A common misconception about square numbers is that they are a number multiplied by itself.

This is not correct!

**A square number is the*** answer** *to a number multiplied by itself.

For example, 12^{2} = 12 x 12 = 144

12 isn't the square number, 144 is.

The easiest way to solve problems that involve square numbers is just to know them off by heart, at least the first 15 anyway.

The first 15 square numbers are:

1^{2} |
1 x 1 | 1 |

2^{2} |
2 x 2 | 4 |

3^{2} |
3 x 3 | 9 |

4^{2} |
4 x 4 | 16 |

5^{2} |
5 x 5 | 25 |

6^{2} |
6 x 6 | 36 |

7^{2} |
7 x 7 | 49 |

8^{2} |
8 x 8 | 64 |

9^{2} |
9 x 9 | 81 |

10^{2} |
10 x 10 | 100 |

11^{2} |
11 x 11 | 121 |

12^{2} |
12 x 12 | 144 |

13^{2} |
13 x 13 | 169 |

14^{2} |
14 x 14 | 196 |

15^{2} |
15 x 15 | 225 |

Let's practise using these numbers in calculations now.

**Squaring an integer:**

**e.g. Find the value of 6 ^{2}**

6 x 6 = 36

**Squaring a decimal:**

One thing examiners like to do is to tie in one topic with another.

If you ever see a question involving squaring a decimal **without a calculator**, it will be based around the square numbers which you would already have knowledge of.

**e.g. Find the value of 1.2 ^{2}**

This just means we need to find the value of: 1.2 x 1.2

If we look at our table, we can see that:

12 x 12 = 144

So 1.2 x 1.2 = 1.44 when we put out decimal point back in

Great focus!

In this activity, you will find square numbers and apply your knowledge of square numbers to solve problems.

Now let's attack some questions and really consolidate our knowledge.