Question

Is -5 a irrational number?

Answer 1

No, `-5` is an integer.

Explanation:

There are various number types (natural, whole, integer, rational, real and irrational).

Natural numbers are "counting numbers" like `1, 2, 3, 4`.

Whole/counting are like natural numbers, except that they start from `0`.

Integers are all the whole numbers - positive, negative numbers and 0, but not fractions or decimals.

(https://socratic.org/prealgebra/negative-numbers-and-absolute-value/negative-numbers-1),

Rational numbers can be written as `a/b, b !=0`
`-5 " can be written as " (-10)/2, "so it is rational"`
Rational numbers include all the integers, all the vulgar fractions, all the terminating decimals (ones that end, like `0.85`, and all the recurring decimals, unlike `pi`).

Irrational numbers are infinite decimals which do not recur like `pi`, `sqrt2` or `sqrt20`

Non-real/Imaginary numbers do not exist on the numberline,
Numbers like `sqrt(-50), sqrt(-16), 4i`.

`-5` in an integer and is not irrational.