Question 6

After how many decimal places will the decimal expansion of 23/(2 4 × 5 3 ) terminate?

After how many decimal places will decimal expansion of 23/(2^4 × 5^3)

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Question 6 - CBSE Class 10 Sample Paper for 2019 Boards - Part 2

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  1. Class 10
  2. Solutions of Sample Papers for Class 10 Boards

Transcript

Question 6 After how many decimal places will the decimal expansion of 23/(2^4 × 5^3 ) terminate? 23/(2^4 × 5^3 ) = 23/(2^4 × 5^3 ) × 5/5 = (23 × 5)/((2^4 × 5^4)) = 105/(2 × 5)^4 = 105/(10)^4 = 0.0105 So, after 4 decimal places, the number will terminate

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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.