1. Partial Products Algorithm for Multiplication Created by Rina Iati South Western School District Hanover, PA

2. Created By Rina Iati, South Western School District 67 X 53 60 + 7 50 + 3

3. Created By Rina Iati, South Western School District Calculate 50 X 60 67 X 53 3,000 60 + 7 50 + 3

4. Created By Rina Iati, South Western School District Calculate 50 X 60 67 X 53 Calculate 50 X 7 3,000 350 60 + 7 50 + 3

5. Created By Rina Iati, South Western School District Calculate 50 X 60 67 X 53 Calculate 50 X 7 3,000 350 180 Calculate 60 X 3

6. Created By Rina Iati, South Western School District Calculate 50 X 60 67 X 53 Calculate 50 X 7 3,000 350 180 Calculate 3 X 60 Calculate 7 X 3 21

7. Created By Rina Iati, South Western School District Calculate 50 X 60 67 X 53 Calculate 50 X 7 3,000 350 180 21 Calculate 60 X 3 Calculate 7 X 3 + Add the results 3,551

8. Created By Rina Iati, South Western School District 14 X 23 10 + 4 X 20 + 3

9. Created By Rina Iati, South Western School District Calculate 10 X 20 14 X 23 200

10. Created By Rina Iati, South Western School District Calculate 10 X 20 14 X 23 200 Calculate 10 X 3 30

11. Created By Rina Iati, South Western School District Calculate 10 X 20 14 X 23 200 Calculate 10 X 3 30 Calculate 4 X 20 80

12. Created By Rina Iati, South Western School District Calculate 10 X 20 14 X 23 200 Calculate 10 X 3 30 Calculate 4 X 20 80 Calculate 4 X 3 12

13. Created By Rina Iati, South Western School District Calculate 10 X 20 14 X 23 200 Calculate 10 X 3 30 Calculate 4 X 20 80 Calculate 4 X 3 + 12 Add the results 322

14. Created By Rina Iati, South Western School District Calculate 30 X 70 38 X 79 Calculate 70 X 8 2, 100 560 270 72 Calculate 9 X 30 Calculate 9 X 8 + Add the results 3002

15. Created By Rina Iati, South Western School District Benefits of Partial Products Focus is on quantities Focus is on quantities Reinforces place value Reinforces place value Translates well to mental math Translates well to mental math Left to right consistent with how we read Left to right consistent with how we read Illustrates the distributive property of multiplicaiton Illustrates the distributive property of multiplicaiton