Question

58. Write the denominator of rational number
257
in the form 2m x 5", where m, n are
5000
non-negative integers. Then, write its decimal
expansion without actual division. [NCERT)
257​

Answer 1

Answer:

Denominator of the rational number 257/ 5000 is 5000. = (2)^ 3 × (5)^ 4 , which is of the type 2m × 5n , (where m = 3 and n = 4 are non-negative integers.) So, 0.0514 is the required decimal expansion of the rational 257/5000 and it is also a terminating decimal number.