Without actual division, state whether the following rational number is terminating decimal or not. .

Foundation

Mathematics Foundation

HCF and LCM

Properties of Real Number

Rational Numbers

Question

Without actual division, state whether the following rational number is terminating decimal or not. $\frac{16}{125}$ .

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$\frac{16}{125} = \frac{16}{5 \times 5 \times 5} = \frac{16}{5^{3}}$ .

The denominator prime factor has 5 thus we can consider

\frac{16}{125}

as a terminating decimal.