Lesson 49: Use the Break-Apart Property To Multiply and Divide by 6 and 7 (part 2)
Math
Hello, everybody. This is the second homework for let's say 49, use a break apart property when dividing and multiplying by 6 and 7. All right, before we get started, again, write down your name. And write down to this date. Okay? Now, before we go to the problems, let's do our little review of what we learned today. Today, we learned that if you have a difficult division, if there is a difficult number to divide for you, you can always bring apart the number into parts that make it easier for you to divide. For example, let's pretend 24 is a difficult number for you that you're having a lot of difficulty doing 24 divided by two. So we're going to break apart 24 into 20 and four, and then we divide each of its parts by two. And 20 divided by two, you should know it's ten. Plus four divided by two, you should know it's two. And again, you should know that ten plus two is 12. And we got our answer just by breaking apart that very difficult number 24, okay? Our answer is 12. So that is what we learned today. Now let's go back to the lesson. Okay. Number two, I'm going to give you some time to do number two when you're done with your work. Press play and see how I do it, okay? Ready, set, go. 54 divided by 6. So 54, a very difficult number sometimes. We break it apart into 30. And what other parts? You could either use mental map and figure out that it was 24, or you can just find the missing part by subtracting 30 for a minute, okay? I'm sorry that was my mistake. Okay, and now let's go to the number sentences. 54 divided by 6 equals 30 divided by 6, that's that. Plus 24 divided by 6. That's equal to now we need to get the quotient for each of the divisions 30 divided by 6 is 5. So they wrote down 5 there for you. Plus what's 24 divided by 6? It's equal to four. And now 5 plus four had easy addition for us. That's equal to 9. Okay, now I want you to go to number three and do it on your own. Ready, set, go. 56 divided by 7. What do we do here? We broke apart the 56, a very difficult number into two of its parts, 35, and we'll be the other part. Let's find out, okay? 56 -35. One, two, 21. So we broke it apart into 35 and 21. What's 35 divided by 70? 5. What's 21 divided by 7? Three. Now let's go to our number sentences. 56 divided by 7 equals this division plus this division. So let's write that down 35. Divided by 7 plus 21 divided by 7. And that is equal to this quotient plus this quotient. Okay? 5 plus three. And 5 plus three is an easy addition for us. That's equal to 8. Okay. Let's move on to the word problem. Number four, it says 42 third grade students sit in 6 equal rows and the auditorium. How many students sit in each row show your thinking? Okay, for this problem, I want you to draw a tape diagram, an equation, and when you're done write the answer in a complete sentence, okay? When I say go for his pause, it work on this, and then when you're done with your work press play, and see how I did it ready, set, go. Okay, I want you to take a look at my tape diagram here. I have 6 units. Each unit represents the row, a row. So there are 6 units, 6 rows. The total of the whole tip diagram is 42 students. And we are trying to find the value of S. Okay, how do we find the value of S what numbers have this? Should we write? We should write 42. Divided by 6. Equals S okay. So now let's write a multiplication sentence for this. That means this means that some number that 6 multiplied by S will give us 42. Okay, so we can skip count by 6. And find out what that is. Let's find out. 6, 12, 18, 24, 30, 36, and 42. How many counts? One, two, three, four, 5, 6, 7. So S is equal to 7. And now we can fill out our answer. There are 40, I'm sorry. There are 7 students in each room. Okay, and that's number four. If you got it wrong, please make sure you correct your answers. Now let's go to number two. I'm sorry, number 5. Number 5 says Ronaldo solves 7 times 7 by thinking of it as 5 times 7 plus 7 is he correct, explain Ronaldo's strategy. Okay, so here you're going to use you're going to use words to explain. And your old you might also want to use numbers to show to show me something, okay? I'll do this when I say go Chris pause. And when you're done Chris play to see how I do it ready, set, go. All right, so is Ronaldo correct. And the answer is yes. Let me show you why. So 7 times 6, you can look at it as 6 7s. Okay, and you can break apart the 6 7s into 5 7s. Plus one 7, and if you turn these into a multiplication, you will be doing 5 times 7. Plus one times 7, and we know that one times 7 is just equal to 7. So this is equal to 5 times 7 plus 7. And if we keep going on, we'll find the answer. But the thing is that, yes, Ronaldo is correct 6, 7 times 6 is equal to 5 times 7 plus 7. Okay? So you can write that or you can write down an explanation like this one, for example. He is correct because if you break up 67 5 7 and one 7, you get 5 times 7 plus one 7. All right, everybody. Okay, have a great weekend. Don't forget to study for math B, bye.