Question

If x= 15/30000 be a rational number. Then  has decimal expansion which terminates:​

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.

Example:

50049×22×5349

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

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