Question

Which statement is true about the number −5 ?

The number −5 is a rational number because it can be written as the fraction −51 .

The number −5 is not a rational number because it cannot be written as a ratio of integers.

The number −5 is a rational number because it can be written as the fraction −50 .

The number −5 is not rational number because it is a negative integer.

Answer 1

- 5 is a rational number because it can be written as the fraction
`(- 5)/(1)`.

Explanation:

Every integer is a rational number whether it is positive or negative.

Let us assume that n be an integer, so, it can be expressed as
`(n)/(1)`, where n and 1 both are integers and hence n is a rational number.

Now, - 5 is a negative integer and it can be expressed as the quotient of two integers like - 5 =
`(- 5)/(1)`.

Hence, - 5 is a rational number because it can be written as the fraction
`(- 5)/(1)`. (Answer)