The document describes the partial products algorithm for multiplication. It shows how to break down two multi-digit numbers into their place values, multiply the corresponding place values, and add the results. Examples are provided where 67 x 53 is broken into (60 x 50) + (60 x 3) + (7 x 50) + (7 x 3) and the results are added, as well as another example of breaking down 10 x 20.

1. Partial Products Algorithm for Multiplication

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

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

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