Question 1 (x) - Decimal Expansion - Chapter 1 Class 10 Real Numbers

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Ex 1.4, 1 - Chapter 1 Class 10 Real Numbers - Part 19

Ex 1.4, 1 - Chapter 1 Class 10 Real Numbers - Part 20

Transcript

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: (x) 77/210 77/210 = 11/30 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 11 & 30 have no common factors, So, 11 & 30 are co-prime For Denominator (30) Denominator = 30 = 2 × 3 × 5 So , denominator is not of the form 2n 5m Thus, 11/30 i.e. 77/210 is a non-terminating repeating decimal

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.