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I think you've probably heard the word divide before where someone tells you to divide something up Divide the money between you and your brother or between you and your buddy And it essentially means to cut up something So let me write down the word divide Lets say that Have 4 quarters Do my best to draw the quarters If I have 4 quarters just like that That's my rendition of George Washington on the quarters And let's say there's two offs and were going to divide the quarters between us So this is me right here Let me try my best to draw me So that's me right there Lets see I have a lot of hair And then this is you right there Do my best So you're bald You have side burns Maybe you have a little of a beard I want to get too focused on the drawing So that's you that's me and were going to divide these 4 quarters between the 2 of us So notice we have 4 quarter sand were going to divide between the 2 of us There are 2 of us And I want to stress the number 2 So were going to divide4 quarters by 2 We're going to divide it between the 2 of us And you've probably done something like this What happens Well each of us arguing to get 2 quarters So let me divide it We're going to divide it into 2 Essentially what I did do ISI take the 4 quarters and I divide it into 2 equal groups And that's what division is We cut up this group of quarters into 2 equal groups So when you divide 4 quarters into 2 groups so this was 4 quarters right there And you want to divide it into 2 groups This is group 1 Group 1 right here And this is group 2 right here How many numbers are in each group Or how many quarters are in each group Well in each group Have 1 2 quarters Let me use a brighter color I have 1 2 quarter sin each group 1 quarter and 2 quarter sin each group So to write this out mathematically I think this is something that you've done probably as long as you've been splitting money between you and your siblings and your buddies Actually let me scroll over little, so you can see my entire picture How do we write this mathematically We can write that 4divided by-- so this 4 Let me use the right colors So this 4 which is this 4divided by the 2 groups these are the 2 groups group 1 and this is group 2 right here So divided into 2 groups or into 2 collections 4 divided by 2 is equal to--when you divide 4 into 2 groups each group is going to have 2 quarters in if it's going to be equal to 2 And I just wanted to use this example because I want to show you that division is something that you've been using all along And another important I guess takeaway or thing to realize about this is on some level this is the opposite of multiplication If I said that I had 2 groups of 2 quarters I would multiply the 2 groups times the 2quarters each, and I would say I would then have 4 quarters So on some level these assaying the same thing But just to make it a little more concrete in our head lets do a couple of more examples Lets do a bunch of more examples So let's write down what...
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