13/3125 is a terminating decimal fraction. what is the reason
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Answer:
Hence, the decimal expansion of 13/3125 is terminating. The denominator is of form 23 × 50. Hence, the decimal expansion of 17/8 is terminating. Since the denominator is not in form of 2m × 5n, and it also contains 7 and 13 as its factors, its decimal expansion will be non-terminating repeating.
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Reason:
In a fraction, if the denominator is of the form 2^n×5^m
then the fraction is always terminating.
In case of 3125, it can be written as,
3125=2⁰×5⁰
So it is terminating and reason is the correct explanation to assertion.
Answer:
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
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