Check sibling questions

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


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

  1. Class 10
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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