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Partial Products Algorithm for Multiplication

This educational resource introduces the Partial Products Algorithm for multiplication, designed by Rina Iati from the South Western School District, Hanover, PA. The guide incorporates practical examples, demonstrating how to break down numbers into manageable parts for easier calculation. For instance, to compute 67 x 53, students should view 67 as 60 + 7 and 53 as 50 + 3, then multiply each part and sum the results. Additional examples and exercises are included to reinforce understanding and encourage independent practice.

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Partial Products Algorithm for Multiplication

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

  2. + 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 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 results Created By Rina Iati, South Western School District

  3. + Let’s try another one. 1 4 X 2 3 200 Calculate 10 X 20 80 Calculate 20 X 4 30 Calculate 3 X 10 12 Calculate 3 X 4 322 Add the results Created By Rina Iati, South Western School District

  4. + Do this one on your own. 3 8 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 results Created By Rina Iati, South Western School District

  5. Created By Rina Iati, South Western School District

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