1. Partial Products for Multiplication

2. 6 7 X 5 3 3,000 350 180 21 + 3,551 Add the partial products
To find 67 x 53, think of
67 as and
53 as
Then multiply each part of one by each part of the other and add the results.
This is the distributive property. 6 7 X 5 3
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 partial products

3. 1 4 X 2 3 200 80 30 12 + 322 Let’s try another one.
Calculate 10 X 20 80
Calculate 20 X 4 30
Calculate 3 X 10 12 +
Calculate 3 X 4
322
Add the partial products

4. 3 8 X 7 9 2,100 560 270 72 + 3002 Do this one on your own.
Let’s see if you’re right. X 7 9
2,100
Calculate 30 X 70
560
Calculate 70 X 8
270
Calculate 9 X 30 72 +
Calculate 9 X 8
3002
Add the partial products

5. Partial Products
This method of multiplying supports student’s knowledge of the distributive property. Students must think about the value of each number and extend their use of the multiplication facts to multiples of ten. Students also increase their ability to use estimation and mental math.