Post on 30-Dec-2015
description
Lattice versus Traditional
Like your parents and countless others, I started by using the traditional method.After learning and becoming proficient in both methods, I prefer the Lattice myself in terms of speed and accuracy
Lattice versus Traditional
The traditional method requires several memorization steps and can get pretty messy when regrouping is involvedIt also requires you to line up the place value
Lattice versus Partial Product
There is a third method called the Partial Product Method which is also another way to multiply
We will NOT be covering this method.
Lattice MethodWhy
We use the Lattice Method becauseIt is fasterUses a visual grid
One downside is that it requires precise drawing of the grid
Lattice MethodHow
The Lattice is best done with colors and highlighters at first because it takes practice to become efficient at it
The best way to show the Lattice Method is through an example
Let us do something simple:
54 x 12
Lattice MethodExample
Lattice Method
Let us break the numbers down and understand it a bit better.
54 x 1254 has 2 digits (a 5 for the tens place and a 4 for the ones)
12 has 2 digits (a 1 for the tens place and a 2 for the ones)
Lattice Method
54 x 125 4
1
2
Multiply one set
40
4 x 1 = 4
Put product in appropriate triangle
There are zero tens in the product, and four ones
5 41
2
Lattice Method
54 x 12
Multiply one set
40
4 x 2 = 8
Put product in appropriate triangle
There are zero tens in the product, and eight ones
0
8
5 41
2
Lattice Method
54 x 12
Multiply one set
40
5 x 1 = 5
Put product in appropriate triangle
There are zero tens in the product, and five ones
0
8
0
5
5 41
2
Lattice Method
54 x 12
Multiply one set
40
5 x 2 = 10
Put product in appropriate triangle
There are one tens in the product, and zero ones
0
8
0
5
0
1
5 41
2
Lattice Method
54 x 12
Now we just got to add the numbers diagonally.
40
0
8
0
5
0
1
8
8 + nothing is 8
5 41
2
Lattice Method
54 x 12
Now we just got to add the numbers diagonally.
40
0
8
0
5
0
1
8
4 + 0 + 0 = 4
4
5 41
2
Lattice Method
54 x 12
Now we just got to add the numbers diagonally.
40
0
8
0
5
0
1
8
5 + 1 + 0 = 6
46
5 41
2
Lattice Method
54 x 12
Now we just got to add the numbers diagonally.
40
0
8
0
5
0
1
8
0+ 0 = 0
46
0
5 44
9
Lattice Method
54 x 12 =
Add it diagonally
61
3
6
2
0
5
4
6
6 + 3 + 5 = 14
14
Regroup the tens into the next diagonal