# Rational Numbers And Irrational Numbers Examples

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**Rational numbers and irrational numbers examples**.
Rational numbers, we now know that not all numbers are rational.
0.25 can also be written as 1/4, or 25/100 and all terminating decimals are rational numbers.
√64 is a rational number, as it can be simplified further to 8, which is also the quotient.

Common examples of irrational numbers. Rational numbers are numbers that can be expressed as simple fractions. This includes all real numbers that are not rational numbers.

A rational number is a number that can be written as a fraction whose numerator and denominator are both integers (and the denominator must not be zero). Number 9 can be written as 9/1 where 9 and 1 both are integers. √81 is a rational number, as it can be simplified to 9 and can be expressed as 9/1.

Irrational numbers are real numbers. Expressed in fraction, where denominator ≠ 0. Unsurprisingly, this counterpart is called the irrational number.

Just as numbers that can be written as one integer divided by another integer are rational numbers, there are also numbers that are irrational numbers. This set of numbers is made up of all decimal numbers whose decimal part has infinite numbers. As you might guess, an irrational number is one that cannot be expressed as a fraction or quotient of integers.

Let's look at what makes a number rational or irrational. Sometimes, multiplying two irrational numbers will result in a rational number. 0.5 can be written as ½ or 5/10, and any terminating decimal is a rational number.