After how many decimal places will the decimal expansion of 23/16x125terminate?
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Solution:
23/( 16 × 125 )
= 23/( 2⁴ × 5³ )
= ( 23 × 5 )/( 2⁴ × 5⁴ )
= 115/( 2 × 5 )⁴
= 115/( 10⁴ )
= 0.0115
Therefore ,
Given ratonal Number
terminates after 4 decimal
places.
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