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Last updated at Aug. 2, 2021 by Teachoo
Ex 1.4 , 1 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: (ii) 17/8 ๐/๐ is terminating if (i) p & q are co-prime and (ii) q is of the form 2n 5m where n & m are non-negative integers Checking co-prime 17 & 8 have no common factors, So, 17 & 8 are co-prime For Denominator (8) Denominator = 23 = 1 ร 23 = 50 ร 23 So , denominator is of the form 2n 5m where n = 3 , m = 0 Thus, 17/8 is a terminating decimal