Question

without actual division find which of the following rational and terminating decimals..

1. 13/80
2.7/24
3.5/12
4.8/35
5.16/125​

Answer 1

Step-by-step explanation:

rational numbers can be written in the form of

p/q.

if the prime factorisation of q has the powers of 2or 5 or both, then the number will be terminating.

so,

1) 13/80= 80= 2*2*2*2*5 ( has 2 and 5 both) = TERMINATING

2)7/24 = 24 = 2³*3 ( has 2 but also has 3 ) = NON TERMINATING

3) 5/12=12= 2²*3 = NON TERMINATING

4) 8/35 = 35= 5*7 = NON TERMINATING

5) 16/125=125= 5³ = TERMINATING

so , terminating rational numbers are 1) and 5)

hope it helps :-)