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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

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.