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## Operations and Algebraic Thinking 189-200

# Division as equal groups

CCSS.Math:

Sal represents division as equal groups of objects.

## Want to join the conversation?

- In example let's just say that 12 divided by 4 = 3 and 12 divided by 3 = 4? Is that make sense so you don't do that like that you have to go slow and get how you get that? Is that make sense? Thank you for listening?(16 votes)
- Um... What? I couldn't understand you. But 12 divided by 3=4, so that means 3 times 4 is 12. That also means 12 divided by 4 is 3. Because it is a fact family. So yes. It does make sense.(10 votes)

- First what you would do is 12x3 and that is 36. Last you would add the zeros and since there are two zeros you would add the two zeros into the 36+the zeros in the 300 and you would get 3600(3 votes)

- 0:16angry cat attack(19 votes)
- If you have any questions about this video, then comment and I will be glad to answer your question!(15 votes)
- I LOVE the 12-24 angry cats!(5 votes)
- and also can you also give me a example of division and multaplacation togther thank you(3 votes)
- not helpful but it could understand a little...(3 votes)
- i have a question was that a cat pun per group and another what is there are 3 divided by 10 is it a trick question or a real one(3 votes)
- How come division is like multiplication but not the same awser(2 votes)
- Division is the opposite operation to multiplication.

5 x 2 = 10

10 / 2 = 5(3 votes)

- No bring in 1000000000000000000000000000000000000000000000000000000000000000000000000 angry cats.(3 votes)

## Video transcript

- [Instructor] So it looks
like we have some angry cats on our hands, meow, yeah they seem angry. And what we want to do is
think about how can we separate these angry cats 'cause the
only thing worse than an angry cat is 12 of them coordinating
potentially to take over the world. And so what we're going to
think about is can we divide these 12 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? Let's 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
12 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 is you started with 12 and you
divide it 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 12 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. Meow, yep more angry cats. And now let's imagine 12
divided by three, 12 divided by three, but this time we're
not going to think about the three as three equal groups,
we're going to think about it as 12 divided into groups of three. So 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're 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. 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? Well I have one, two, three,
and four equal groups. So if I want to take 12
angry 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 can imagine division. And the same exact division
expression 12 divided by three, you could do it as 12 being
divided into three equal groups and then the answer
would be how many things per group. Or you could say hey 12
divided into groups of three and then that would end
up with four equal groups.