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Partial Products Multiplication
By Mr. Kish
Pros and Cons
Pros
• Reinforces the understanding of place value
• Closely related to how a problem would be solved mentally
• More “logical”
Cons
• Sometimes hard to remember order of steps
• More lines of work• Seems to take longer• Not as widely used
An example of partial products
6 35 4x
An example of partial products
x
Make an estimate
6 35 4
An example of partial products
x
Make an estimate
60 * 50
6 35 4
An example of partial products
x
Make an estimate
60 * 50 = 3,000
6 35 4
An example of partial products
x
6 35 4
An example of partial products
6 35 4x
0
0
6 35 4
An example of partial products
x
0
0
6 35 4
An example of partial products
x0
3000 60 * 50
6 35 4
An example of partial products
x
0
0
3000240 60 * 4
6 35 4
An example of partial products
x
0
0
3000240150 3 * 50
6 35 4
An example of partial products
x
0
0
3000240150
12 3 * 4
6 35 4
3000
An example of partial products
x
0
0
240150
12+
6 35 4
3000
An example of partial products
x
0
0
240150
12+
3402
6 35 4
An example of partial products
9 16 2x
An example of partial products
x
Make an estimate
9 16 2
An example of partial products
x
Make an estimate
90 * 60
9 16 2
An example of partial products
x
Make an estimate
90 * 60 = 5,400
9 16 2
An example of partial products
x
9 16 2
An example of partial products
x
0
0
9 16 2
An example of partial products
x
0
0
9 16 2
An example of partial products
x
0
0
5400 90 * 60
9 16 2
An example of partial products
x
0
0
5400180 90 * 2
9 16 2
An example of partial products
x
0
0
5400180
60 1 * 60
9 16 2
An example of partial products
x
0
0
5400180
602 1 * 2
9 16 2
An example of partial products
x
0
0
5400180
602+
9 16 2
An example of partial products
x
0
0
5400180
602+
5642
9 16 2
A more complex example
6 4 2x 3 5 1
A more complex example
6 4 2x
1 8 0 0 0 03 0 0 0 0
1 2 0 0 0 6 0 0
600 * 300
600 * 50
600 * 1
40 * 300
2 2 5 3 4 2
3 5 1
2 0 0 0 4 0
1 0 06 0 0
40 * 50
40 * 1
2 * 300
2 * 50
2 2 * 1
