Question

without actual division show that each of the following rational number is a terminating decimal number?
$232 \div ^{2} \times 5^{2}$
​

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

Answer 2

Step-by-step explanation:

Answer. As the denominator of the given fraction can be expressed in the form 2^m ×5^n,so it is a terminating decimal. 2.625 can be expressed as 5^4 × 2^0 which is in the form 2^m × 5^n. So it's also a terminating decimal.