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

Slide1.JPG

Slide2.JPG

  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 ร— 5) ร— ๐Ÿ“/๐Ÿ“ = (33 ร— 5)/((2^2 ร— 5^2)) = (33 ร— 5)/(๐Ÿ ร— ๐Ÿ“)^๐Ÿ = (33 ร— 5)/ใ€–10ใ€—^2 So, the number will terminate after 2 decimal places โˆด Correct answer is (B)

About the Author

Davneet Singh's photo - Teacher, Engineer, Marketer
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.