Question

Without doing any actual division, find which of the following rational numbers have terminating decimal representation : `123/250`

Answer 1

Given number is `123/250`

Since 250 = 2 x 5 x 5 x 5 = 2¹ x 5³
i.e. 250 can be expressed as 2^m x 5ⁿ

∴ `123/250` is convertible into the terminating decimal.