The decimal expansion of the rational number 33/(2^2 5) will terminate after

(A)one decimal place

(B) two decimal places

(C) three decimal places

(D) more than 3 decimal places

 

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Transcript

Question 1 The decimal expansion of the rational number 33/(2^2 5) will terminate after one decimal place (B) two decimal places (C) three decimal places (D) more than 3 decimal places 33/(2^2 5) = 33/(2^2 × 5) × 𝟓/𝟓 = (33 × 5)/((2^2 × 5^2)) = (33 × 5)/(𝟐 × 𝟓)^𝟐 = (33 × 5)/10^2 So, the number will terminate after 2 decimal places ∴ Correct answer is (B)

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