1. Charades

2. Associative Property
The word “associative comes form “associate” or “group”.
The way in which numbers are grouped when added or multiplied does not change the sum or product.
Examples: (3+4) + 5 = 3 + (4+5)
(2x3) x 4 = 2 x (3x4)
* The numbers never change place

4. Practice -5 + (-3 + -4) = 8 + (-2 + 5)
Rewrite the following problem using the associative property:
-5 + ( ) =
8 + (-2 + 5)

5. Commutative Property
The word “commutative comes from “commute” or “move around”.
The order in which numbers are added or multiplied does not change the sum or product.
Examples: = 3 + 4
5 x 4 = 4 x 5

7. Practice -5 + (-3 + -4) = 8 + (-2 + 5)
Rewrite the following problem using the Commutative property:
-5 + ( ) =
8 + (-2 + 5)

8. Identity
The numbers 0 and 1 are called the identity elements for addition and multiplication.
The word identity comes from the Latin word idem, which means the same.

9. Additive Identity Example: 5 + 0 = 5 a + 0 = a
The sum of any number and 0 is the number.
Example: = 5
a + 0 = a

10. Multiplicative Identity
The product of any number and 1 is the number.
Examples: 7 x 1 = 7
1 x n = n

11. Multiplication Property of Zero
The product of any number and 0 is 0.
Examples:
3.784 x 0 = 0
a x 0 = 0 and 0 x a = 0

12. Error Analysis 2 + ( 6 + 7) = (6 + 7) + 2
Describe the Error: Why is this not Associative
2 + ( 6 + 7) = (6 + 7) + 2

13. Error Analysis 3 + ( 5 + 1) = (3 + 5) + 1
Describe the Error: Why is this not commutative
3 + ( 5 + 1) = (3 + 5) + 1

14. Identify 7 + ( 5 + 4) = (4 + 5) + 7 86(12)(0)
2 + (3 + 1) = 3 + (1 + 2)

15. Why you are learning this
½ * 8/7 * 2/1 =
By using the commutative property you can multiply ½ * 2/1 1st and that will give you 1 and multiply 1*8/7 = 8/7
When you have more than one # to multiple it allows you to choose which number to use 1st.