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## Class 7 (Old)

### Course: Class 7 (Old)>Unit 1

Lesson 3: Properties of multiplication

# Associative law of multiplication

Associative Law of Multiplication. Created by Sal Khan and Monterey Institute for Technology and Education.

## Want to join the conversation?

• Is it possible to mix multiplication with addition??
• It's possible but if you know the order of operations then you know that multiplication comes before addition
• Also,can you mix associative with commutative?
• Yes. You can group and change the position of the numbers at your will, making any possible combination.
• Why are the associative law and the commutative law considered two different laws? The commutative law states that 12 x 3 x 10 = 3 x 10 x 12. The associative law states that (12 x 3) x 10 = 12 x (3 x 10). But that is doing the exact same thing! Doing the parentheses first is the same thing as removing the parentheses and putting the numbers inside at the beginning of the equation! So what is the difference?
• Can you mix subtraction with Addition?
• The associative law only applies to addition and multiplication. It does not work with subtraction or division.

Associate Law = A + (B + C) = (A + B) + C
1 + (2 + 3) = (1 + 2) + 3
1 + 5 = 3 + 3
6=6
I'll try the same formula with subtraction.
1 - (2 - 3) = (1 - 2) - 3
1 - - 1 = -1 - 3
2 = - 4

Simply put, the order in which things occur make a difference. Hope that helps!
• whats the difference between the commutative and the associative property?
• Communitive property is when you change the order of numbers:
A+B = B+A
A*B = B*A

Associative Property is when you change the location of the parenthesis:
A+(B+C) = (A+B)+C
A(BC) = (AB)C
• Why can't there be an associative property of division or subtraction?
• The reason why is because if you try and regroup the numbers, different answers will occur. I hope this will help you!
• For the associative property to work, do you have to keep the numbers in the same order or can they be in a different order?
• The associative property only moves parentheses. It will not move the numbers.
For example: 2 x (3 x 5) can be changed to (2 x 3) x 5

If you want to both move the numbers and move the parentheses, then you need to apply both the commutative property and the associative property.
For example: 2 x (3 x 5)
With the commutative property, we can swap the 3 and the 5: 2 x (5 x 3)
With the associated property, we can not make this into: (2 x 5) x 3

Hope this helps.
• Can you add and multiply in the same question?
• yes as long as you use the order of operations(PEMDAS)