MONÔMIO OU TERMO ALGÉBRICO
Autor: PROF. CRISTIAN - Matemática | Publicado: 2013-05-08T20:51:00-04:00





O USO DAS LETRAS NA MATEMÁTICA



&nbsp;&nbsp;&nbsp;&nbsp; Usamos as letras nas expressões matemáticas para representar valores numéricos que não conhecemos, então, usamos desse método para determinada situação.&nbsp;



&nbsp;&nbsp;&nbsp;&nbsp; Por exemplo:



&nbsp;&nbsp;&nbsp;&nbsp; Um picolé custa y reais. Paulo comprou 7 picolés. Represente a expressão que representa a quantia paga por Paulo.



&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Situações como esta, em que não sabemos o valor exato de determinados produtos, fazem com que utilizemos letras para representá-las e quando isso ocorre, estamos trabalhando com monômios.



DEFINIÇÃO

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Denomina-se monômio ou termo algébrico, toda expressão algébrica inteira representada apenas por um número, ou uma letra ou ainda uma multiplicação de número por letra.


Exemplo:
3xy&nbsp;&nbsp;&nbsp;&nbsp; -2ab&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; x²&nbsp;&nbsp;&nbsp;&nbsp; ab

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; A parte forma pelos números chamamos de COEFICIENTE; e a parte formada pelas letras chamamos de PARTE LITERAL.



Exemplo:&nbsp;

 

a) 3x²y³ =&nbsp;&nbsp;

Coeficiente = 3

Parte Literal = x²y³



b) - 2 x²

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<![endif]-->Coeficiente = - 2

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 3

Parte Literal = x²



c) a²b

Coeficiente = 1

Parte Literal = a²b



&nbsp; &nbsp; &nbsp; O grau de um monômio é dado pela soma dos expoentes de sua parte literal.



&nbsp; &nbsp; &nbsp; Veja:



3ab²c³ = monômio do 6º grau porque 1+2+3 = 6.&nbsp;



Note que quanto não aparece o expoente sobre a letra (caso da letra a), este, tem o valor igual a 1.



MONÔMIOS SEMELHANTES.



&nbsp; &nbsp; &nbsp; Os monômios são semelhantes quando apresentam a mesma parte literal, ou seja, as letras e os expoentes são iguais. Nesse caso, podemos torná-los mais simples, somando ou subtraindo seus coeficientes e conservando a parte literal.



Exemplo:



2a²b³ + 3a²b³ - a²b³ =



Neste caso juntamos os coeficientes (parte numérica), e conservamos a parte literal.&nbsp;



Veja:



2 + 3 - 1 = 4a²b³



ATIVIDADES:





1. Defina monômio.



2. Explique com suas palavras:

Grau de um monômio;
Coeficiente;
Parte Literal;
Monômios semelhantes.&nbsp;&nbsp;



3. Identifique os coeficientes e a parte literal de cada monômio a seguir:


22xyz²
-3ab³
5y
- a²b

4. Simplifique os monômios semelhantes.


&nbsp;22az² + 13az² - 18az² + az²















&nbsp; &nbsp; 






Bons estudos...

Sinta-se livre para postar comentários e sugestões.



Abraços.

Prof. Cristian

profcristiancba@gmail.com&nbsp; &nbsp; 

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   UnhideWhenUsed="false" Name="Medium Shading 1 Accent 6"/>
  <w:LsdException Locked="false" Priority="64" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 2 Accent 6"/>
  <w:LsdException Locked="false" Priority="65" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 1 Accent 6"/>
  <w:LsdException Locked="false" Priority="66" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 2 Accent 6"/>
  <w:LsdException Locked="false" Priority="67" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 1 Accent 6"/>
  <w:LsdException Locked="false" Priority="68" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 2 Accent 6"/>
  <w:LsdException Locked="false" Priority="69" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 3 Accent 6"/>
  <w:LsdException Locked="false" Priority="70" SemiHidden="false"
   UnhideWhenUsed="false" Name="Dark List Accent 6"/>
  <w:LsdException Locked="false" Priority="71" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Shading Accent 6"/>
  <w:LsdException Locked="false" Priority="72" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful List Accent 6"/>
  <w:LsdException Locked="false" Priority="73" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Grid Accent 6"/>
  <w:LsdException Locked="false" Priority="19" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Subtle Emphasis"/>
  <w:LsdException Locked="false" Priority="21" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Intense Emphasis"/>
  <w:LsdException Locked="false" Priority="31" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Subtle Reference"/>
  <w:LsdException Locked="false" Priority="32" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Intense Reference"/>
  <w:LsdException Locked="false" Priority="33" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Book Title"/>
  
  
 
<![endif]--><!--[if gte mso 10]>

 /* Style Definitions */
 table.MsoNormalTable
 {mso-style-name:"Tabela normal";
 mso-tstyle-rowband-size:0;
 mso-tstyle-colband-size:0;
 mso-style-noshow:yes;
 mso-style-priority:99;
 mso-style-parent:"";
 mso-padding-alt:0cm 5.4pt 0cm 5.4pt;
 mso-para-margin-top:0cm;
 mso-para-margin-right:0cm;
 mso-para-margin-bottom:10.0pt;
 mso-para-margin-left:0cm;
 line-height:115%;
 mso-pagination:widow-orphan;
 font-size:11.0pt;
 font-family:"Calibri","sans-serif";
 mso-ascii-font-family:Calibri;
 mso-ascii-theme-font:minor-latin;
 mso-hansi-font-family:Calibri;
 mso-hansi-theme-font:minor-latin;
 mso-fareast-language:EN-US;}

<![endif]--><!--[if gte mso 9]>
 
<![endif]--><!--[if gte mso 9]>
 
  
 <![endif]-->


 

  
 

  
  
 

&nbsp; 

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