# Squared numbers

## Square number = Any number squared is multiplied by itself (2^{2 }= 2 x 2)

Square numbers **are**…..square, see below (using pebbles).

See how each square grows. We extend each side and then fill out all the remainder.

Here are the first 10 numbers squared:

`1^2` |
`=` |
`1times1` |
`=` |
`1` |

`2^2` |
`=` |
`2times2` |
`=` |
`4` |

`3^2` |
`=` |
`3times3` |
`=` |
`9` |

`4^2` |
`=` |
`4times4` |
`=` |
`16` |

`5^2` |
`=` |
`5times5` |
`=` |
`25` |

`6^2` |
`=` |
`6times6` |
`=` |
`36` |

`7^2` |
`=` |
`7times7` |
`=` |
`49` |

`8^2` |
`=` |
`8times8` |
`=` |
`64` |

`9^2` |
`=` |
`9times9` |
`=` |
`81` |

`10^2` |
`=` |
`10times10` |
`=` |
`100` |

Example 1

`5^2=5times5=25`

Example 2

`(-5^2)=-5times-5=25`

(When we square a negative number we get a positive result)

Example 3

3 squared is 9 just as the square root of 9 is 3

Example 4

`(3/4)^2=3/4times3/4=(3times3)/(4times4)=9/16`