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Question

Without actually performing the long division, state whether the following rational number will have a terminating decimal expansion or non -terminating decimal expansion
151600

A
Terminating decimal expansion
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B
Non-terminating decimal expansion
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C
Cannot be determined
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D
None
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Solution

The correct option is A Terminating decimal expansion
Factorize the denominator we get 1600=2×2×2×2×2×2×5×5=26×52
so denominator is in form of 2n×5m
Hence 151600 is terminating.


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