Question
State if the following fraction has a terminating decimal$.\frac{89}{125}$

Answer

$\frac{89}{125} $
$125=5 \times 5 \times 5=2^0 \times 5^3$
i.e. $125$ can be expressed as $2^m \times 5^n$.
Hence, $\frac{89}{125}$ has terminating decimal representation.

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