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The decimal representation of The decimal representation of 14587/(2 1 × 5 4 ) will terminate after how many decimal places?

The decimal representation of 14587/ 2^1 x 5^4 will terminate after

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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

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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.