LATTICE MULTIPLICATION

Tutorial 1

Lattice Multiplication is an alternative way of

doing higher level multiplication.

By creating a series of grids (boxes) and

following a few rules you can easily and neatly find

the product to large numbers.

Today’s Example:

64 x 9 =

First, write the larger number down.

6 4

Draw a rectangle below this number.

6 4

The larger number is made up of 2 digits, so cut the rectangle into

two boxes.

6 4

Write the other problem number on the right of

the rectangle.

6 49

Cut the boxes diagonally. For each box draw a line from the bottom left to

the top right.

6 49

Now we do basic multiplication. Start with the 6. If we go

down from the 6 and across from the 9 they

“meet” in that first box.

6 49

6 x 9 = 5 4Write 5 in the top half of

the box and write 4 in the bottom half of the

box.

6 495

4

Move on to the 4. If we go down from the 4 and across from the 9 they “meet” in that second

box.

6 495

4

4 x 9 = 3 6 Write 3 in the top half of

the box and write 6 in the bottom half of the

box.

6 495

43

6

Extend your diagonal lines down.

6 495

43

6

Add the numbers inside the boxes. Use the diagonal lines

to guide you. Start on the right with the 6 then move to the left. 6 + nothing = 6. So put a 6 on the right of

the diagonal lines.

6 495

43

66

3 + 4 = 7. So put a 7 between the diagonal

lines.

6 495

43

667

5 + nothing = 5. So put a 5 to the left of the

diagonal lines.

6 495

43

667

5

That’s it!576 is your answer.

6 4 x 9 = 5 7 6

ON YOUR OWNTry the following

problem using the rules from the example. The answer will be the first

thing given in TUTORIAL 2.

On Your Own Problem:

52 x 7 =