Question

Without actual division, show that each of the following rational number is a terminating decimal.Express each in decimal form. 31/(2^2×5^3)

Answer 1

Answer:

Here, Denominator =125=5

3

.

5 is not a factor of 24, so given fraction is in its simplest form.

It can be written as:

125

24

=

(2

0

×5

3

)

24

, which is similar to the form of (2

m

×5

n

)

Hence, the given rational number is terminating .

and its decimal expansion is

125

24

=0.192.