1. The Order of Operations
48 ÷ 6 ● 4 – 7 + 3
48 ÷ 24 – 7 + 3
2 – 7 + 3
-5 + 3 -2
48 ÷ 6 ● 4 – 7 + 3
8 ● 4 – 7 + 3
32 – 7 + 3
32 – 10 22
Which is right? Explain your answer!
Neither one! The answer is 28!

2. What is the Order of Operations
The order in which mathematicians perform math problems.
Parenthesis – working from inward to outward
Exponents –
Multiply or Divide – Left to Right
Add or Subtract – Left to Right

3. Aunt Sally or Sally Aunt
“Old Faithful”
Please
Parenthesis
Excuse
Exponents
My Dear or Dear My
Multiply or Divide – Left to Right
Aunt Sally or Sally Aunt
Add or Subtract – Left to Right

4. “Hammering” Hank Aaron
Born in Mobile, Alabama.
He broke Babe Ruth’s homerun record and hit 755 of them. He played for 23 seasons in the MLB.

6. Real World Order of Operations
Hit
Number
Singles 44
Doubles 8
Triples
Home Runs 10
Real World Order of Operations
How many total bases did Hank Aaron have in his last season in 1976?
See if you can figure it out based on the numbers in the table.
(1B • 1) + (2B • 2) + (3B • 3) + (HR • 4)
(44 • 1) + (8 • 2) + (0 • 3) + (10 • 4)
100

7. Notebook Example 2 ● 3 - (4-2) + 32 Subtraction Addition Exponents
Multiplication
Parenthesis

8. 2 ● 3 - (4-2) + 32
Parenthesis
2 ●
Exponents
2 ●
Multiply
Add or Subtract – Left to Right
4 + 9 13

9. You Work This One! 4 ● 6 – (3 + 4) + 22 Subtraction Exponents
Multiplication
Parenthesis
Addition

10. 4 ● 6 – (3 + 4) + 22
Parenthesis
4 ●
Exponents
4 ● 6 – 7 + 4
Multiply
24 – 7 + 4
Add or Subtract – Left to Right
17 + 4 21

11. More Examples
33 ÷ 3 – 5 ● 2
Develop a plan before you start. How many steps? In what order?
11 – 5 ● 2
11 – 10 1
You try this one:
[4 -5(12) ÷ 3] ●
-106

12. NOTEBOOK EXAMPLES Work these right there in your notebook
We will check each problem as we go
They go from HARD to EASY
When you get one correct, you are DONE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

13. #6
2+3 ● [4 + 6 ● 3 - 8] ● 2
2 + 3 ●[ – 8] ● 2
2 + 3 ● [22 - 8] ● 2
2 + 3 ● 14 ● 2
● 2
2 + 84 86
Back

14. #5
3(4 – 7) + 9 ● 8 – 62
3(-3) + 9 ● 8 – 36
– 36
63 – 36 27
Back

15. #4
(5 - 1) – 7
4 –
1 + 4 – 7
5 – 7 -2
Back

16. #3
(14 - 0) ÷ 7
6 – ÷ 7
0 + 2 2
Back

17. #2
(1 + 3) ÷ (8 - 4)
4 ÷ (8 – 4)
4 ÷ 4 1
Back

18. #1
3 + 5 ● 7
3 + 35 38
Back