In the process of adding the same number over and over again, people discovered an important shortcut. It is called multiplication.

\(2 + 2 + 2 = 6\)

Means two is added 3 times, or \(2 \times 3\).

\(2 + 2 + 2 = 2 \times 3 = 6\)

You can use this multiplication chart to help you learn your multiplication facts. Use it to make flashcards to help you memorize the facts. Memorizing your multiplication facts will be helpful to you and make math easier as you continue through the course.

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

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

2 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | 18 | 20 |

3 | 3 | 6 | 9 | 12 | 15 | 18 | 21 | 24 | 27 | 30 |

4 | 4 | 8 | 12 | 16 | 20 | 24 | 28 | 32 | 36 | 40 |

5 | 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50 |

6 | 6 | 12 | 18 | 24 | 30 | 36 | 42 | 48 | 54 | 60 |

7 | 7 | 14 | 21 | 28 | 35 | 42 | 49 | 56 | 63 | 70 |

8 | 8 | 16 | 24 | 32 | 40 | 48 | 56 | 64 | 72 | 80 |

9 | 9 | 18 | 27 | 36 | 45 | 54 | 63 | 72 | 81 | 90 |

10 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 |

**Multiplication Resources**

IXL: Multiplication facts to 12

Education: Multiplication Table Worksheet

Video Source (05:20 mins) | Transcript

Video Source (01:38 mins) | Transcript

Here are some general rules of multiplication as explained in the video.

**Multiplication of 0**

Any number multiplied by 0 equals 0.

- \(3 \times 0 = 0\)
- \(84 \times 0 = 0\)
- \(1538976 \times 0 = 0\)

**Multiplication of 1**

Any number multiplied by 1 remains the same number.

- \(5 \times 1 = 5\)
- \(99 \times 1 = 99\)
- \(53702 \times 1 = 53702\)

**Multiplication of 10**

Any number multiplied by 10 is the same number but with a new 0 at the end.

- \(5 \times 10 = 50\)
- \(44 \times 10 = 440\)
- \(19875 \times 10 = 198750\)

In other words, multiplying by 10 moves all the numbers one place value to the left, or one place value higher.

## Additional Resources

- Khan Academy: Introduction to Multiplication (03:32 mins, Transcript)
- Khan Academy: Multiplication With Arrays (04:18 mins, Transcript)
- Khan Academy: Basic Multiplication (13:20 mins, Transcript)

### Practice Problems

**Evaluate the following expression:**

- \(1 × 4 = ?\) (Video Solution
- \(4 × 3 = ?\) (Solution
- \(8 × 4 = ?\) (Video Solution
- \(9 × 8 = ?\) (Solution
- \(0 × 65 = ?\) (Solution
- \(84 × 1 = ?\) (Solution
- \(49 × 10 = ?\) (Solution

## Need More Help?

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