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What is the conditions for the decimal expansion of a rational number to terminate ?Explain with the example?
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What is the conditions for the decimal expansion of a rational number ...
Let x = p/q be a rational number, such that the prime factorization of q is of the form 2^m5^n, where n, m are non-negative integers. Then x has a decimal expansion which terminates. 

Since the denominator is of the form 2m x 5n, the rational number has a terminating decimal expansion.


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What is the conditions for the decimal expansion of a rational number to terminate ?Explain with the example?
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