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Multiplication - Associative Property
Edu-Primes
Follow
9/9/2024
Category
📚
Learning
Transcript
Display full video transcript
00:00
Hey kids, thanks for joining King Parentheses and me today.
00:11
We are learning more about multiplication, specifically what we call the associative
00:15
property of multiplication. We would like to get your help. Will you help us?
00:23
Great let's get started.
00:27
The associative property of multiplication says when you are multiplying several digits
00:32
you can regroup or reorder the numbers and the product will stay the same.
00:37
Here we have an example of this concept. 3 times 4 times 2. We are multiplying 3 digits
00:44
but where should we start? We could start with 3 times 4 or we could start with 4 times
00:49
2.
00:51
The associative property tells us it does not matter which way we do it. We can choose
00:55
which group of numbers we start to multiply. That is kind of cool.
01:02
I want to start by multiplying 4 and 2. This gives us 8.
01:09
Now we have 8 multiplied by 3. What is 8 multiplied by 3?
01:15
The answer is 24. Great job! But now I want to try the other way so let's clear the board.
01:23
We will start with 3 multiplied by 4 which gives us 12.
01:29
Now all we have left to do is multiply 12 by 2.
01:34
12 times 2 is 24. We got the same answer regardless of which numbers we started multiplying together.
01:42
This is awesome!
01:45
Let's look at another problem and see what we can do.
01:51
This time our friend king parenthesis is helping us group the numbers by putting a parenthesis
01:55
around two of the numbers. We can see that we have the same problem on both sides of
02:00
the board but with the parenthesis grouping different sets of numbers. We learned before
02:05
that both of these problems should come out to be the same answer or product.
02:14
King parenthesis just told me that I forgot to tell you something important. Whenever
02:18
you do a math problem that has parenthesis you need to do what's inside first. Remember
02:23
the king parenthesis comes first in math problems. So when we work this problem we need to multiply
02:29
the numbers in the parenthesis first even though the answers will still be the same.
02:34
Thank you king parenthesis.
02:38
We will start with the problem on the left. Remember the king goes first so let's multiply
02:43
2 by 2.
02:46
We get 4 and now all we have left to do is multiply 4 by the last number which is 5.
02:52
What is 4 times 5?
02:57
If you said 20 you are correct.
03:00
Now we can do the problem on the right side of the board and if the associative property
03:04
of multiplication is right we should get the same answer.
03:09
To start we remember the king goes first so we multiply the numbers in the parenthesis
03:14
2 times 5. The answer to that is 10.
03:19
Now all that is left is 10 multiplied by 2. What is 10 times 2?
03:27
20! Great job kids! We can see that both problems give us the same answer no matter how we group
03:34
the numbers. This is amazing stuff! Thank you so much for joining us today.
03:41
King and I have to get going so we will see you later.
03:48
King stop making so much noise!
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