Successfully reported this slideshow.
We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. You can change your ad preferences anytime.

Lattice Multiplication

13,465 views

Published on

learn how to multiply 2-digit by 1-digit and 2-digit by 2-digit numbers using lattice multiplication

Published in: Technology, Business
  • Thanks for the previous comments. www.HelpWriting.net helped me too
       Reply 
    Are you sure you want to  Yes  No
    Your message goes here
  • If you are looking for trusted essay writing service I highly recommend ⇒⇒⇒WRITE-MY-PAPER.net ⇐⇐⇐ The service I received was great. I got an A on my final paper which really helped my grade. Knowing that I can count on them in the future has really helped relieve the stress, anxiety and workload. I recommend everyone to give them a try. You'll be glad you did.
       Reply 
    Are you sure you want to  Yes  No
    Your message goes here
  • My personal experience with research paper writing services was highly positive. I sent a request to ⇒ www.WritePaper.info ⇐ and found a writer within a few minutes. Because I had to move house and I literally didn’t have any time to sit on a computer for many hours every evening. Thankfully, the writer I chose followed my instructions to the letter. I know we can all write essays ourselves. For those in the same situation I was in, I recommend ⇒ www.WritePaper.info ⇐.
       Reply 
    Are you sure you want to  Yes  No
    Your message goes here
  • I can advise you this service - ⇒ www.HelpWriting.net ⇐ Bought essay here. No problem.
       Reply 
    Are you sure you want to  Yes  No
    Your message goes here
  • Hi there! I just wanted to share a list of sites that helped me a lot during my studies: .................................................................................................................................... www.EssayWrite.best - Write an essay .................................................................................................................................... www.LitReview.xyz - Summary of books .................................................................................................................................... www.Coursework.best - Online coursework .................................................................................................................................... www.Dissertations.me - proquest dissertations .................................................................................................................................... www.ReMovie.club - Movies reviews .................................................................................................................................... www.WebSlides.vip - Best powerpoint presentations .................................................................................................................................... www.WritePaper.info - Write a research paper .................................................................................................................................... www.EddyHelp.com - Homework help online .................................................................................................................................... www.MyResumeHelp.net - Professional resume writing service .................................................................................................................................. www.HelpWriting.net - Help with writing any papers ......................................................................................................................................... Save so as not to lose
       Reply 
    Are you sure you want to  Yes  No
    Your message goes here

Lattice Multiplication

  1. 1. How to do: Lattice Multiplication Created by Lilian Patrick 2009
  2. 2. What is lattice multiplication and when would we use it? <ul><li>Lattice multiplication is a way to multiply larger numbers (bigger than a 1-digit number times another 1-digit number) </li></ul><ul><li>You can use lattice multiplication with any big multiplication problem as long as you can draw a big enough grid! </li></ul>
  3. 3. Sounds great! How do we get started?
  4. 4. Let’s start with a 2-digit by 1-digit example… <ul><li>If you want to multiply: </li></ul><ul><li>42 x 9 </li></ul><ul><li>First, you have to make a 2 by 1 grid (because it’s a 2-digit by 1-digit problem) </li></ul>
  5. 5. <ul><li>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. </li></ul>
  6. 6. <ul><li>Put the 2-digit number across the top of your grid and the 1-digit number on the right side of your grid. </li></ul>4 2 9
  7. 7. <ul><li>Then, multiply the number on the top of each column with the number to the right of that row. </li></ul>4 2 9 2 x 9 4 x 9
  8. 8. <ul><li>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! </li></ul>4 2 9 1 8 3 6
  9. 9. <ul><li>Now, you’re finished with the numbers 42 and 9. Be careful not to use these numbers in the next step! </li></ul>4 2 9 1 8 3 6
  10. 10. <ul><li>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. </li></ul>4 2 9 1 8 3 6 8 + nothing = 8 6 + 1 = 7 3 + nothing = 3
  11. 11. <ul><li>Your answer is the number outside of the grid. </li></ul>4 2 9 1 8 3 6 8 7 3 42 x 9 = 378
  12. 12. Now let’s try a 2-digit by 2-digit multiplication problem… <ul><li>Let’s multiply: </li></ul><ul><li>54 x 97 </li></ul><ul><li>Start by making your grid (a 2 by 2 grid this time): </li></ul>
  13. 13. <ul><li>Add the diagonals: </li></ul>And the numbers: Since they’re both 2-digits, it doesn’t matter which one goes on the top and which one goes to the right of the grid. 5 4 9 7
  14. 14. <ul><li>Multiply the number at the top of the column with the side of the row. </li></ul>5 4 7 4 x 9 4 x 7 5 x 9 5 x 7 5 4 9 7 3 6 2 8 4 5 3 5 9
  15. 15. <ul><li>Finally, add the numbers along the diagonals. If the sum is greater than 10, carry the 1 into the next diagonal. </li></ul>5 4 9 7 3 6 2 8 4 5 3 5 8 3 1 The 1 is carried from the previous diagonal: 5 + 2 + 6 = 13 The 3 goes at the bottom of that diagonal. The 1 gets added to the next diagonal. 2 5 1 54 x 97 = 5,238
  16. 16. <ul><li>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. </li></ul>1.) 26 x 4 = 2 6 4 2.) 31 x 62 = 3 1 6 2
  17. 17. See if you got the answers! <ul><li>1.) </li></ul>2 6 4 2 4 8 0 1 0 4 1 3 1 6 2 2.) 1 8 0 6 0 0 6 2 9 1 2 2 1 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!

×