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)
Made by
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.
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