# Rational Numbers And Irrational Numbers Definition

**Irrational numbers are numbers that can’t be written as a fraction/quotient of two integers.**

**Rational numbers and irrational numbers definition**.
Let's look at what makes a number rational or irrational.
Every integer is a rational number:
A rational number is a number determined by the ratio of some integer p to some nonzero natural number q.

But it’s also an irrational number, because you can’t write π as a simple fraction: For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. The opposite of rational numbers are irrational numbers.

Can be expressed as the quotient of two integers (ie a fraction) with a denominator that is not zero. A rational number can be written as a ratio of two integers (ie a simple fraction). The rational numbers includes all positive numbers, negative numbers and zero that can be written as a ratio (fraction) of one number over another.

The denominator q is not equal to zero (\(q≠0.\)) some of the properties of irrational numbers are listed below. Numbers such as π and √2 are irrational numbers. The venn diagram below shows examples of all the different types of rational, irrational numbers including integers, whole numbers, repeating decimals and more.

Π is a real number. A rational number is one that can be written as the ratio of two integers. P is called numerator and q is the denominator.

Real numbers also include fraction and decimal numbers. There is a difference between rational and irrational numbers. Learn more properties of rational numbers here.