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)
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.
