Question 1 The decimal representation of 11/(2^3× 5) will A. terminate after 1 decimal place B. terminate after 2 decimal places C. terminate after 3 decimal places D. not terminate
11/(2^3 × 5)
= 11/(2^3 × 5) × 5^2/5^2
= (11 × 5^2)/((2^3 × 5^3))
= (11 × 25)/(2 × 5)^3
= (11 × 25)/(10)^3
So, the number will terminate after 3 decimal places
∴ C is the correct answer
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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