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Question
Write the condition to be satisfied by q so that a rational number\[\frac{p}{q}\]has a terminating decimal expansions.
Solution
We need to find the condition to be satisfied by q so that a rational number `p/q` has a terminating decimal expression.
For the terminating decimal expression, we should have a multiple of 10 in the denominator.
Hence, the prime factorization of q must be of the form `2^mxx5^n`, where m and n are non-negative integers.
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