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)
Made by
Davneet Singh
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 and Computer Science at Teachoo
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