![]() ![]() I drew a 3-digit by 3-digit grouped-box diagram which reflects either 646 x 712 or 712 x 646 since they are both 3-digit numbers. You can watch me teach this example in my video tutorial by clicking HERE. Lastly, I added all the products together using the Backwards Place Value Method so that there is no regrouping or carrying.Ĥ0,000 + 3,500 + 1,600 + 140 + 50 + 2 = 45,292 I multiplied each place value of 52 (there are 2) to each place value of 871 (there are 3). The number 871 holds 3 place values, so it was expanded to 800 + 70 + 1 and each place value was written above a column. The number 52 holds 2 place values, so it was expanded to 50 + 2 and each place value was written beside each row. Given the amount of rows and columns, 52 has 2 digits that match the number of rows (2), and 52 has 2 digit that matches the number of columns (2). This will come out the same if we did a 3-digit by 1-digits grouped-box diagram which would reflect 871 x 52. I drew a 2-digit by 3-digit grouped-box diagram which reflects 52 x 871. When drawing the grouped-box diagrams, the same rule applies.įor example, if we have 17 x 439, both a 2 by 3 box diagram and a 3 by 2 box diagram will work. Why is the Commutative Property Involved? The orders are different, but the answers are the same. Therefore this definition, means that when multiplying, the numbers can be moved around, or reordered, and still produce the same product.įor example, 4 x 5 = 20 and 5 x 4 = 20. Product: the result of multiplying numbers togetherĬommutative Property of Multiplication: Nested in the word commutative is the word “commute”, which means to move around or travel. Place Value: the value of a digit in a number based on it’s position and the multiple of the power of 10 it is ( see the place value chart and examples here). In our case, the dimensions of our grouped-box diagrams are length and width in units of “amount of digits per number” Multiply each top number by each side number, writing the product in the box where they meet.ĭimensions : units of measure that represent length, width, height and so on, which may have units of inches, feet, miles, meters, etc. Write the first number in expanded form on top and the second on the side, with each place value over a box. When you feel like you've got the hang of the Box Method, try it on your own by downloading your 3-Question Practice Sheet from the KOG Math Success Library with your free account.ġ:03 - Rules of Box Method Multiplicationĭraw grouped boxes with columns that match the digits of the first number and rows that match the digits of the second number. The Box Method also lightens the load so that we're essentially doing one-digit multiplication and just writing zeros behind those products when appropriate. And I'll be using my favorite method for adding, the "Backwards Place Value". In this article and video, I'll be teaching 5 examples of the Box Method of Multiplication using the Expanded Form of each number, which helps us to do one operation at a time: multiply then add. Also with all those spaces you create at the bottom after each step, it's hard to tell why the method your using actually works. ![]() ![]() One because when carrying you have to switch from multiplying to adding, which I always forgot to do in school, and sometimes still do. Multiplication of multi-digit numbers using the traditional way can get a little tricky for a few reasons. They don’t have to multiply by 10’s or 100’s.Wish there was an easier way to multiply? Once they know how to correctly draw the grid, all they have to do is simply multiply single digits and then write that answer in a box. Most children understand how to use a basic grid, and because of that children succeed with this method. Yes, it does!!! And for that reason alone I’ve taught my students to do it! Benefits of Lattice Multiplication How about, does it help children solve a problem. It in no way, shape or form builds number sense.ĭoes it prepare a child to do mental math? Nope!!! Lattice multiplication….my one and only reason for liking it is I’ve seen children that haven’t been successful with any other method take off with this one. How to Teach Multiplication Using Arrays and Base 10 Blocks Get Step by Step instructions on how to teach partial productsĭownload your Step by Step Instructions on How to Teach Area Model Today is the last day of my teaching multiplication series! You can information on how to teach other multiplication strategies here. 8) Step 6 The free printable can be found at the END of this post. Click on the blue “get your free printable here” button.
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