Question

Q 3.2

Answer 1

0. 52 = 0.5222222222222.............. Upto infinity
= 0.5 + 0.02 + 0.002 + 0.0002 +............Upto infinity

`=5/10+2/100+2/1000+2/10000`..............Upto infinity

`=5/10+2/100[1+1/10+1/100+.............."Upto infinity"]`

`=5/10+2/100[1/(1-1/10)]`        ........`[(1/10)/1=1/10]`

`=5/10+2/100xx10/9`

`=5/10+1/45`

`=(45+2)/90`

`=47/90`