Is -5 a irrational number?

1 Answer
Aug 11, 2016

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.