Question

efetue as operações indicadas
a) -0,1777... +1,7
b)0,161616... +0,4777

Answer 1

Resposta:

Explicação passo-a-passo:

a)-0,17777....+1,7

x= 0,1777....

10x=1,7777....

100x=17,7777....

100x-10x=17,7777....-1,7777....

9x=16

x=16/9

-16/9+1,7=

-16/9+17/10=

-160/90+153/90=

-7/90

b)0,161616....+0,47777....

x=0,161616....

100x=16,161616...

100x-x-16,161616...-0,161616...

99x=16

x=16/99

y=0,4777...

10y=4,7777...

100y=47,777...

100y-10y=47,7777...-4,777...

90y=43

y=43/90

0,161616...+0,47777...=

16/99+43/90=

160/990+473/990=

633/990=  (simplifica por 3)

221/330