Question

without actual division how to find which of the following rational terminating decimals such as 16 by 35 and 13/24 and 23/80and 5/64 ​

Answer 1

By factorisation method..

16/35

Deniminator=35

Factors of 35=5 × 7

The factor of 35 is other than 2 and 5.

So it is non terminating.

13/24

D=24

factor of 24=2×2×2×3

here, also factor of 24 is other than 2 and 5.

So it is non terminating..

23/80

D = 80

factor of 80 = 2×2×2×2×5

the factor of 80 is 2 and 5

so it is terminating

5/64

D= 64

factor of 64=2×2×2×2×2×2

the factor of 64 is 2..

so it is terminating..

Hope it helps...