Real Numbers: Definition, Types, Properties, and Applications

Apr 14, 2023

Real Numbers

Real numbers are those that can be expressed as infinite decimal expansions with no repeating pattern. They are an important concept in mathematics and are used in a wide range of applications.

Types of Real Numbers

Types of Real Numbers

Real Numbers and Number Line

Real numbers can be represented on a number line, which is a straight line with points that correspond to the numbers. Natural numbers, whole numbers, and integers are located on the left side of the number line, while rational and irrational numbers are located on the right side of the number line.

Real Numbers and Operations

Real numbers can be added, subtracted, multiplied, and divided just like other types of numbers. However, there are some rules that apply specifically to real numbers, such as the commutative, associative, and distributive properties.

Real Numbers and Inequalities

Real numbers can also be compared using inequalities. For example, the symbol ">" means "greater than" and the symbol "<" means "less than". The symbol ">=" means "greater than or equal to" and the symbol "<=" means "less than or equal to".


Real numbers are an important concept in mathematics and are used in a wide range of applications. Understanding the different types of real numbers and their properties is crucial for solving equations and inequalities in math.

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