Question

Which of the following is true about the expression 5 x 1/4?

Choices:
It represents the product of a rational and irrational number and is equivalent to a rational number.
It represents the product of a rational and irrational number and is equivalent to an irrational number.
It represents the product of two rational numbers and is equivalent to a rational number.
It represents the product of two rational numbers and is equivalent to an irrational number.

Answer 1

It represents the product of two rational numbers and is equivalent to a rational number.

Answer 2

(C) It represents the product of two rational numbers and is equivalent to a rational number.

Explanation:

The given expression is:

`5{*}{(1)/(4)}`

which can be written as:

`{(5)/(1)}{*}{(1)/(4)}`

Now, both
`{(5)/(1)}` and
`{(1)/(4)}` arerational numbers and if we take the product of these two rational numbers, we will get the rational number that is:

`{(5)/(1)}{*}{(1)/(4)}={(5)/(4)}`

Thus, the expression represents the product of two rational numbers and is equivalent to a rational number.

Therefore, option C is correct.