Lattice Multiplication

How to do: Lattice Multiplication Created by Lilian Patrick 2009

What is lattice multiplication and when would we use it? ,[object Object],[object Object]

Sounds great! How do we get started?

Let’s start with a 2-digit by 1-digit example… ,[object Object],[object Object],[object Object]

[object Object],4 2 9 2 x 9 4 x 9

[object Object],4 2 9 1 8 3 6 8 + nothing = 8 6 + 1 = 7 3 + nothing = 3

[object Object],4 2 9 1 8 3 6 8 7 3 42 x 9 = 378

Now let’s try a 2-digit by 2-digit multiplication problem… ,[object Object],[object Object],[object Object]

[object Object],And the numbers: Since they’re both 2-digits, it doesn’t matter which one goes on the top and which one goes to the right of the grid. 5 4 9 7

[object Object],5 4 7 4 x 9 4 x 7 5 x 9 5 x 7 5 4 9 7 3 6 2 8 4 5 3 5 9

[object Object],5 4 9 7 3 6 2 8 4 5 3 5 8 3 1 The 1 is carried from the previous diagonal: 5 + 2 + 6 = 13 The 3 goes at the bottom of that diagonal. The 1 gets added to the next diagonal. 2 5 1 54 x 97 = 5,238

[object Object],1.) 26 x 4 = 2 6 4 2.) 31 x 62 = 3 1 6 2

See if you got the answers! ,[object Object],2 6 4 2 4 8 0 1 0 4 1 3 1 6 2 2.) 1 8 0 6 0 0 6 2 9 1 2 2 1 26 x 4 = 104 31 x 62 = 1,922

Now that you’ve learned lattice multiplication, you can practice with any numbers of your choice! Good luck!

Lattice Multiplication

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