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)
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.
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