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  # Lattice Mult. V2
  
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  learn how to do lattice multiplication
  
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  ### Lattice Mult. V2
  
  1. 1. How to do: Lattice Multiplication Created by Lilian Patrick 2009
  2. 2. What is lattice multiplication and when would we use it?  Lattice multiplication is a way to multiply larger numbers (bigger than a 1-digit number times another 1-digit number)  You can use lattice multiplication with any big multiplication problem as long as you can draw a big enough grid!
  3. 3. Sounds great! How do we get started?
  4. 4. Let’s start with a 2- digit by 1-digit example… If you want to multiply: 42 x 9 First, you have to make a 2 by 1 grid (because it’s a 2-digit by 1-digit problem)
  5. 5. Next, in each box, you need to draw a diagonal line from the upper right hand corner through the lower left hand corner. The line should go past the lower left hand corner to the outside of your grid.
  6. 6. Put the 2-digit number across the top of your grid and the 1-digit number on the right side of your grid. 4 2 9
  7. 7. Then, multiply the number on the top of each column with the number to the right of that row. 4 2 4x9 2x9 9
  8. 8. The digit in the tens place of the product goes to the left of the diagonal. The digit in the ones place of the product goes to the right of the diagonal. *If there are no tens or no ones in the product, don’t forget to put a 0! 4 2 3 1 6 8 9
  9. 9. Now, you’re finished with the numbers 42 and 9. Be careful not to use these numbers in the next step! 4 2 3 1 6 8 9
  10. 10. Finally, you need to ADD the numbers inside the grid along the diagonals. Start with the diagonal on the right. Write the answer in the space outside the grid. 4 2 3 1 3 + nothing = 6 8 9 3 6+1= 8 + nothing = 7 8
  11. 11. Your answer is the number outside of the grid. 4 2 3 1 6 8 9 3 7 8 42 x 9 = 378
  12. 12. Now let’s try a 2-digit by 2- digit multiplication problem… Let’s multiply: 54 x 97 Start by making your grid (a 2 by 2 grid this time):
  13. 13. Add the diagonals: 5 4 And the numbers: 9 Since they’re both 2-digits, it doesn’t matter which one goes on the top and 7 which one goes to the right of the grid.
  14. 14. Multiply the number at the top of the column with the side of the row. 5 4 5 4 4x9 5x9 9 4 3 5 6 9 5x7 4x7 7 3 2 8 7 5
  15. 15. Finally, add the numbers along the diagonals. If the sum is greater than 10, carry the 1 into the next diagonal. The 1 is carried from the previous diagonal: 5 4 5 + 2 + 6 = 13 The 3 goes at the bottom of that diagonal. The 1 gets added to the next 1 1 4 3 diagonal. 5 5 6 9 3 2 8 7 5 2 3 8 54 x 97 = 5,238
  16. 16. Now, try these two examples on your own. The grids are drawn for you. Don’t go on to the next slide until you’ve given these problems a try. Look back to previous slides if you need help. 1.) 26 x 4 = 2.) 31 x 62 = 2 6 3 1 4 6 2
  17. 17. See if you got the answers! 1.) 2.) 3 1 2 6 1 0 1 0 1 2 1 6 6 8 1 8 4 4 0 0 6 2 2 9 0 4 2 2 26 x 4 = 104 31 x 62 = 1,922
  18. 18. Now that you’ve learned lattice multiplication, you can practice with any numbers of your choice! Good luck!
explanation: The document is a slide presentation that explains the method of lattice multiplication, a technique for multiplying larger numbers. It provides step-by-step instructions and examples to illustrate the process. The presentation includes a few practice problems for the viewer to try on their own, followed by the answers.
  
  The document contains multiple questions and answers, specifically the practice problems and their solutions.
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distilabel_metadata.content: Upcoming SlideShare
  ×
  
  # Lattice Mult. V2
  
  1,604 views
  
  Published on
  
  learn how to do lattice multiplication
  
  0 Likes
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  Notes
  • Full Name
  Comment goes here.
  
  Are you sure you want to Yes No
  • Be the first to comment
  
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  ### Lattice Mult. V2
  
  1. 1. How to do: Lattice Multiplication Created by Lilian Patrick 2009
  2. 2. What is lattice multiplication and when would we use it?  Lattice multiplication is a way to multiply larger numbers (bigger than a 1-digit number times another 1-digit number)  You can use lattice multiplication with any big multiplication problem as long as you can draw a big enough grid!
  3. 3. Sounds great! How do we get started?
  4. 4. Let’s start with a 2- digit by 1-digit example… If you want to multiply: 42 x 9 First, you have to make a 2 by 1 grid (because it’s a 2-digit by 1-digit problem)
  5. 5. Next, in each box, you need to draw a diagonal line from the upper right hand corner through the lower left hand corner. The line should go past the lower left hand corner to the outside of your grid.
  6. 6. Put the 2-digit number across the top of your grid and the 1-digit number on the right side of your grid. 4 2 9
  7. 7. Then, multiply the number on the top of each column with the number to the right of that row. 4 2 4x9 2x9 9
  8. 8. The digit in the tens place of the product goes to the left of the diagonal. The digit in the ones place of the product goes to the right of the diagonal. *If there are no tens or no ones in the product, don’t forget to put a 0! 4 2 3 1 6 8 9
  9. 9. Now, you’re finished with the numbers 42 and 9. Be careful not to use these numbers in the next step! 4 2 3 1 6 8 9
  10. 10. Finally, you need to ADD the numbers inside the grid along the diagonals. Start with the diagonal on the right. Write the answer in the space outside the grid. 4 2 3 1 3 + nothing = 6 8 9 3 6+1= 8 + nothing = 7 8
  11. 11. Your answer is the number outside of the grid. 4 2 3 1 6 8 9 3 7 8 42 x 9 = 378
  12. 12. Now let’s try a 2-digit by 2- digit multiplication problem… Let’s multiply: 54 x 97 Start by making your grid (a 2 by 2 grid this time):
  13. 13. Add the diagonals: 5 4 And the numbers: 9 Since they’re both 2-digits, it doesn’t matter which one goes on the top and 7 which one goes to the right of the grid.
  14. 14. Multiply the number at the top of the column with the side of the row. 5 4 5 4 4x9 5x9 9 4 3 5 6 9 5x7 4x7 7 3 2 8 7 5
  15. 15. Finally, add the numbers along the diagonals. If the sum is greater than 10, carry the 1 into the next diagonal. The 1 is carried from the previous diagonal: 5 4 5 + 2 + 6 = 13 The 3 goes at the bottom of that diagonal. The 1 gets added to the next 1 1 4 3 diagonal. 5 5 6 9 3 2 8 7 5 2 3 8 54 x 97 = 5,238
  16. 16. Now, try these two examples on your own. The grids are drawn for you. Don’t go on to the next slide until you’ve given these problems a try. Look back to previous slides if you need help. 1.) 26 x 4 = 2.) 31 x 62 = 2 6 3 1 4 6 2
  17. 17. See if you got the answers! 1.) 2.) 3 1 2 6 1 0 1 0 1 2 1 6 6 8 1 8 4 4 0 0 6 2 2 9 0 4 2 2 26 x 4 = 104 31 x 62 = 1,922
  18. 18. Now that you’ve learned lattice multiplication, you can practice with any numbers of your choice! Good luck!
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document is a slide presentation that explains the method of lattice multiplication, a technique for multiplying larger numbers. It provides step-by-step instructions and examples to illustrate the process. The presentation includes a few practice problems for the viewer to try on their own, followed by the answers.
  
  The document contains multiple questions and answers, specifically the practice problems and their solutions.
  
  Label: multiple-question-and-answer