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 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.
Many students prefer Teachoo Black for a smooth, ad-free learning experience.
Go ad-free with Teachoo Black
Adblock detected
Skip every ad. Keep every answer.
Teachoo Black gives you a clean, uninterrupted study experience on every page.
You are here
