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
๐๐๐๐๐/๐๐๐๐
= 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 an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.
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