1. Think about this…
What would happen if there were no rules for driving?
What would happen if there were no rules for solving math problems?

2. What’s wrong? Look at both of the problems.
Notice the difference in the way they are solved.
Which one do you think is correct?

3. 43
Order of Operations 
( ) + - X

4. The Order of Operations tells us how to do a math problem with more than one operation, in the correct order.

5. Please Excuse My Dear Aunt Sally
This will help you to remember the order of operations.

6. Please Excuse My Dear Aunt Sally
Parentheses ( ) E
Exponents 43 M D
Multiply x
Divide  A S
Add +
Subtract -

7. Please Excuse My Dear Aunt Sally
Parentheses ( )
Always do parentheses 1st.

8. Please Excuse My Dear Aunt Sally
Exponents 43
Always do Exponents 2nd.

9. Please Excuse My Dear Aunt Sally
Multiply x
Divide 
Do multiplication and division 3rd, from left to right.

10. Please Excuse My Dear Aunt Sally
Add +
Subtract -
Do addition and subtraction 4th, from left to right.

11. Let’s Try Some  Problems!

12. PEMDAS
3+23- (9+1)
3+8-10
11-10 1

13. PEMDAS
3 (9+1) + 62
3(10)+62
3(10)+36
30+36 66

14. PEMDAS
4+5 x (6-2)
4+5 x 4
4+20 24

15. PEMDAS
4+ 10 x
4+10 x 8 -16
84-16 68

16. PEMDAS
 10
21+10010 31

17. PEMDAS
x 5
10+49–2 x 5 49

18. Practice Problems 3 + 5 x 7 (1 + 3)  (8 – 4) 6 – 6 + (7 – 0) – 7
4 – 3 + (5 – 1) – 3
3 + 9  8 – 62
24 ÷ 6  2  2 ÷ 4
2 + 3  [4 + (6  3 – 8)]  2

19. Answers to Practice Problems
x 7
2. (1 + 3)  (8 – 4)
3 + 5 
(1 + 3)  (8 – 4) 4  (8 – 4) 4  4 16

20. Answers to Practice Problems
– 6 + (7 – 0) – 7
– 3 + (5 – 1) – 3
6 – 6 + (7 – 0) – 7 6 – – – 7 7 – 7 0
4 – 3 + (5 – 1) – 3 4 – – – 3 5 – 3 2

21. Answers to Practice Problems
 8 – 62
÷ 6  2  2 ÷ 4
3 + 9  8 – – – 62 13
24 ÷ 6  2  2 ÷ 4 4  2  2 ÷ 4 8  2 ÷ 4 16 ÷ 4 4

22. Answers to Practice Problems
2 + 3  [4 + (6  3 – 8)]  2
2 + 3  [4 + (18 – 8)]  2
2 + 3  [4 + 10]  2
2 + 3  14  2
 2
2 + 84 86

23. Websites http://www.teach-nology.com/worksheets/math/order/

24. Example #1 14 ÷ 7 • 2 - 3
= 2 • (Divide l/r.)
= (Multiply.)
= 1 (Subtract.)

25. Example #2 3(3 + 7) 2 ÷ 5 = 3(10) 2 ÷ 5 (parentheses)
= 3(100) ÷ 5 (exponents)
= 300 ÷ 5 (multiplication)
= 60 (division)

26. Example # • (6 + 1) • 4
= • (7) • 4 (parentheses)
= • (7) • 4 (exponents)
= (7) • (Multiply l/r.)
= (Multiply l/r.)
= (Subtract l/r.)
= (Add l/r.)
= (Add.)

27. Which of the following represents 112 + 18 - 33 · 5 in simplified form?
-3,236 4
107
16,996
Answer Now

28. Simplify (10 - 3) 2 -7 12 98
Answer Now

29. Simplify 24 – 6 · 4 ÷ 2 72 36 12
Answer Now