Question

Write the denominator of rational number 2827\55000
in the form 2m x 5n , where m, n
are non-negative integers. Hence, write its decimal expansion, without actual
division

Answer 1

Answer:

The fraction 257/5000

Since the denominator is 5000,

The factors for 5000 are:

5000=2×2×2×5×5×5×5

=23×54

257/5000=257/(23×54)

It is a terminating decimal.

So,

Let us multiply both numerator and denominator by 2, we get

257/5000=(257×2)/(5000×2)

=514/10000

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=0.0514