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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: 35 / 50

Q1 (9)   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: 35 / 50 

Answers (1)

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\\\frac{35}{50}=\frac{5\times 7}{2\times 5^{2}}\\\frac{35}{50}=\frac{7}{2\times 5}

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

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