Mathematics
Write the denominator of the rational number in the form 2m × 5n where m, n are non-negative integers. Hence, write its decimal expansion without actual division.
Rational Irrational Nos
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Answer
The given number is in its lowest form.
Prime factorization of denominator 5000:
5000 = 2 x 2 x 2 x 5 x 5 x 5 x 5
= 23 x 54
Hence, denominator of rational number in the form 2m × 5n is 23 x 54 where m = 3 and n = 4.
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