1. A Multiplication Algorithm
Partial Products
A Multiplication Algorithm

2. Partial Products
“In the Partial Products algorithm, each factor is thought of as a sum of ones, tens, hundreds and so on.” This method relies on the understanding of place value and requires students to think of the whole number – not the individual digits. Each part of one factors is multiplied by each part of the other factor. Then all of the products are added. This method uses the Distributive Property of Multiplication repeatedly.
This method previews a procedure for multiplication that is used in algebra classes in junior high and high school.
Based on EM resources

3. 6 7 X 5 3 3,000 350 180 21 + 3,551 Partial Products Add the results
To find 67 x 53, think of 67 as and 53 as Then multiply each part of one sum by each part of the other, and add the results.
3,000
Calculate 50 X 60
350
Calculate 50 X 7
180
Calculate 3 X 60 21 +
Calculate 3 X 7
3,551
Add the results

4. 1 4 X 2 3 200 80 30 12 + 322 Here is another one... Add the results
Calculate 10 X 20 80
Calculate 20 X 4 30
Calculate 3 X 10 12 +
Calculate 3 X 4
322
Add the results

5. 3 8 X 7 9 2100 560 270 72 + 3002 Try this one on your own!
Let’s see if you’re right. X 7 9
2100
Calculate 30 X 70
560
Calculate 70 X 8
270
Calculate 9 X 30 72 +
Calculate 9 X 8
3002
Add the results