Question

Without doing any actual division, find which of the following rational numbers have terminating decimal representation : `17/40`

Answer 1

Given number is `17/40`

Since 40 = 2 x 2 x 2 x 5 = 2³ x 5¹
I.e. 40 can be expressed as 2^m x 5ⁿ

∴ `17/40` is convertible into the terminating decimal.