# Is 0 a rational, irrational, natural, whole, integer or real number?

##### 1 Answer

Some definitions include it as a natural number and some don't (starting at

#### Explanation:

Natural numbers are the numbers

Whole numbers are the numbers

Integers include negative numbers, but not fractions. So the integers are:

Rational numbers are any number that can be expressed as

There are infinitely many rational numbers, but they do not form a continuous line. The continuous line of numbers is called the real number line. It includes all the previous numbers we have mentioned, but also numbers like

Irrational numbers are any real numbers that are not rational. So

Some (in fact most) irrational numbers are not algebraic, that is they are not the roots of polynomials with integer coefficients. These numbers are called transcendental numbers.