Question

Whether the decimal expansion of  number 3/625 is terminating or non-terminating 625 repeating? write it in decimal form?

Answer 1

3/625 = 3/(5 x 5 x 5 x 5) = 3/(5⁴ x 2⁰)

Denominator is of the form of 2^m x 5ⁿ.

∴ Decimal expansion is ternimating 

Represent in the form of decimal

3/625 = (3 x 2⁴)/(5⁴ x 2⁴)

= (3 x 16)/(2 x 5)⁴ = 48/10⁴ = 0.0048