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Partial Products Algorithm for Multiplication

Created by Rina Iati from the South Western School District, this resource delves into the Partial Products Algorithm for multiplication. Students will learn how to multiply numbers using this method, which emphasizes the importance of quantities and reinforces place value. The material is designed to illustrate the distributive property, facilitate mental math skills, and align with left-to-right reading. This comprehensive guide includes various multiplication calculations, aiming to strengthen students' mathematical understanding and fluency.

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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. 60 + 7 6 7 50 + 3 X 5 3 Created By Rina Iati, South Western School District

  3. 6 7 60 + 7 X 5 3 50 + 3 3,000 Calculate 50 X 60 Created By Rina Iati, South Western School District

  4. 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

  5. 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. 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

  7. + 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

  8. 1 4 10 + 4 X 2 3 X20 + 3 Created By Rina Iati, South Western School District

  9. 1 4 X 2 3 200 Calculate 10 X 20 Created By Rina Iati, South Western School District

  10. 1 4 X 2 3 200 Calculate 10 X 20 30 Calculate 10 X 3 Created By Rina Iati, South Western School District

  11. 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

  12. 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

  13. 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

  14. + 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

  15. 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

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