The decimal expansion of the rational number 14587/1250 will terminate after:

(a)one decimal place  (b) two decimal places

(c) three decimal places  (d) four decimal places

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

Transcript

Question 12 The decimal expansion of the rational number 14587/1250 will terminate after: one decimal place (b) two decimal places (c) three decimal places (d) four decimal places ๐Ÿ๐Ÿ’๐Ÿ“๐Ÿ–๐Ÿ•/๐Ÿ๐Ÿ๐Ÿ“๐ŸŽ = 14587/(2^1 ร— 5^4 ) = 14587/(2^1 ร— 5^4 ) ร— 2^3/2^3 = (14587 ร— 2^3)/((2^4 ร— 5^4)) = (14587 ร— 2^3)/(2 ร— 5)^4 = (14587 ร— 2^3)/10^4 So, the number will terminate after 4 decimal places So, the correct answer is (D)

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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.