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

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)