We’ve seen here one way to multiply numbers. Another similar, but quicker way to do multiplication calculations involves regrouping and carrying forward. The examples on this page show how this can be done.

Check out this multiplication worksheet generator to help practice multiplication. You can set up your own type of question by selecting a range of values for both numbers and you can randomly generate any number of practice questions.

### Multiplication – another way (regroup and carry forward)

318 x 6 = | |

Multiply the ones 6 x 8 = 48 | 3 1 8 x 6 |

Write the 8 in the ones’ place and carry the 4 forward to the tens’ place | 3 1^{4}8x 68 |

Multiply the tens 6 x 1 = 6 and add the 4 that was carried forward 6 + 4 = 10 | 3^{1}1^{4}8x 68 |

Write the 0 in the tens’ place and carry the 1 forward to the hundreds’ place | 3^{1}1^{4}8x 60 8 |

Multiply the hundreds 6 x 3 = 18 and add the 1 that was carried forward 18 + 1 = 19 | 3^{1}1^{4}8x 60 8 |

Write the 1 in the thousands’ place and the 9 in the hundreds’ place | 3^{1}1^{4}8x 61 9 0 8 |

318 x 6 = 1908 |

Notice that in the example below there is one step that does not require regrouping and carrying forward.

403 x 7 = | |

Multiply the ones 7 x 3 = 21 | 4 0 3 x 7 |

Write the 1 in the ones’ place and carry the 2 forward to the tens’ place | 4 0^{2}3x 71 |

Multiply the tens 7 x 0 = 0 and add the 2 that was carried forward 0 + 2 = 2 | 4 0^{2}3x 71 |

Write the 2 in the tens’ place (note: there’s nothing to carry forward in this case) | 4 0^{2}3x 72 1 |

Multiply the hundreds 7 x 4 = 28 | 4 0^{2}3x 72 1 |

Write the 2 in the thousands’ place and the 8 in the hundreds’ place | 4 0^{2}3x 72 8 2 1 |

403 x 7 = 2821 |

Check to be sure your child knows that regrouping and carrying forward is often not required for some, or all the steps when using this method of multiplication.

Try the worksheets below for more practice with multiplying by regrouping and carrying forward.

- 2 x 1 digit – Products to 99 e.g. 23 x 2
- 2 x 1 digit – Products to 999 e.g. 93 x 4
- 2 x 1 digit – regrouping e.g. 73 x 7
- 3 x 1 digit e.g. 436 x 7

You’ll find more printable multiplication worksheets here.