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Question

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.

(i) 238 (ii) 125441 (iii) 3550 (iv) 77210 (v) 12922×57×717

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Solution

1) Denominator is 8,so the rational has a non-terminating decimal expansion

2)Denominator is a multiple of 3,7 so the rational number has a terminating decimal expansion

3)3550=710 Denominator is 10,so the rational has a non-terminating decimal expansion

4)77210=1130 Denominator is a multiple of 3,so the rational has a terminating decimal expansion

5) Denominator is a multiple of 7,so the rational has a terminating decimal expansion

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