# Is 10.2 a rational, irrational, natural, whole, integer or real number?

Jul 6, 2015

If $10.2$ is a precise value, then it is a rational number.

$10.2 = \frac{102}{10} = \frac{51}{5}$

$10.2$ also qualifies as a real number.

#### Explanation:

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

Real numbers are any numbers on the real line, including rational, irrational, positive, negative, natural and whole numbers.

Irrational numbers are any real numbers which are not rational.

Whole numbers are the numbers $0 , 1 , 2 , 3 , \ldots$

Integers are the numbers $0 , 1 , - 1 , 2 , - 2 , 3 , - 3 , \ldots$. So whole numbers are non-negative integers.

Natural numbers are sometimes defined as $1 , 2 , 3 , \ldots$ and sometimes as $0 , 1 , 2 , 3 , \ldots$.