Question

Ques . If 241/4000=241/2^m×5^n find the values of m and n where m and n are non negative integers. Hence write it's decimal expansion.

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Answer 1

ANSWER:

m=5 and n=3

STEP BY STEP EXPLANATION

Given:

Fraction 241/4000

we have to convert above fraction as 241/2^m×5^n

Then prime factorisation of 4000 is

4000=2×2×2×2×2×5×5×5=2^5×5^3

which is in the form of 2^m×5^n

so m=5 and n=3

The decimal expansion is 241/4000=0.06025

HOPE THIS WILL HELP YOU