Question

Qual e a dizima periodica de 1,161616
e Qual e a dizima periodica de 0,232323
13 pontos :3

Answer 1

0,1616 - 16,1616= -16
x-100x= -99x
 
-16 = -99x 
x = -16/-99 
x = 16/99 

x=0,232323.. 
100x= 23,2323 
100x-x= 99x = 23 ==> x=23/99

Answer 2

x = 1,1616   100x = 116,1616

100x  -  x = 116,1616 - 1,1616

99x = 115

x = 115 / 99

x = 0,2323    100x = 23,2323

100x - x = 23,2323 - 0,2323

99x = 23

x = 23 / 99