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# Lattice Mult. V2

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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!
The text passage is a tutorial on lattice multiplication, a method for multiplying larger numbers. It explains the steps to perform lattice multiplication with examples and provides practice problems at the end.
no_question

the passage does not contain a mathematical question that requires an answer. it is purely instructional, guiding the reader through the process of lattice multiplication. while it does include practice problems at the end, it does not provide answers to these problems within the text.
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
Upcoming SlideShare
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# Lattice Mult. V2

1,604 views

Published on

learn how to do lattice multiplication

0 Likes
Statistics
Notes
• Full Name
Comment goes here.

Are you sure you want to Yes No
• Be the first to comment

• Be the first to like this

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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!
user
The text passage is a tutorial on lattice multiplication, a method for multiplying larger numbers. It explains the steps to perform lattice multiplication with examples and provides practice problems at the end.

TYPE: NO_QUESTION

The passage does not contain a mathematical question that requires an answer. It is purely instructional, guiding the reader through the process of lattice multiplication. While it does include practice problems at the end, it does not provide answers to these problems within the text.