Properties of Multiplication and Addition

The Properties of Multiplication

Poll

How much do you know about the properties of multiplication?

• I completely understand all of the properties of multiplication.

• I sort of understand the properties of multiplication.

• I'm not sure what the properties of multiplication are.

The Commutative Property of Multiplication

Changing the order of the factors does not change the product.

a×b=b×a

​Example:

• 3×2=2×3

  • 6=6

Open Ended

Type an example of the commutative property of multiplication.

​The Associative Property of Multiplication

The way in which factors are grouped in a multiplication problem does not change the product.

a×(b×c)=(a×b)×c

​Example:

• 3×(2×4)=(3×2)×4

  • 3×(8)=(6)×4

    • 24=24

Multiple Choice

Which is an example of the associative property of multiplication?

• 2×4=4×2

• 3×(2×4)=(3×2)×4

• 3(7+2)=3(7)+3(2)

• (6×7)×2=6×(8×4)

​Distributive Property of Multiplication

a(b+c)=ab+ac

​Whether the numbers in parentheses are added before or after multiplication, the results are the same.

​Example:

• 2(3+4)=2(3)+2(4)

  • 2(7)=6+8

    • 14=14

Fill in the Blanks

Which property does this problem follow?

3(2+4)=3(2)+3(4)

Poll

Do you feel more confident about the properties of multiplication after this lesson?

• I feel much more confident.

• I already knew all of this.

• I'm still unsure about the properties of multiplication.