Question

Write the denominator of 91/ 1250 in form of 2 rise to power m * 5 rise to power n where m and n are non negative integers also write its decimal expansion without actual division

Answer 1

Given
91/1250

If the denominator is in the form of 2^m × 5^n then the given fraction will be a terminating decimal

Let's check the denominator
1250 = 2 × 5^4

It is in the form of 2^m × 5^n. so it's a terminating decimal
Here if we multiply both the numerator and denominator with same no. then we will have the same answer. This is only for easing the answer.

91/1250 = 91/2×5^4 × 2^3/2^3
= 91×8/2^4×5^4 = 728/10^4 = 728/10000
= 0.0728

Hole this helps you.
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Answer 2

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#AARUSHI