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Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion: 15 / 1600

Q 1 (4)    Without actually performing the long division, state whether the following rational
               numbers will have a terminating decimal expansion or a non-terminating repeating decimal
               expansion: 15 / 1600 

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S Sayak

\\\frac{15}{1600}=\frac{3\times 5}{2^{6}\times 5^{2}}\\ \frac{15}{1600}=\frac{3}{2^{6}\times 5}

The denominator is of the form 2a x 5b where a = 6 and b = 1. Therefore the given rational number will have a terminating decimal expansion.

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