# Addition table

An addition table is a tool that can be used to find the sum of two chosen numbers in the table. It can help with teaching or learning addition. Below is a table that can be used to determine any of the 100 addition facts formed using the numbers 1-10.

+ | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |

2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |

3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 |

4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 |

5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |

6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |

7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 |

8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 |

9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 |

10 | 11 | 12 | 13 | 14 | 15 | 17 | 17 | 18 | 19 | 20 |

## How to use an addition table

Using an addition table requires an understanding of the rows and columns of a table. The first row and first column of the table contain the numbers 1-10 which represent the two addends in an addition problem. To solve the problem 2 + 7 using the table, find the addends 2 and 7 on the table. It doesn't matter whether the 2 and 7 are chosen from the row or column first. In either case, the sum is 9, and is found as the intersection of the row and column containing 2 and 7:

2 + 7 = 9

7 + 2 = 9

+ | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |

2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |

3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 |

4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 |

5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |

6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 |

7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 |

8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 |

9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 |

10 | 11 | 12 | 13 | 14 | 15 | 17 | 17 | 18 | 19 | 20 |

Although the above addition table only goes up to the number 10, the table can be expanded to include as many numbers as desired, so we can use addition tables to learn the sums of larger numbers as well.

Simply using an addition table to find various sums can help a child familiarize themselves with addition facts. Once they get more familiar with the table, another form of practice is to start with an empty addition table (except for the addend row and column), then fill in the table. This can also work as an introduction to recognizing patterns, since an addition table follows a clear pattern.