Question

Without actually performing the long division, state whether the $\frac{15}{1600}$ will have a terminating decimal expansion or non-terminating repeating decimal expansion ?

Answer 1

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Without actually performing the long division, state whether the $\frac{15}{1600}$ will have a terminating decimal expansion or non-terminating repeating decimal expansion ?

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$\frac{15}{1600}$

$\frac{15}{ {2}^{6} \times {5}^{2} }$

It's denominator is form of ${2}^{n} \times {5}^{m}.$

So, it is terminating.