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The Partial Products Method

The Partial Products Method. Differentiate By Giving Students a Choice. This slideshow is set up to demonstrate the partial product method. A detailed solution is offered for the traditional algorithm as well as the partial product method.

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The Partial Products Method

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  1. The Partial Products Method

  2. Differentiate By Giving Students a Choice • This slideshow is set up to demonstrate the partial product method. • A detailed solution is offered for the traditional algorithm as well as the partial product method. • You can focus on the partial products method, give students a choice, or have them solve each problem both ways.

  3. Differentiate By Giving Students a Choice • When students learn multiple ways to solve arithmetic problems, they can choose the way that works best for them. • This can lead to kids feeling more successful, and in many cases it helps them to understand the math better.

  4. The Partial Products Method • The benefits to exposing students to this method include: • It helps provide an understanding of what is happening when they use the traditional algorithm. • It provides the a chance to reinforce the pattern of multiplying by powers of ten. • It reinforces the definition of expanded form.

  5. 37 x 46 = 30 + 7 = 40 + 6 Write the expanded form of each of number.

  6. 37 x 46 = 30 + 7 30 x 40 = 40 + 6 7 x 40 30 x 6 Multiply both parts of the multiplicand (first or top number) by both parts of the multiplier (second or bottom number.) 7 x 6

  7. 37 x 46 = 30 + 7 1200 30 x 40 = 40 + 6 280 7 x 40 30 x 6 180 7 x 6 42 + 1702

  8. Find the product.

  9. 84 x 92 = 80 + 4 = 90 + 2 Write the expanded form of each of number.

  10. 84 x 92 = 80 + 4 80 x 90 = 90 + 2 4 x 90 80 x 2 Multiply both parts of the multiplicand (first or top number) by both parts of the multiplier (second or bottom number.) 4 x 2

  11. 84 x 92 = 80 + 4 7200 80 x 90 = 90 + 2 360 4 x 90 80 x 2 160 4 x 2 8 + 7728

  12. Another way to check your solution

  13. Find the product.

  14. 39 x 52 = 30 + 9 = 50 + 2 Write the expanded form of each of number.

  15. 39 x 52 = 30 + 9 30 x 50 = 50 + 2 9 x 50 30 x 2 Multiply both parts of the multiplicand (first or top number) by both parts of the multiplier (second or bottom number.) 9 x 2

  16. 39 x 52 = 30 + 9 1500 30 x 50 = 50 + 2 450 9 x 50 30 x 2 60 9 x 2 18 + 2028

  17. Another way to check your solution

  18. Find the product.

  19. 23 x 27 = 20 + 3 = 20 + 7 Write the expanded form of each of number.

  20. 23 x 27 = 20 + 3 20 x 20 = 20 + 7 3 x 20 20 x 7 Multiply both parts of the multiplicand (first or top number) by both parts of the multiplier (second or bottom number.) 3 x 7

  21. 23 x 27 = 20 + 3 400 20 x 20 = 20 + 7 60 3 x 20 20 x 7 140 3 x 7 21 + 621

  22. Another way to check your solution

  23. Find the product.

  24. 87 x 97 = 80 + 7 = 90 + 7 Write the expanded form of each of number.

  25. 87 x 97 = 80 + 7 80 x 90 = 90 + 7 7 x 90 80 x 7 Multiply both parts of the multiplicand (first or top number) by both parts of the multiplier (second or bottom number.) 7 x 7

  26. 87 x 97 = 80 + 7 7200 80 x 90 = 90 + 7 630 7 x 90 80 x 7 56 7 x 7 49 + 8439

  27. Another way to check your solution

  28. Find the product.

  29. 63 x 54 = 60 + 3 = 50 + 4 Write the expanded form of each of number.

  30. 63 x 54 = 60 + 3 60 x 50 = 50 + 4 3 x 50 60 x 4 Multiply both parts of the multiplicand (first or top number) by both parts of the multiplier (second or bottom number.) 3 x 4

  31. 63 x 54 = 60 + 3 3000 60 x 50 = 50 + 4 150 3 x 50 60 x 4 240 3 x 4 12 + 3402

  32. Another way to check your solution

  33. Find the product.

  34. 79 x 37 = 70 + 9 = 30 + 7 Write the expanded form of each of number.

  35. 79 x 37 = 70 + 9 70 x 30 = 30 + 7 9 x 30 70 x 7 Multiply both parts of the multiplicand (first or top number) by both parts of the multiplier (second or bottom number.) 9 x 7

  36. 79 x 37 = 70 + 9 2100 70 x 30 = 30 + 7 270 9 x 30 70 x 7 490 9 x 7 63 + 2923

  37. Another way to check your solution

  38. Find the product.

  39. 94 x 77 = 90 + 4 = 70 + 7 Write the expanded form of each of number.

  40. 94 x 77 = 90 + 4 90 x 70 = 70 + 7 4 x 70 90 x 7 Multiply both parts of the multiplicand (first or top number) by both parts of the multiplier (second or bottom number.) 4 x 7

  41. 94 x 77 = 90 + 4 6300 90 x 70 = 70 + 7 280 4 x 70 90 x 7 630 4 x 7 28 + 7238

  42. Another way to check your solution

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