Question

The probable factors of the denominator of rational number having a terminating decimal expansion is of the form?

Answer 1

Answer:Let x=p/q be a rational number such that the prime factorization of q is of the form 2m5n, where n, m are positive integers. Then x has a decimal expansion which terminates. Since the denominator is of the form 2m×5n, the rational number has a terminating decimal expansion.

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