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Question

Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating decimal expansion : 133125 [1 MARK]


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Solution

Concept : 0.5 Mark
Application : 0.5 Mark

3125=5×5×5×5×5=55

Denominator is of the form 2n.5m, where m=5 and n=0.

It means rational number 133125 has a terminating decimal expansion.


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