Question

Write the denominator of the rational number 257/5000in the form 2^m×5^n where m,n are non negative integers . Hence write in decimal expansion ,without actual division

Answer 1

257/5000=257/5*5*2*5*2*5*2

258/5^4*2^3

Decimal expansion=

257/5^4*2^3 *2/2=514/10000

.0514