# Is 5 a rational, irrational, natural, whole, integer or real number?

Jul 10, 2015

It can be assigned to all above groups except irrational numbers.

#### Explanation:

1. If a number consists only of digits, it is a natural number.
2. An integer is a natural number or a number with minus sign and digits only.
3. If it can be represented as a fraction, it is rational,
4. If it cannot be represented as a fraction it is irrational.

The sets mentioned in points 2 and 3 include the ones mentioned above ($\mathbb{N} \subset \mathbb{Z} \subset \mathbb{Q}$)

Rational and irrational numbers form real numbers set.

$5$ consists of digits only so it is natural, but as mentioned above it is also integer, rational and real.