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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: 29 by 343

Q 1 (5)   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: 29 / 343

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S Sayak

\frac{29}{343}=\frac{29}{7^{3}}

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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