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# Real Numbers Definition

Let us consider a number like $\frac{\sqrt{-5}}{2}$ , $\sqrt{-7}$. These kind of numbers can be expressed in terms of i like $\sqrt{7}$ i,  2.5 i etc. where i represents the imaginary numbers. To differentiate the imaginary numbers from the numbers existing in real there came a concept of  Real Numbers.

Real numbers are defined as those numbers which do not have i (imaginary numbers) as a part of it. It is a Set of both Rational and Irrational Numbers. It is represented by R.
eg: R = {-3,-2,-1,0, 0.5,2,5......}.

In short it represents particular or fixed amount of quantity. It includes positive or negative numbers, natural number, whole numbers, fractional numbers, integers etc.

## History of Real Numbers

The history of Real Numbers starts with two major periods - first one is classical Greek mathematics and the second one is the rigorization and the formalization of mathematics which developed in the 19th century. But in that time, there was lack of knowledge and weakness to understand the real number, and because of this reason the mathematician were unable t...Read More

## Properties of Real Numbers

Real Numbers are used to measure the continuous values. A real number can be rational number or irrational number or it may be positive, negative or zero. It may also be algebraic or transcendental. Properties...Read More

## Whole Number

A Whole number is a Set of Positive integers and 0. These are the Numbers which children learn in their initial days of schooling. The only difference between whole numbers and Natural Numbers is 0 which is added in the lis...Read More

## Further Read

Math Topics
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