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state whether the following are terminating decimals or non-recurring decimals without actual division 17/120,24/408,24/980,28/350,57/3125 |
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Answer» -step explanation:16=2 4 167 = 2 4 7 = 2 4 ×5 0 7 . So, 167 has a terminating DECIMAL expansion.(II) 150=2×3×5 2 15013 = 2×3×5 2 13 Since it is not in the FORM 2 m ×5 n p , 15013 has a non-terminating and recurring decimal expansion.(III) 75−11 = 3×5 2 −11 Since it is not in the form 2 m ×5 n p . 75−11 has a non-terminating and recurring decimal expansion.(iv) 20017 = 8×2517 = 2 3 ×5 2 17 . So 20017 has a terminating decimal expansion. |
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