The decimal expansion of the rational number 33/(2^2 5) will terminate after

(A)one decimal place

(B) two decimal places

(C) three decimal places

(D) more than 3 decimal places

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

Transcript

Question 1 The decimal expansion of the rational number 33/(2^2 5) will terminate after one decimal place (B) two decimal places (C) three decimal places (D) more than 3 decimal places 33/(2^2 5) = 33/(2^2 × 5) × 5/5 = (33 × 5)/((2^2 × 5^2)) = (14587 × 2^3)/(2 × 5)^2 = (14587 × 2^3)/10^2 So, the number will terminate after 2 decimal places ∴ Correct answer is (B)

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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.