# Irrational Numbers

# Irrational Numbers

**Introduction:**Up to now, most of the numbers you have used in math have been rational numbers.

*Rational numbers*are the numbers you are familiar with -- whole numbers, integers, or any number that can be written as a ratio of two integers (fraction). When the fraction is divided, its decimal expansion either ends or repeats. However, there are numbers where this does not occur. These are

*irrational numbers*.

**An irrational number cannot be written as a ratio of two integers (fraction).****An irrational number goes on forever. Its decimal expansion has no pattern and does not end.**

Irrational Number Examples | |
---|---|

Irrational Number | Decimal Approximation |

[math]pi[/math] | [math]3.1416...[/math] |

[math]sqrt2[/math] | [math]1.4142...[/math] |

[math]sqrt3[/math] | [math]1.7320...[/math] |

[math]e[/math] | [math]2.7182...[/math] |

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