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CCSS.Math:

so it looks like we have some angry cats on our hands yeah they they seem angry and what we want to do is think about how can we separate these angry cats because the only thing worse than an angry cat is twelve of them coordinating potentially to take over the world and so what we're going to think about is can we divide these twelve angry cats into equal groups and just for the sake of this video let's say we want to divide them into three equal groups how could we do that well let me see if I can do it let's see maybe this is one group right over here maybe this is another group right over there and then this is another group are those three equal groups well see this top group has four this group has three and this one has five so no these aren't three equal groups so that won't work it has to be not just three groups three equal groups so let me see if I can do something different I could have these four in a group and then I could have these four in a group I think this is going to work out this time and then I could have these four in a group and as I just said out loud all of these groups have exactly four angry cats in them which is a little bit more manageable and so this works out I have just divided the twelve into three equal groups and how many cats are in each of those equal groups well we can see very clearly that there are four cats in each of those equal groups so the way to think about division in this example as you start with twelve and you're divided into three equal three equal groups and we ended up with four cats four cats per group now what if we wanted to interpret it slightly differently so let's bring in twelve more angry cats which is always a dangerous thing to do but we're doing it for the sake of learning so it's worth it yeah more angry cats and now let's imagine 12 divided by three 12/3 but this time we're not going to think about the three as three equal groups we're going to think about it is twelve divided into groups of three so groups groups of three so each of the equal groups will have three in them and so then that's going to tell us how many equal groups we were able to have so let's do that let's create groups of three so let's see that's a group of three angry cats right over there and this is another group of three angry cats this is a group of three angry cats and then this is a group of three angry cats so how many equal groups of three angry cats do I have we'll have one two three and four equal groups so if I want to take twelve egged cats and divide them into groups of three I end up with four equal four equal groups so there you have it there's two different ways that we could imagine division in the same exact division expression twelve divided by three you could view it as twelve being divided into three equal groups and then the answer would be how many things per group or you could say hey twelve divided into groups of three and then that would end up with four equal groups