Question

Without doing any actual division, find which of the following rational numbers have terminating decimal representation: `23/125`

Answer 1

Given number is `23/125`

Since 125 = 5 × 5 × 5 = 5^{3 =} 2⁰ × 5³

I.e. 125 can be expressed as 2^m × 5ⁿ

∴ `23/125` is convertible into the terminating decimal.