Check sibling questions


Transcript

Ex1.3, 3 Express the following in the form 𝑃/𝑞 where p and q are integers and q ≠ 0. (iii) 0. (001) ̅ Let x = 0.(001) ̅ = 0.001001… Multiplying equation (1) with 1000 1000x = 1000 × (0.001001…) 1000x = 1.001001… Subtracting (2) from (1) i.e. (2) – (1) 1000x – x = 1.001001… – 0.001001… 999x = 1 x = 1/999 x = 1/999 Thus, 0.(001) ̅ = 1/999

  1. Chapter 1 Class 9 Number Systems
  2. Serial order wise

About the Author

Davneet Singh

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 and Computer Science at Teachoo