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Partial Products Algorithm for Multiplication. Created by Rina Iati South Western School District Hanover, PA. 60 + 7. 6. 7. 50 + 3. X. 5. 3. 6. 7. 60 + 7. X. 5. 3. 50 + 3. 3,000. Calculate 50 X 60. 6. 7. 60 + 7. X. 5. 3. 50 + 3. 3,000. Calculate 50 X 60. 350.
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Partial Products Algorithm for Multiplication Created by Rina Iati South Western School District Hanover, PA
60 + 7 6 7 50 + 3 X 5 3 Created By Rina Iati, South Western School District
6 7 60 + 7 X 5 3 50 + 3 3,000 Calculate 50 X 60 Created By Rina Iati, South Western School District
6 7 60 + 7 X 5 3 50 + 3 3,000 Calculate 50 X 60 350 Calculate 50 X 7 Created By Rina Iati, South Western School District
6 7 X 5 3 3,000 Calculate 50 X 60 350 Calculate 50 X 7 180 Calculate 60 X 3 Created By Rina Iati, South Western School District
6 7 X 5 3 3,000 Calculate 50 X 60 350 Calculate 50 X 7 180 Calculate 3 X 60 21 Calculate 7 X 3 Created By Rina Iati, South Western School District
+ 6 7 X 5 3 3,000 Calculate 50 X 60 350 Calculate 50 X 7 180 Calculate 60 X 3 21 Calculate 7 X 3 3,551 Add the results Created By Rina Iati, South Western School District
1 4 10 + 4 X 2 3 X20 + 3 Created By Rina Iati, South Western School District
1 4 X 2 3 200 Calculate 10 X 20 Created By Rina Iati, South Western School District
1 4 X 2 3 200 Calculate 10 X 20 30 Calculate 10 X 3 Created By Rina Iati, South Western School District
1 4 X 2 3 200 Calculate 10 X 20 30 Calculate 10 X 3 80 Calculate 4 X 20 Created By Rina Iati, South Western School District
1 4 X 2 3 200 Calculate 10 X 20 30 Calculate 10 X 3 80 Calculate 4 X 20 12 Calculate 4 X 3 Created By Rina Iati, South Western School District
1 4 X 2 3 200 Calculate 10 X 20 30 Calculate 10 X 3 80 Calculate 4 X 20 + 12 Calculate 4 X 3 Add the results 322 Created By Rina Iati, South Western School District
+ 3 8 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 results Created By Rina Iati, South Western School District
Benefits of Partial Products • Focus is on quantities • Reinforces place value • Translates well to mental math • Left to right consistent with how we read • Illustrates the distributive property of multiplicaiton Created By Rina Iati, South Western School District