeficiente.<\/p>\n

Exemplo:<\/strong>\u00a028 x\u00b2yz \/ 14 xz = 2xy<\/p>\n

Potencia\u00e7\u00e3o:<\/strong>\u00a0A potencia\u00e7\u00e3o de um mon\u00f4mio ocorre pela multiplica\u00e7\u00e3o da pot\u00eancia\u00a0da parte literal pelo coeficiente.<\/p>\n

Exemplo:<\/strong>\u00a0(5xy)\u00b3 = 5\u00b3(xy)\u00b3 = 125x\u00b3y\u00b3<\/p>\n

Semelhan\u00e7a de Mon\u00f4mios<\/strong><\/p>\n

Dois mon\u00f4mios s\u00e3o semelhantes quando a parte literal de ambos \u00e9 igual.<\/p>\n

Exemplo:<\/strong>\u00a0Qual dos mon\u00f4mios a seguir \u00e9 semelhante?<\/b><\/p>\n

a) 3xy ; 3xyz
\nb) 2xy ; 2x
\nc) 23xz ; 2\u00b2xz<\/strong>
\nd) x ; y<\/p>\n

Alternativa c:<\/strong>\u00a023xz \u00e9 semelhante a 2\u00b2xz pois a parte literal de ambos \u00e9 igual.<\/p>\n

Identidade de Mon\u00f4mios<\/strong><\/p>\n

Dois mon\u00f4mios s\u00e3o id\u00eanticos quando a parte literal e o coeficiente s\u00e3o id\u00eanticos.<\/p>\n

Exemplo:<\/strong>\u00a0Descubra qual \u00e9 o valor de a para que os mon\u00f4mios a seguir sejam id\u00eanticos.<\/p>\n

12axyz = 6 xyz
\n12a = 6
\nxyz = xyz
\nLogo, a = 0,5.<\/p>\n

Fonte:<\/strong>\u00a0Col\u00e9gio S\u00e3o Francisco\/Luisa Boccardo Burini<\/p>\n","protected":false},"excerpt":{"rendered":"

Mon\u00f4mios – O que s\u00e3o Um\u00a0mon\u00f4mio\u00a0\u00e9 um termo composto pela multiplica\u00e7\u00e3o entre uma constante conhecida\u00a0chamada\u00a0coeficiente\u00a0e inc\u00f3gnitas que s\u00e3o a\u00a0parte literal. Um\u00a0mon\u00f4mio\u00a0\u00e9 uma express\u00e3o alg\u00e9brica que possui um \u00fanico termo, formado pela multiplica\u00e7\u00e3o entre um n\u00famero (coeficiente) e uma ou mais letras (parte literal). Por exemplo, no termo, o 3 \u00e9 o coeficiente e o\u00a0\u00a0\u00e9 a […]<\/p>\n","protected":false},"author":2,"featured_media":141475,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[414],"tags":[],"class_list":["post-128436","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematica"],"acf":[],"yoast_head":"\nMon\u00f4mios, Express\u00e3o Alg\u00e9brica, Letras Mon\u00f4mios<\/title>\n<meta name=\"description\" content=\"Mon\u00f4mios, Express\u00e3o Alg\u00e9brica, Letras, Parte, Coeficiente, Literal, Divis\u00e3o, Soma, Exemplo, O que s\u00e3o, Mon\u00f4mios\" \/>\n<meta name=\"robots\" content=\"noindex, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" 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