Decimal Expansion

Question 1 (i)
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Chapter 1 Class 10 Real Numbers

Serial order wise

Last updated at April 16, 2024 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 𝑝/𝑞 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 × 23 = 50 × 23 So , denominator is of the form 2n 5m where n = 3 , m = 0 Thus, 17/8 is a terminating decimal