# Rational Numbers And Irrational Numbers Definition

**An irrational number is a real number that cannot be written as a simple fraction.**

**Rational numbers and irrational numbers definition**.
The rational numbers includes all positive numbers, negative numbers and zero that can be written as a ratio (fraction) of one number over another.
A number is described as rational if it can be written as a fraction (one integer divided by another integer).
A rational number is one that can be written as the ratio of two integers.

Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction\(\frac{p}{q}\) where p and q are integers. For example all the numbers below are rational: A rational number can be written as a ratio of two integers (ie a simple fraction).

In summary, this is a basic overview of the number classification system, as you move to advanced math, you will encounter complex numbers. The venn diagram below shows examples of all the different types of rational, irrational numbers including integers, whole numbers, repeating decimals and more. Rational numbers and irrational numbers are mutually exclusive:

We aren't saying it's crazy! If a and b are rational; 5 is rational because it can be expressed as the fraction 5/1 which equals 5.

Numbers, b =/= 0, and r is an irrational number, then a +br is irrational create an account to start this course today Pi and the square root of 2 (√2) are irrational numbers. Irrational numbers in decimal form are nonrepeating, nonterminating decimals.

There is a difference between rational and irrational numbers. In simple terms, irrational numbers are real numbers that can’t be written as a simple fraction like 6/1. Real numbers include natural numbers, whole numbers, integers, rational numbers and irrational numbers.