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Question 6 - CBSE Class 10 Sample Paper for 2019 Boards

Last updated at Nov. 1, 2018 by

Question 6

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

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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 × (2^3 × 5^3)) = 23/(2 × (2^3 × 5^3)) × 5/5 = (23 × 5)/(2 × 5 × (2^3 × 5^3)) = 105/((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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