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