Question
Write the condition to be satisfied by $q$ so that a rational number $\frac{\text{p}}{\text{q}}$ has a terminating decimal expansion.

Answer

In the rational number $\frac{\text{p}}{\text{q}},$ the factorization of denominator $q$ must be in form of $2^m× 5^n$ where $m$ and $n$ are non-negative integers.

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