Lattice Method

1
Lattice Method
of Multiplication
2
286 X 34
3
1. Create a grid. Write one factor along the top,
one digit per cell.
Write the other factor along the outer right
side, one digit per cell.
2
8
6
1
0
2. Draw diagonals across the cells.
2
3
0
6
3.Multiply each digit in the top factor by each
digit in the side factor. Record each answer in
its own cell, placing the tens digit in the upper
half of the cell and the ones digit in the bottom
half of the cell.
4
8
2
0
3
9
4
8
2
4
4. Add along each diagonal and record any
regroupings in the next diagonal
2
1
7
1
4
4
Answer
2
8
6
1
1
1
0
2
3
0
6
4
8
2
0
3
9
4
8
2
4
2
7
4
286 X 34
9
7
2
4
5
732 X 57
6
7
3
2
1
1
3
5
4
5
5
0
4
1
2
7
1
1
9
1
4
4
2
7
1
732 X 57
1,
7
4
2
4
7
Lattice Multiplication
The lattice algorithm for multiplication has been
traced to India, where it was in use before
A.D.1100. Many Everyday Mathematics students
find this particular multiplication algorithm to
be one of their favorites. It helps them keep
track of all the partial products without having
to write extra zeros and it helps them practice
their multiplication facts.