The smallest number by which 1/13 should be multiplied so that its decimal expansion terminates after two decimal places is

(a) 13/100  (b) 13/10    (c) 10/13   (d) 100/13

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Question 33 The smallest number by which 1/13 should be multiplied so that its decimal expansion terminates after two decimal places is (a) 13/100 (b) 13/10 (c) 10/13 (d) 100/13 We need to terminate the decimal after 2 decimal places So, we divide the number by 100 Now, our number becomes 1/13 ×1/100 But, we need to get rid of 13 as well, So, we multiply by 13 1/13 ×1/100 × 13 = 1/13 ×𝟏𝟑/𝟏𝟎𝟎 = 0.01 ∴ We multiply number by 𝟏𝟑/𝟏𝟎𝟎 So, the correct answer is (a)

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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.