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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: 77 / 210

Q1 (10)   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:  77 / 210 

Answers (1)

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\\\frac{77}{210}=\frac{7\times 11}{2\times 3\times5\times 7 }\\ \frac{77}{210}=\frac{11}{2\times 3\times5}

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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