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## 3rd grade

### Course: 3rd grade > Unit 1

Lesson 1: Multiplication as equal groups# Multiplication as repeated addition

Let's explore the idea of multiplication being the same as repeated addition. It shows how to express multiplication problems using repeated addition and highlights that multiplication is commutative, meaning the order of the numbers doesn't change the outcome.

## Want to join the conversation?

- At2:54, Sal was saying that "
**you can view multiplication as repeated addition**." so is multiplication just reapeated addition?(16 votes)- Multiplication, in a way, can be viewed as repeated addition. It's basically the exact same thing, but since repeated addition would take a lot longer, multiplication is much easier to do and remember. In short, yes, it is basically repeated addition.(17 votes)

- help i do not know what to do(1 vote)
- You can think of multiplication as just groups of another number. For instance, if there were 2 groups of 6 apples, there would be 12 apples. Instead of thinking 2x6=12, if that is hard for you, 6+6=12 is another thing you can do.

By the way, with this equation, you can also do 2+2+2+2+2+2=12 instead of 6+6=12, because they are equal.

Hope this helped. Continue to learn!(2 votes)

- What is 10 times 3(1 vote)
- its 30, For example, you can express the multiplication problem 10 x 3 as 10 + 10 + 10, as you have three groups of 10.(1 vote)

- do you have to use addition for multiplication?(0 votes)
- Even though multiplication is addition, it doesn't mean that you have to use it when doing a multiplication problem. There are other ways of doing multiplication, and addition is just one of those many ways.

Some other ways might be:

- Memorizing your 1-12 times tables

- Algorithm

- Place Value

Hope this helped! If you're still not sure, feel free to ask!(4 votes)

- so 3+33 is 36 its that easy!(0 votes)
- because there the same like 24x34(0 votes)

## Video transcript

- [Instructor] So as
some of you already know, I really enjoy eating a good avocado, which, despite its appearance that it looks like a vegetable, but it's actually a fruit. And let's say that I eat
two avocados per day, and I eat two avocados
per day for six days. Now, there's a couple of
ways that I could think about how many avocados did I eat? I could say, hey, I eat two a day, and I'm going to do that for six days, so I'm gonna add six twos together. So it'll be two, plus two,
plus two, plus two, plus two, plus two, I have six
twos right over there. And then I can add them together. And we could say two plus two is four. You add another two, you get to six. You add another two, you get to eight. Yet another two to get to 10. Yet another two, you get to 12. And that all is fine,
but there's an easier way to express this repeated addition. One way is to view it as multiplication. Instead of just writing out six twos and adding them together,
mathematicians have come up with a neater way of writing that. Let's say, okay, we're going
to add up a bunch of twos. How many twos are we going to add up? We're going to have six of those twos, and we need to come up with
some type of a symbol for it. So we will use this X-looking thing. And so, six times two can be viewed as repeated addition in
exactly this same way. So six times two would be equal to 12. And we could go the other way around. If someone were to ask you,
what is four times three? Pause this video and see
if you can write it out as repeated addition, like we saw up here. Well, one way to interpret this is to say, this is four threes, so
we could say this is equal to three, plus three,
plus three, plus three. And three plus three is
six, six plus three is nine, nine plus three is equal to 12. You might be familiar with skip counting, and you would say three, six, nine, 12. Just out of curiosity, what do you think three
times four is going to be? Pause this video and try to represent it as repeated addition, and then
see what you come up with. Well, we can interpret
this as three fours. And so, we could say this is going to be four, plus four, plus four. And if we skip count fours,
we'd have four, eight, 12, (chuckles) I was about to
go to 16, four, eight, 12. So this is going to be 12. So this is interesting,
at least for this example, for these two examples,
I got to the same thing. Four times three got me the same result as three times four, interesting. I wonder if that's always true. But anyway, big picture from this video is that you can view multiplication
as repeated addition.