Question

1. Without actual division, find which of the following rational numbers
are terminating decimals.
a) 13/80
b) 7/24
c) 5/12
d) 31/ 375
e) 16/125
plzz explain it plzzz
​

Answer 1

Answer:

We will factorise the denominator.

For a ) P.M of 80 = 2^4*5 ( here pm of D is in form 2^m*2^n which is necessary condition to terminate. )

THUS, 13/80 IS TERMINATING DECIMAL.

b ) pm of 24 is 2^3 * 3 ( here D is not in form 2^m * 5^n)

THUS ,7/24 IS NON TERMINATING DECIMAL...

C ) pm of 12 = 2^2 * 3 ( here D is not in form 2^m * 2^n as it includes 3 in pm )