In these lessons, we will learn about rational and irrational numbers.

**Related Pages**

Rational Numbers

More Lessons on Numbers

Number Worksheets

GCSE Math Lessons

A rational number is any number that can be expressed as a fraction of two integers.

An irrational number cannot be expressed as a fraction for example the square root of any number other than square numbers. a decimal which neither repeats nor terminates.

The following diagram shows some examples of rational numbers and irrational numbers. Scroll down the page for more examples rational and irrational numbers.

**What is the difference between rational and irrational numbers?**

This tutorial explains the difference between rational and irrational numbers. Rational and irrational numbers form the Real Numbers.

**Rational vs. Irrational Numbers**

This video explains the difference between rational and irrational numbers and how to identify rational and irrational numbers.

**Irrational Numbers**

Although the Greeks initially thought all numeric qualtities could be represented by the ratio of two integers, i.e. rational numbers, we now know that not all numbers are rational. How do we know this?

This video explains why the square root of 2 and the square root of 3 are irrational numbers.

**Rational and Irrational Numbers**

A review of the difference between rational and irrational numbers and decimals - including square rootes and fraction approximations of pi.

A decimal is irrational if it never terminates and it has no repeating pattern.

**Rational Numbers**

Three types of rational numbers: Fractions, Decimals and Percents.

**Irrational Numbers**

**Rational and Irrational Numbers**

This video defines & compares rational and irrational numbers and give some examples of rational and irrational numbers.

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