Question 12 - MCQs from NCERT Exemplar - Chapter 1 Class 10 Real Numbers

Last updated at April 16, 2024 by

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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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 𝟏𝟒𝟓𝟖𝟕/𝟏𝟐𝟓𝟎 = 14587/(2^1 × 5^4 ) = 14587/(2^1 × 5^4 ) × 2^3/2^3 = (14587 × 2^3)/((2^4 × 5^4)) = (14587 × 2^3)/(2 × 5)^4 = (14587 × 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 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, Social Science, Physics, Chemistry, Computer Science at Teachoo.