Question

After how many decimal places will the decimal expansion of 27/2^35^4 terminate

Answer 1

Solution :

Given rational number

27/(2³×5⁴)

= ( 27 × 2 )/( 2⁴ × 5⁴ )

= 54/(2×5)⁴

=54/(10⁴ )

= 54/10000

= 0.0054

Therefore ,

Given rational number

terminates after 4 decimal

places.

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