# Real Number

A **real number** is a value that can represent any continuous quantity, positive or negative. Real numbers include integers, rational numbers, and irrational numbers. The adjective *real* applied to the idea of number is to distinguish the real numbers from complex numbers, which can represent values which do not correspond to the points on a single line.

Real numbers correspond one-to-one with the points on an infinite line, and that correspondence produces the real number line.

## Properties of Real Numbers

Main article: Properties of Real Numbers

The real numbers follow many of the same properties as integers, and in particular, can be operated upon using the commutative property of addition and multiplication, the associative property of addition and multiplication, and the distributive property.

## Classification of Real Numbers

Real numbers include integers, rational numbers, and irrational numbers.