Question

Write the denominator of the rational number 257

500

in the form 2m x 5n

, where m and n are

non- negative integers. Hence write its decimal expansion without doing actual division.​

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.

Step-by-step explanation:

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