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

Last updated at Dec. 4, 2021 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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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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