How to Multiply using Lattice

Step 1: How many boxes to you need?

23

X 5

You need 2 boxes on top and 1 on the side.

Step 2: Set up the Lattice Box

2 3

5

2 3

5

Step 3: Multiply 2 by 5

1

0

2 3

5

Step 4: Multiply 3 by 5

01

5

1

2 3

5

Step 5: Add the numbers between the slanted lines

01

5

1

51

1

2 3

5

Step 6: Write your answer to the problem

01

5

1

51

1

23 x 5 =115

Multiplying 2 digit by 2 digit

Step 1: How many boxes to you need?

47

X 12

You need 2 boxes on top and 2 on the side.

Step 2: Set up the Lattice Box

4 7

1

2

Step 3: Multiply 4 by 1

4 7

1

2

4

0

Step 4: Multiply 4 by 2

4 7

1

20

4

0

8

Step 5: Multiply 7 by 1

4 7

1

20

4

0

8

7

0

Step 6: Multiply 7 by 2

4 7

1

20

4

0

8

7

0

4

1

Step 7: Add up the numbers between the slanted lines.

4 7

1

20

4

0

8

7

0

4

1

0

5

6 4

1

If sum = more than 9, carry by adding the number to the slanted row to the left.

Step 8: Write the answer to the multiplication problem.

4 7

1

20

4

0

8

7

0

4

1

0

5

6 4

1

47x12=564

Step 1: How many boxes to you need?

783

X 532

You need 3 boxes on top and 3 on the side.

Step 2: Set up your lattice box. 7 8 3

5

3

2

Step 3: Multiply 7 by 5, 3, & 2. 7 8 3

5

3

2

3

2

5

1

1

4

Step 4: Multiply 8 by 5, 3, & 2. 7 8 3

5

3

2

3

2

5

1

1

4

4

0

2

4

1

6

Step 5: Multiply 3 by 5, 3, & 2. 7 8 3

5

3

2

3

2

5

1

1

4

4

0

2

4

1

6

5

1

0

9

0

6

Step 6: Add up the numbers between the slanted lines.

7 8 3

5

3

2

3

2

5

1

1

4

4

0

2

4

1

6

5

1

0

9

0

6

655

6

1

4

111

If the sum = more than 9, carry by adding the number to the slanted row to the left.

Step 7: Write the sum of the multiplication problem.

7 8 3

5

3

2

3

2

5

1

1

4

4

0

2

4

1

6

5

1

0

9

0

6

655

6

1

4

111

783 x 532 = 416,556