Question 6

After how many decimal places will the decimal expansion of 23/(2 4 × 5 3 ) terminate?

After how many decimal places will decimal expansion of 23/(2^4 × 5^3)

Question 6 - CBSE Class 10 Sample Paper for 2019 Boards - Part 2


Transcript

Question 6 After how many decimal places will the decimal expansion of 23/(2^4 × 5^3 ) terminate? 23/(2^4 × 5^3 ) = 23/(2^4 × 5^3 ) × 5/5 = (23 × 5)/((2^4 × 5^4)) = 105/(2 × 5)^4 = 105/(10)^4 = 0.0105 So, after 4 decimal places, the number will terminate

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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.