Transcript Lattice Method

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
Step 3: Multiply 2 by 5
2
3
1
0
5
Step 4: Multiply 3 by 5
2
3
1
1
0
5
5
Step 5: Add the numbers
between the slanted lines
2
3
1
1
1
0
1
5
5
5
Step 6: Write your answer to the
problem
2
3
1
1
1
0
1
5
5
5
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
0
4
7
1
2
Step 4: Multiply 4 by 2
4
7
0
4
1
0
8
2
Step 5: Multiply 7 by 1
4
7
0
0
4
7
1
0
8
2
Step 6: Multiply 7 by 2
4
7
0
0
7
4
1
1
0
8
4
2
Step 7: Add up the numbers
between the slanted lines.
4
7
1
0
0
7
4
1
0
1
0
8
5
6
4
4
2
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
47x12=564
1
0
0
7
4
1
0
1
0
8
5
6
4
4
2
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
3
5
5
2
3
1
1
4
2
Step 4: Multiply 8 by 5, 3, & 2.
7
8
3
4
5
3
5
0
2
2
4
1
1
3
1
4
6
2
Step 5: Multiply 3 by 5, 3, & 2.
7
8
3
1
4
5
3
0
2
2
5
0
3
4
1
1
1
4
5
9
0
6
6
2
Step 6: Add up the numbers
between the slanted lines.
7
8
3
1
1
3
5
1
1
4
0
5
5
4
2
2
0
3
4
1
9
1
1
1
0
6
4
6
6
5
5
6
2
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
1
1
3
5
1
1
4
0
5
5
4
2
2
0
3
4
1
9
1
1
1
0
6
4
6
6
5
5
6
2
783 x 532 = 416,556