1. Order of Operations with Integers

2. Review of PEMDAS P: Parentheses or any kind of grouping symbols
E: Exponents
MD: Multiplication and Division from left to right in the problem
AS: Addition and Subtraction from left to right in the problem

3. Example #1
-9 + 2(-3)
-15
With PEMDAS, multiplication happens before addition.

4. (3+ -5)(-6 + -2) (-2)(-8) 16 Example #2 (3 + -5)(-6 – 2)
Following the order of operations, simplify what is inside each set of parentheses before you multiply.

5. Example #3 -5(-3)2
(-3)² = -3(-3)
= 9
-5(9)
-45
Simplify the exponent first, then multiply.

6. Example #4 -10(-4) – 8(-3)
40 – -24 64
Complete all multiplications, then subtract.

7. 9 + 7(-8 + 2) 9 + 7(-6) 9 + -42 -33 Example #5 9 + 7(-8 – –2)
Simplify the parentheses.
Multiply.
Add.

8. Example #6 -2(-11 – 4) ÷ 5(-3) -2(-11 + -4) ÷ 5(-3) -2(-15) ÷ 5(-3)
30÷ 5(-3)
6(-3)
-18
Be careful here!
Simplify what is in the parentheses first.
Multiply and divide from left to right.

9. Example #7 -3 [14 – 7(3)]2 -3 [14 – 21]2 -3 [14 + -21]2 -3 [-7]2
-3 [49]
-147
(-7)² = -7(-7)
= 49
Simplify what is in the parentheses. Work your way from the inside out.
Simplify the exponent.
Multiply.