Ex 1.4, 1 - Without actually performing long division, state - Ex 1.4

Ex 1.4, 1 - Chapter 1 Class 10 Real Numbers - Part 2

  1. Chapter 1 Class 10 Real Numbers (Term 1)
  2. Serial order wise

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: 13/3125 ๐‘/๐‘ž 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 13 & 3125 have no common factors, So, 13 & 3125 are co-prime For Denominator (3125) Denominator = 55 = 1 ร— 55 = 20 ร— 55 So , denominator is of the form 2n 5m where n = 0 , m = 5 Thus , 13/3125 is a terminating decimal Thus, 64/455 has a non-terminating repeating decimal expansion

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.