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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: 64 by 455

Q1 (3)   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:  64 / 455 

Answers (1)
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S Sayak

\frac{64}{455}=\frac{64}{5\times 7\times 13}

The denominator is not of the form 2a x 5b. Therefore the given rational number will have a non-terminating repeating decimal expansion.

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