1. Properties of Addition and Multiplication
Page 66-74

2. Commutative Property
Commutative Property of Addition--changing the order in which you add does not change the sum.
So,
More Examples:

3. Commutative Property
Commutative Property of Multiplication--changing the order in which you multiply numbers doesn’t change the product.
So,
More Examples:

4. Associative Property
Associative Property of Addition--changing the way the numbers are grouped does not change the sum.
Add parenthesis to show Associative Property
So,

5. Associative Property
Associative Property of Multiplication--changing the way the numbers are grouped does not change the product.
Add parenthesis to show
Associative Property

6. Identity Property
Identity Property of Addition -- if you add zero to a number, you get the same number!
0 is called the identity of addition!!

7. Identity Property
Identity Property of Multiplication -- if you multiply a number by 1, you get the same number!
1 is called the identity of multiplication!!

8. Zero Property (of Multiplication)
Any number multiplied by 0 equals 0!

9. Inverse Property
Inverse Property of Multiplication--a number multiplied by its reciprocal equals 1.

10. Inverse Property
Additive Inverse Property -- a number plus its opposite equals 0.

11. Distributive Property
A number outside parenthesis gets multiplied by every number inside parenthesis.

12. Identify the Property Commutative Prop. Of Multiplication
Identity Prop. Of Addition
Zero Property
Associative Prop. Of Addition
Identity Prop. Of Multiplication

13. More Practice (page 69)

14. Name the property 1) 5a + (6 + 2a) = 5a + (2a + 6)
commutative (switching order)
2) 5a + (2a + 6) = (5a + 2a) + 6
associative (switching groups)
3) 2(3 + a) = 6 + 2a
distributive

15. Which property would justify rewriting the following expression without parentheses? 3(2x + 5y)
Associative property of multiplication
Distributive property
Addition property of zero
Commutative property of multiplication

16. Which property would justify the following statement? 8x + 4 = 4 + 8x
Associative property of addition
Distributive property
Addition property of zero
Commutative property of addition

17. Which property would justify the following statement
Associative property of addition
Distributive property
Addition property of zero
Commutative property of addition

18. Which property would justify the following statement
Associative property of addition
Distributive property
Addition property of zero
Commutative property of addition

19. Use the Distributive Property to remove the parenthesis
5(x + 1) =
3(a + b + c) =
-2(7 – k) =
-4(m + n – 1) =

20. Distributive Property (page 74-75)