1. Algebra 1
Section 1.8

2. Order of Operations
It is very important that mathematicians agree on the order with which numeric expressions are calculated!

3. Order of Operations Evaluate within innermost grouping symbols first.
Evaluate all exponential expressions.

4. Order of Operations
3. Perform all multiplication and division from left to right
4. Perform all addition and subtraction from left to right

5. Example 1 2 + 32 – 4 ÷ 2 • 3 2 + 9 – 4 ÷ 2 • 3 2 + 9 – 2 • 3 2 + 9 – 65

6. Example 1 b. 23 – 12 + 5 • 4 – 32 + 9 ÷ 3 23 – 12 + 5 • 4 – 32 + 9 ÷ 3
8 – • 4 – ÷ 3
8 – – 9 + 3 21

7. Grouping Symbols These indicate which operations to perform first
Parentheses ( )
Brackets [ ]
Braces { }

8. Grouping Symbols These indicate which operations to perform first
Absolute value symbols, the fraction bar, and the radical sign are also used as grouping symbols

9. Grouping Symbols These indicate which operations to perform first
If grouping symbols are within other grouping symbols, the operations inside the innermost grouping symbols must be done first

10. Example 2
2 + 3(5 + 7) ÷ 2
2 + 3(12) ÷ 2
÷ 2
2 + 18 20

11. Example 2 b. 2(-3 + 7) – (7 – 5) 5 – 3(1 – 4) 2(4) – 2 5 – 3(-3) 8 – 2
5 + 9 6 14 = 3 7 =

12. Example 2 c. 9 – 3|2 + 7 • 23(3 – 5)| – 4 9 – 3|2 + 7 • 23(-2)| – 4
9 – 3|2 + 7 • 8(-2)| – 4
9 – 3|2 – 112| – 4
9 – 3|-110| – 4
9 – 3(110) – 4

13. Example 2
9 – 3(110) – 4
9 – 330 – 4
-325

14. Homework: pp