Question

Check if the rational number has terminating or non-terminating decimal expansion.

$\frac{211}{2^5\times 5^0}$

Answer 1

Given rational number is $\frac{211}{2^5\times 5^0}$

We know that, a rational number has terminating decimal expansion only when its denominator is of the form $2^m\times 5^n$.

The given rational number has denominator $2^5\times 5^0$, which is of the form $2^m\times 5^n$.

Hence, the given rational number will have a terminating decimal expansion.