# Grid

In mathematics, a grid is a set of intersecting lines. It is widely used in mathematics for locating points, drawing figures, organizing data, and more.

The following are some examples of grids used in math.

## Coordinate systems

Coordinate systems often use grids to help with determining the position of points in a coordinate plane. In a rectangular coordinate plane, the grid is normally parallel to the x- and y- axis. Grids are also frequently used in the context of polar coordinate systems, maps, and other coordinate systems. The following are some examples.

## Graph paper

Graph paper, also called coordinate paper, squared paper, or grid paper, is paper printed with lines that make up a structure of regularly spaced, intersecting lines, that may be straight or curved. Graph paper is useful for plotting graphs and drawing curves.

Graph paper is available either as loose-leaf paper or bound in notebooks. The most common type of graph paper is printed with square grids of equal size. Log-log grid paper, polar coordinate paper, and many other types also exist.

## Other usages of grids in mathematics

Grids are also widely used in mathematics for organizing data or demonstrating a concept. The multiplication table and addition table below are two examples.

× | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |

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

2 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 |

3 | 3 | 6 | 9 | 12 | 15 | 18 | 21 | 24 | 27 |

4 | 4 | 8 | 12 | 16 | 20 | 24 | 28 | 32 | 36 |

5 | 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 |

6 | 6 | 12 | 18 | 24 | 30 | 36 | 42 | 48 | 54 |

7 | 7 | 14 | 21 | 28 | 35 | 42 | 49 | 56 | 63 |

8 | 8 | 16 | 24 | 32 | 40 | 48 | 56 | 64 | 72 |

9 | 9 | 18 | 27 | 36 | 45 | 54 | 63 | 72 | 81 |

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

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

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

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

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

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

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

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

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

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