Question

how many decimal places will the decimal expansion 23 by 2 power 4 into 5 power 3 terminate

Answer 1

Hey mate!!!
Here's ur answer

23/2^4 x 5^3 = (23x5)/2^4 x 5^4 making the powers of 2 and 5 in the denominator equal, so that we get 115/10^4 = 115/10000= 0.0115.

So, the decimal expansion gets terminated with number of decimal places as much as the power of 10.

Hope it helps:)