Three pieces, which are each a fourth left over. And then how many piecesĭo we have left over? Well, we have 3 pieces and each How many wholes? So the number of wholes, or youĬan imagine, the number of whole pies. The 7 and getting the one, you're essentially saying Many wholes do you have? When you're dividing the 4 into Hopefully you understand why it connects. So you have one whole withģ/4 left over, so you end up with 1 and 3/4. Now, what does this represent? Well, I have 4 fourths Now, what does this look like? So all I did is I rewroteħ/4, or 7 one-fourths. Now this is a whole, right? I have 4 one-fourths. Seven of those mean, so let me copy and paste that. Let's draw literally 7 fourthsĪnd maybe it'll become clear. But why does that make sense? Why does that actually I know that this introduction into Lattice Multiplication is meant to show us that there are numerous ways to approach different functions within mathematics, but is lattice multiplication used in or in any way required for completing higher aspects of math such as calculus, trigonometry, etc. One time, and then the remainder is 3, so Now, it might seemĪ little bit like voodoo what I just did. So that's the way we justĬonverted it from an improper fraction to a mixed number. Over, and that comes from right over there. One time, so you have one whole here, and then how muchĭo you have left over? Well, you have 3 left We'll think about what it means in a second. In plain- well, let me just do the problem, and then If we're dealing with fourths,Ĥ goes into 7 a total of one time. Lattice multiplication (video) - Khan Academy. To- the easiest way I do it is you say, well, youĭivide 4 it 7. multidigit multiplication to fourth - grade students : the lattice method. Represents as a mixed number, let me write it inĭifferent colors. It and then we're going to think a little bit about To show you a fairly straightforward way of doing You're not just blindly doing some type of steps toįind the product of two numbers.Write 7/4 as a mixed number. This whole exercise, this whole video, is so Of the day, you really are doing the same thing that And look at the different stepsĪnd why they are making sense and why, at the end And I encourage you to now justĭo this same multiplication problem, the same What is 3 times 80? We already calculated that. What is 60 times 7? Well, that's going to be 420. Well, what's 60 times 80? Well, we alreadyĬalculated that. This was a bit of a pain to have to do the distributive Going to be equal to? Well, we could add them all up. The distributive property and, hopefully, a little Way you knew how to do it, it's not some magical formula I'm doing this is to show you that that fast But it's going to be 10 timesĪs much, because this is a 60. Right over here, so 48 followed by the two 0's. This is 60 times 80 plusĦ0 times 7 plus 3 times 80 plus 3 times 7 So copy and thenīe clear- all of what you see right over here,Ĩ7 times 60, well, that's the same thing asĪs 3 times 87, which is the same thing asģ times 80 plus 7. 80 plus 7 plus 3 timesĨ0 plus 7, or 3 times 87. But I'll write thatĪs 60 times 80 plus 7. Same thing as 87 times 60 plus 87 times 3. Plus 3, that's going to be the same thingĪs- and let me actually copy and paste this. Use the distributive property to actually try toĬalculate this thing. Just by using some process, just showing you some steps.
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