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Question 6

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


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 and Computer Science at Teachoo