Question

Write the denominator of the rational number 257 / 500 in the form 2^m x 5ⁿ, where m and n are non-negative integers. Hence write its decimal expansion without actual division.

Answer 1

Denominator = 500

= 2² x 5³ 

decimal expansion, 257 / 500 = 257 x 2 / 2 x 2² x 5³ = 514 / 10³