Question

After how many decimal places will the decimal expansion of 23/(2⁴x5³) terminate?

Answer 1

Given number is  23/(23 *52 )

Since the denominator is of the form 2n * 5m 

So it is terminating.

Now 23/(8*25) = 23/200

=> 23/(8*25) = 23/200 = 0.115

So 23/(23 *52 ) will terminate after 3 places of decimal.

Answer 2

23/(2^4×5^3)=115/(2^4×5^4)
=115/10^4
Therefore it'll terminate after 4 decimal places