The decimal representation of The decimal representation of 14587/(2 1 × 5 4 ) will terminate after how many decimal places?
CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard
Question 1 (Choice - 2) You are here
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CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard
Last updated at April 16, 2024 by Teachoo
Question 1 (Choice - 2) The decimal representation of the decimal representation of 14587/(2^1 × 5^4 ) will terminate after how many decimal places?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