## Long Multiplication

We have to calculate 436*54. We can write one number as the top row of a table as shown and the other number as the first column. We multiply an element in a row by an element in a column to get that element in the table.

* | 400 | 30 | 6 |

50 | 20000 | 1500 | 300 |

4 | 1600 | 120 | 24 |

To find the element in the 3 ^{rd } row 3 ^{rd } column (shown in blue) we multiply 4 in the 3 ^{rd } row by 30 in the 3 ^{rd } column.

Then we add up all the answers in the table. We obtain:20000+1500+300+1600+120+24=23544.

Example: Find 456*24

* | 400 | 50 | 6 |

20 | 8000 | 1000 | 120 |

4 | 1600 | 200 | 24 |

Then we add up all the answers in the table. We obtain 8000+1000+120+1500+200+24=10944