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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: 23 / 2 ^3 5^2

Q1 (6)   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{23}{2 ^3 5 ^ 2 }

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S Sayak

\frac{23}{2 ^3 \times 5 ^ 2 }

The denominator is of the form 2a x 5b where a = 3 and b = 2. Therefore the given rational number will have a terminating decimal expansion.

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