Check sibling questions

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 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.