Therefore, reading from left to right this time, you get your final answer of: 244.Īs many individuals always say, practice makes perfect! Therefore, in this next activity, you are going to practice using lattice multiplication on each of the problems found on the PDF worksheet. Under the third, the only value there is 2. Under the second, there is the value 4 and 0, so 4 + 0 gives us 4. Under the first diagonal, there is only the value 4. You are going to follow your diagonals and add the numbers that fall along the same portion of the diagonal. Step #5: Once you have all of your values written, this is where having the longer lines adds a little bit of an advantage. This gives you 24 which has 2 tens and 4 ones. Now, write your answer in the box like this:Ĭontinue this same process for 6 x 4. This is where students will be reminded of their place values and how important it is to understand the definition of place value. Since 4 x 1 gives us 4, that means there are 0 tens and 4 ones. The reason each box is now divided in half is so that you place the number of tens in your answer in the top left portion and the number of ones in your answer in the bottom right portion. Step #4: Going along with our standard algorithm, we are now going to multiply the 4 in the row and the 1 in the far most right column. Note: the line can go past the lower left hand corner if you prefer, this may help when determining your end result.Step #3: In each individual box, draw a diagonal line from the upper right hand corner to the lower left hand corner like this: Therefore, if the 4 was on the left hand side, the order of the multiplication would be incorrect. We write the 4 on the right hand side of the row so that it lines up with the traditional algorithm that many of us have learned when we were in elementary school. Step #2: Next, draw the box so that it has 2 columns for each of the place values in 61 and 1 row for each place value in 4. Therefore, the number with the smallest number of place values will be the number located on our row and the number 61 will be represented on our columns. The number 61 has 2 place values and the number 4 has only 1 place value. Step #1: In order to determine which number you should place for your rows and which number to place for your columns, it is best to first find the number with the smallest number of place values. Please watch this video up until you hit 2 minutes and 15 seconds.Īfter watching through the video, have you seen this process before? If not, that's okay! We are going to go through a step by step analysis here using a different example than in the video.It is suggested that you right click on the link and open it up in a new tab so you do not lose your current page. Note: This video will take you to another page.Two-Digit Number Multiplied By a One-Digit Numberīefore going through an example of our own, let us first watch a short clip that demonstrates this process for us: Now that we know what lattice multiplication is and where it comes from, let's look at a specific example. This method not only teaches students on how to multiply two larger numbers, but also allows them to work on their organizational skills and practice identifying the place value of a given number. Through the use of the distributive property, we can use this same process for any type of multiplication problem. This process uses the exact same algorithm you probably learned in your own elementary classes, but organizes it into a box thus, this is why many people also refer to this method as the "box-method". This method was later adopted by Fibonacci in the 14th century and seems to be becoming the "go-to" method in teaching elementary students how to multiply two numbers in which at least one of them is a two-digit number or greater. What is Lattice Multiplication and where does it come from? Good question! Lattice multiplication is a process that was first founded in the 10th century in India.
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