1. Rational Numbers & Equations
Lesson 15
Rational Numbers & Equations
Order of Operations

2. Warm-Up
102
−102
−(10)2
2 + (−8)
−2 + (−8)
−2 + 8

3. Target: Find the value of expressions using the order of operations.

4. Vocabulary
Order of Operations: Rules to follow when evaluating an expression with more than one operation.

5. Order of Operations
Find the value of expressions inside grouping symbols such as parentheses and fraction bars.
Find the value of all powers.
Multiply and divide from left to right.
Add and subtract from left to right.

6. Example 1a
Find the value of the expression. 4(−5 + 3) – 7 4(−2) – 7 −8 – 7 −15

7. Example 1b
Find the value of the expression. 27 – (1 + 3)2 ÷ 2 27 – (4)2 ÷ 2 27 – 16 ÷ 2 27 – 8 19

8. Example 2a
Find the value of the expression.

9. Example 2b
Find the value of the expression.

11. Exit Problems
Find the value of each expression.

12. Communication Prompt
Why do you think there is an order of operations in mathematics?