Question

 The decimal expansion of the rational number 24/3×32×5 will terminate after 24/3×32×5​

Answer 1

Answer:

We know that a terminating decimal is a decimal that ends. It's a decimal with a finite number of digits. For example

4

1

=0.25, it has only two decimal digits.

Now consider the fraction

32

5

whose decimal form will be:

32

5

=0.15625

The resulting decimal number ends with five decimal digits and therefore, it is terminating decimal.

Hence,

32

5

has a terminating decimal expansion.

While,

9

7

=0.7777..., non-terminating,

15

8

=0.5333..., non-terminating

and

9

7

=0.08333..., non-terminating