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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.
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