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The decimal expansion of the rational number 14587/1250 will terminate after:

(a)one decimal placeΒ  (b) two decimal places

(c) three decimal placesΒ  (d) four decimal places

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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 πŸπŸ’πŸ“πŸ–πŸ•/πŸπŸπŸ“πŸŽ = 14587/(2^1 Γ— 5^4 ) = 14587/(2^1 Γ— 5^4 ) Γ— 2^3/2^3 = (14587 Γ— 2^3)/((2^4 Γ— 5^4)) = (14587 Γ— 2^3)/(2 Γ— 5)^4 = (14587 Γ— 2^3)/γ€–10γ€—^4 So, the number will terminate after 4 decimal places So, the correct answer is (D)

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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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.