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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: 13 / 3125

Q1 (1)   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:

              13/3125 

Answers (1)

best_answer

\frac{13}{3125}=\frac{13}{5^{5}}

The denominator is of the form 2a x 5b where a = 0 and b = 5. Therefore the given rational number will have a terminating decimal expansion.

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