The decimal representation of 11/(2 3 × 5) will

A. terminate after 1 decimal place

B. terminate after 2 decimal places

C. terminate after 3 decimal places

D. not terminate

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

Transcript

Question 1 The decimal representation of 11/(2^3× 5) will A. terminate after 1 decimal place B. terminate after 2 decimal places C. terminate after 3 decimal places D. not terminate 11/(2^3 × 5) = 11/(2^3 × 5) × 5^2/5^2 = (11 × 5^2)/((2^3 × 5^3)) = (11 × 25)/(2 × 5)^3 = (11 × 25)/(10)^3 So, the number will terminate after 3 decimal places ∴ C is the correct answer

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.