Question

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

`7/16`

Answer 1

Given number is `7/16`

Since 16 = 2 × 2 × 2 × 2 = 2⁴ = 2⁴ × 5⁰

I.e., 16 can be expressed as 2^m × 5ⁿ

∴ `7/16` is convertible into the terminating decimal.