Math, asked by rohit24624, 1 year ago

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

Answers

Answered by mysticd
9

Solution :

Given rational number

23/(2⁴×5³)

= ( 23 × 5 )/( 2⁴ × 5⁴ )

= 115/( 2×5 )⁴

= 115/( 10 )⁴

= 115/10000

= 0.0115

Therefore ,

Given rational number

terminates after 4 decimal

places.

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