Question 6
After how many decimal places will the decimal expansion of 23/(2 4 × 5 3 ) terminate?

Last updated at Oct. 1, 2019 by Teachoo
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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