# Is -10 a rational, irrational, natural, whole, integer or real number?

Jul 7, 2015

-10 is a rational, integer and real number.

#### Explanation:

Whole numbers are { 0, 1, 2, 3,... }

Integers are { 0, 1, -1, 2, -2, 3, -3,... }

Some people count 0 as a natural number and some don't. So natural numbers are either { 0, 1, 2, 3,... } or { 1, 2, 3,... }

Rational numbers are numbers which can be expressed as $\frac{p}{q}$ where $p$ and $q$ are integers (positive or negative) and $q \ne 0$

Real numbers are any number on the real line. That includes any of the above numbers.

Irrational numbers are any real numbers which are not rational. They include algebraic numbers (roots of polynomials) like $\sqrt{2}$ and $- \sqrt[3]{3}$, and some well known transcendental numbers like $\pi$ and $e$.