Question

after how many decimal places will 624 / 2³5^4 terminate

Answer 1

Heya !!

$= \frac{624}{ {2}^{3} \times {5}^{4} } \\ \\ = \frac{624}{ {2}^{3} \times {5}^{4} } \times \frac{2}{2} \\ \\ = \frac{1248}{ {2}^{4} \times {5}^{4} } \\ \\ = \frac{1248}{ {10}^{4} } \\ \\ = 0.1248$
Hence, after four digits decimal point will be place.


Hope it helps ..

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