Question

write the denominater of rational number 257/5000 in the form 2m*5n where m,n are non-negative integers hence write the decimal expansion without doing actual division

Answer 1

257/5000= 257/5^4(2^3)

= 257 (2)/ 5^4 (2^4)

=257(2)/ (10)^4 = 257/10000

= 0.0514.