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### Course: Arithmetic>Unit 1

Lesson 5: Commutative property of multiplication

# Commutative property of multiplication

Sal explores what happens when we multiply numbers in different orders, for example 3x5 and 5x3.

## Want to join the conversation?

• Are there any other operations besides multiplication that are commutative?
• Addition is commutative, but subtraction and division are not.
• would it work the same way for three numbers that are being multiplied?
• Yes, it will work with three or more numbers. As long as it is all multiplication or addition
• What is the difference between Commutative law of multiplication and Commutative property of multiplication?
• Commutative law of multiplication and Commutative property of multiplication are exactly the same thing. In math, a law is the same as a property.

Have a blessed, wonderful day!
• how do we repersent the communitive property of multipication
• The commutative (moving) property of multiplication can most simply be changing places, so 3*2=2*3. We can also use it to our advantage such as 4*4*5, 16*5 is slightly harder to do than 4*5*4 = 20*4=80. 3*6*7, 18*7 is a lot harder than 3*7*6=21*6 which can be done as 20*6+1*6.
we can represent it as a*b=b*a or a*b*c = (a*c)*b.
• can it work for as many numbers as you want?
• Yes, it works for all numbers.
You can always swap the two numbers in the operation and get the same result. This is the meaning of commutativity!
Subtraction and division are not commutative.

Hope this helped!
• i burst into laughter when i heard that "meow"
• the meow was funny and I couldn't laugh but lol
• dose switching the order of numbers important