1. Get papers, sit down, and quietly work on bellringer

2. Go over homework

3. Ch. 1-9 Order of Operations & Distributive Property

4. Properties of Numbers Commutative of Addition & Multiplication
Associative of Addition & Multiplication
Identity of Addition & Multiplication
Zero of Multiplication
Distributive

6. Here are two families of commuters.
Commuter B
Commuter A
Commuter A & Commuter B changed lanes.
A + B = B + A
A x B = B x A
Remember… commute means to change.
Commuter A
Commuter B

7. The Associative Property
The parentheses identify which two associates talked first.
(A + B) + C = A + (B + C)
(A x B) x C = A x (B x C) B B A C
THEN A
THEN C

8. Identity Property of Addition
+ 0 =
A + 0 = A

9. Identity Property of Multiplication
x 1 =
A x 1 = A

10. Zero Property of Multiplication
x 0 = 0
A x 0 = 0

11. Properties of Multiplication and Addition
Commutative of Addition & Multiplication
Associative of Addition & Multiplication
Identity of Addition & Multiplication
Zero of Multiplication
Distributive

12. Distributive Property
and + 5 5 = +
Think of a teacher distributing something to every student in the class.

13. The Distributive Property
PROBLEM: 4(x + 3)
Four is multiplying the quantity “x + 3”
That means four will multiply both the x and the 3!
4 times 3
4 times x
 Multiply 4 times x
4(x + 3)
Answer:
 Copy the operation sign 4x + 12
 Multiply 4 times 3 + 5 =

14. Distributive Property
You take the number on the outside of the parentheses and give it to everything on the inside of parentheses by way of multiplication.
3(a +b) = 3a + 3b
ac + bc = (a + b)c
14 = 2(7)

15. Distributive Property
(4 - 3)2 = 8 - 6
Distributive Property
4(x + 3) = 4x + 12
The Distributive Property of Multiplication +

16. Distributive Property Distributive Property
3(5) = 15
Distributive Property
ac + bc = (a + b)c
Distributive Property

17. Order of Operations: Basically "4" Rules (Do the rules in order):
RULE 1 - Do all operations within grouping symbols (parentheses, brackets, vinculum (fraction bar))
RULE 2 - Evaluate the number value for any exponents
RULE 3 - Multiply or divide in order from left to right
RULE 4 - Add or subtract in order from left to right
Example 3: Use the order of operations to simplify each expression below.
a.) (4 + 4) – * 3 b.) 2(2) – 4 + 8/2
(8) – = = 15
(8) – * 3 =
4 – 4 + 8/2 =
4 – =
0 + 4 = 4

18. c.) 4(2) / = d.) 18 – 3(2) + (4 – 2) =
8 / – 3 =
4 + 5 – 3 =
9 – 3 = 6
18 – 3(2) + (2) =
18 – 6 + (2) =
12+ 2 = 14

19. Example: 
When there are two or more parenthesis, or grouping symbols, perform the inner most grouping symbol first.
2 + 3[ 5 + (4 - 1)2]  2 + 3[ 5 + (3)2]    inner most parentheses are done first 2 + 3[ 5 + 9]   then work your way out 2 + 3[ 14]   44
Order of Operations - click on Explore it & choose levels 3 and higher

20. Homework
Pg 50 #8-24 even
(show your work, underline what you’re doing next and drop problem down)
#16 is a word problem – 2 pts for answer
Extra credit 26 & 28