EXERCÍCIOS DA UNIDADE IV MÓDULO 6

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EXERCÍCIOS DA UNIDADE IV MÓDULO 6
Para as adições e subtrações
Elimina os parênteses, fazendo o jogo dos sinais.
Frações com denominadores iguais, operam-se apenas com os numeradores.
Frações com denominadores diferentes, igualam-se os denominadores através do mmc divide o mmc por cada denominador e multiplica o resultado por cada numerador correspondente e opera-se com os numeradores.
Simplifique o resultado quando possível.
I) Efetue as adições
1) 
+ 
= + 
 + 
 = 
= + 
 
2) 
+ 
= – 
 + 
 = 
 = 
 = – 1 
3) 
+ 
= – 
 – 
 = 
 = 
 = – 1 
4) 
+ 
= + 
 + 
 = 
= 
 = 
5) 
+ 
= – 
 – 
 = 
 = 
 = 
 
6) 
+ 
= +
 – 
 = 
 = 
 = 
= + 
II) Efetue as subtrações:
1) 
 – 
= + 
 – 
 = 
= – 
 
2) 
 – 
= – 
 – 
 = 
= – 
3) 
 – 
= + 
 + 
 = 
= +
 = + 1 
4) 
 – 
= – 
 + 
 = 
 = 
 = 
 
5) 
 – 
= +
 + 
 = 
 = 
 = 
 
6) 
 – 
= +
 – 
 = 
 = 
 = 
 
Para as multiplicações 
Elimina os parênteses, fazendo o jogo dos sinais.
Multiplica numerador com numerador, e multiplica denominador com denominador
Simplifique o resultado quando possível.
III) Realize as multiplicações a seguir:
�
1) 
 . 
= – 
 = – 
 = – 
2) 
 . 
= +
 = + 
 = + 
3) 
 . 
= +
 = + 
 
4) 
 . 
= – 
 = – 
 = – 
5) 
 . 
= +
 = + 
 = + 
 
6) 
 . 
= +
 = + 
 = + 
�
 
Para as divisões
Mantem a primeira fração, troca a divisão para multiplicação e inverte os termos da segunda fração
Elimina os parênteses, fazendo o jogo dos sinais.
Multiplica numerador com numerador, e multiplica denominador com denominador
Simplifique o resultado quando possível
IV) Efetue as divisões:
Mantem a primeira fração e inverte os termos da segunda fração
1) 
 : 
= 
 . 
= +
 = + 
 = 
 
2) 
 : 
= 
 . 
= – 
 = – 
 = – 1
3) 
 : 
= 
 . 
= + 
 = + 
 = + 
4) 
 : 
= 
 . 
= – 
 = – 
 = – 5
5) 
 : 
= 
 . 
= – 
 = – 
 = – 
 
6) 
 : 
= 
 . 
= – 
 = – 
 = – 2
Na multiplicação somam-se os expoentes.
Na divisão subtraem-se os expoentes.
V) Efetue as operações indicadas:
1) 
. 
= 
 = 
= 
 2) 
. 
. 
= 
 = 
 = 
3) 
. 
. 
= 
= 
= 
4) 
. 
. 
=
= 
= 
5) 
. 
= 
 = 
= – 
6) 
 : 
= 
 = 
 = 
 7) 
 : 
= 
 = 
 = 
8) 
 : 
= 
 = 
 = 
9) 
 : 
= 
 = 
 = 
 = 
10) 
 : 
= 
 = 
 = 
 = 
Toda base com expoente zero é igual a 1. 
Base com expoente negativo, inverte os termos da base e troca o sinal do expoente.
VI) Resolva:
�
1) 
= 1 
2) 
 + 
+ 2 – 1 =
 
 
 + 1 + 
 = 
 
 + 1 + 
 = 2
3) 50 . 2 – 1 + 2 – 1 : 70 = 
 1 . 
 + 
 : 1 = 
 1 . 
 + 
 : 1 = 
 
 + 
 = 1 
4) 
: 
=
 
 : 
=
 
 : 
 = 
 : 
 =
 
 . 
 = 
 
5) 
 . 
 – 5 . 
 =
 
 . 
 – 5 . 
 =
 
 – 
 =
 
 = 
 
 = 1
�
VII) Ache, quando possível, a raiz quadrada de:
1) 
= 
 = 
 = 
 2) 
= 
 = 
 
3) 
= 4) 
=
 = 
VIII) Resolva as expressões:
1) – 2 + 
: 
= 
 – 2 + 
: 
= 
 – 2 + 
: 
= 
 – 2 + 
: 
=
 – 2 + 
 . 
=
 – 2 + 
=
 – 2 – 
=
 – 2 – 
=
 – 2 – 
=
 
= 
2) 
 – 
=
 
 – 
=
 
 – 
=
 
 – 
=
 
 – 
=
 
 – 
=
 
 – 
=
 
 – 
=
 – 
 – 
=
 
= – 
3) 
 . 
=
 
 . 
=
 
 . 
=
 
 . 
=
 
 . 
=
 
 . 
=
 
 . 
=
 + 
 = 
+ 
 = + 
4) 
: 
=
 
 
: 
=
 
: 
=
 
: 
=
 
: 
=
 
: 
=
 
 
. 
=
 – 
 = 
 – 
 = – 
 
No conjunto dos números racionais, não existe raiz quadrada de radicando negativo. 
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