Question

Number $\frac{3}{625}$ is a terminating decimal or a non-terminating repeating decimal? Write it in decimal form.

Answer 1

Any rational number with its denominator in the form of $2^m\times 5^n$, where $m,n$ are positive integers have a terminating decimal expansion, otherwise it is non-terminating.

Here, the denominator $625=5^4$, i.e. composed of factor $5$ only.

Then, $\frac{3}{625}$ is a terminating decimal and its decimal form is $0.0048$.