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Partial Products Algorithm for Multiplication Using Base 10 Blocks

Partial Products Algorithm for Multiplication Using Base 10 Blocks. 100. Get ready, mathematicians!! Does your group have some Base 10 Blocks to share?. Solve 3 X 7 = ? using base 10 blocks. Build a 3 X 7 array!. X. Solve 3 X 7 = using base 10 blocks. Build a 3 X 7 array!. X.

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Partial Products Algorithm for Multiplication Using Base 10 Blocks

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  1. Partial Products Algorithm for MultiplicationUsing Base 10 Blocks 100

  2. Get ready, mathematicians!!Does your group have some Base 10 Blocks to share?

  3. Solve 3 X 7 = ? using base 10 blocks Build a 3 X 7 array! X

  4. Solve 3 X 7 = using base 10 blocks Build a 3 X 7 array! X How many blocks are in your array? So 3 x 7 = 21 .

  5. Good work, mathematicians!!You’re ready for double digits!

  6. X Solve 60 X 50 = using base 10 blocks Build a 60 X 50 array! Try to use as FEW blocks as possible. (Trade sets of 10 longs for 1 flat.)

  7. X 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 So 60 x 50 = 3,000 . How many blocks are in your array?

  8. Good work, mathematicians!!You’re ready for a hard one!Make sure to work as a team.

  9. X Solve 67 X 53 = using base 10 blocks Try to use as FEW blocks as possible. (Trade sets of 10 longs for 1 flat. Trade sets of 10 cubes for 1 long.) Build a 67 X 53 array!

  10. X 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100

  11. How many blocks are in your array? 30 = 3,000 35 = 350 18 = 180 21 = 21 3,551 So 67 X 53 = 3,551.

  12. How can we write this using only numbers? We call this method the Partial Products Algorithm. It looks like this…

  13. + 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. Now, 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

  14. Good work, mathematicians!!Let’s try two more problems using the Partial Products algorithm!

  15. + #1 Build this with your blocks. 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

  16. + #2 Build this with your blocks. 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

  17. Any questions? • Now, try some in your Math Journal. • You may still use the blocks or drawings of blocks.

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