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Multiplication with Arrays and Boxes – A Visual Model

Multiplication with Arrays and Boxes – A Visual Model. How do you solve 17x34 using an array?. The goal is to make easier problems that can be solved without a calculator. 34. 17. Split the array at the place value. For example, 17 and 34 are split into 10 and 7 and 30 and 4. 34. 4. 30.

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Multiplication with Arrays and Boxes – A Visual Model

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  1. Multiplication with Arrays and Boxes – A Visual Model

  2. How do you solve 17x34 using an array?

  3. The goal is to make easier problems that can be solved without a calculator. 34 17

  4. Split the array at the place value. For example, 17 and 34 are split into 10 and 7 and 30 and 4. 34 4 30 10 10x4=40 10 x 30 = 300 17 7x4=28 7 x 30 = 210 7 Find the product of each new array. (These are much easier problems)

  5. Finally, add up the products. 10 x 30 = 300 300 210 40 +28 7 x 30 = 210 10x4=40 7x4=28 578 17 x 34 = 578

  6. How do you solve 26 x 49 using a box? (that would be too many dots to draw)

  7. First, draw a rectangular box. Treat this box like a 26 x 49 array.

  8. 26 rows, 49 in each row. Split those numbers at the place value. 49 40 9 20x9=180 20 x 40 = 800 20 26 6x9=54 6 x 40 = 240 6 Find the product of each new “imaginary” array. (These are much easier problems)

  9. Finally, add up the products just like you did with the array. 800 240 180 +54 20 x 40 = 800 20x9= 180 6 x 40 = 240 1,274 6x9= 54 26 x 49 = 1,274

  10. Try these problems for practice. If you need help, look back at the previous slides. • 17 x 25 • 28 x 31 • 39 x 23 • 47 x 72 • 56 x 17 • 49 x 85 • 99 x 99

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