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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: 129 / 2^2 5 ^ 7 7 ^ 5

Q1 (7)    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: \frac{129 }{2 ^ 2 7^5 5 ^ 7 }

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\frac{129 }{2 ^ 2\times 7^5 \times 5 ^ 7 }

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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