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8. Write the condition to be satisfied by \( q \) so that a rational number \( \frac{p}{q} \) has a terminating decimal expansion. [CBSE 2008]

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8. Write the condition to be satisfied by \( q \) so that a rational number \( \frac{p}{q} \) has a terminating decimal expansion. [CBSE 2008]
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The rational number q/p where p and q are co-prime q will have a ferminating decimal expansion only if the prime factorisation of q is of the form 2n.5m, where n and m are non-negative integers.

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