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Example 3-1b
Objective
Evaluate expressions using the order of
operations
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Example 3-1b
Vocabulary
Numerical expression
An expression that contains numbers and at least
one operation 3 4 7 6 6 4 - 3
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Example 3-1b
Vocabulary
Order of Operations
A set of rules to evaluate expressions
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Example 3-1b
Order of Operations Rules

• 1. Do all operations within grouping symbols
  first.
• ( )
• 2. Evaluate all powers before other operations.
• exponents 32 square roots ? 16
• 3. Multiply and divide in order from left to
  right.
• ? ? x 3(4)
• Add and subtract in order from left to right.
• -

P
E
MD
AS
Please Excuse My Dear Aunt Sally
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Lesson 3 Contents
Example 1 Evaluate Expressions Example 2 Evaluate
Expressions Example 3 Evaluate Expressions with
Powers Example 4 Evaluate Expressions with
Powers Example 5 Evaluate an Expression
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Example 3-1a
Write problem
27 - (18 2)
Follow Order of Operations rules
P E MD AS
27 - 20
Work inside parenthesis first
7
Bring down 27 -
Add 18 2
Subtract 20 from 27
Answer 7
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Example 3-1b
Answer 16
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Example 3-2a
Write expression
15 5 ? 3 - 2
Follow Order of Operations Rules
P E MD AS
15 15 - 2
Multiply before adding and subtracting
Bring down 15
Multiply 5 ? 3
Bring down - 2
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Example 3-2a
Follow rules of Order of Operations
15 15 - 2
P E MD AS
Add and subtract from left to right
30 - 2
Add 15 15
28
Bring down - 2
Subtract 2 from 30
Answer 28
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Example 3-2b
Answer 15
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Example 3-3a
Write expression
12 ? 104
Follow rules of Order of Operations
P E MD AS
12 ? 10,000
Do exponents first
120,000
Bring down 12 ?
Find 104
Multiply 12 ? 10,000
Answer 120,000
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Example 3-3b
Answer 9,000
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Example 3-4a
Write expression
28 ? (3 - 1)2
Follow rules of Order of Operations
28 ? ( 2 )2
P E MD AS
Work inside parenthesis first
Bring down 28 ? (
Subtract 3 - 1
Bring down )2
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Example 3-4a
28 ? ( 2 )2
Follow Order of Operations Rules
P E MD AS
28 ? 4
Do exponents
7
Bring down 28 ? (
Since 2 is in parenthesis, find the square of 2
Answer 7
Divide 28 ? 4
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Example 3-4b
Answer 4
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Example 3-5a
Write expression
32 - 5 ( 4 2 ) 8 ? 2
Follow Order of Operations Rules
P E MD AS
32 - 5 ( 6 ) 8 ? 2
Work inside the parenthesis first
Bring down 32 - 5 (
Add 4 2
Bring down ) 8 ? 2
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Example 3-5a
Follow Order of Operations Rules
P E MD AS
32 - 5 ( 6 ) 8 ? 2
Multiply from left to right
32 - 30 16
Bring down 32 -
Multiply 5(6)
Bring down
Multiply 8 ? 2
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Example 3-5a
Follow Order of Operations Rules
32 - 30 16
P E MD AS
2 16
Add and subtract from left to right
Subtract 32 - 30
18
Bring down 16
Add 2 16
Answer 18
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Example 3-5b
Answer 9
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End of Lesson 3
Assignment
Lesson 13 Order of Operations 15 - 38 All
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Example 3-6a
Use the table shown below. Taylor is buying two
video game stations, five extra controllers, and
ten games. What is the total cost?
Item Quantity Unit Cost
game station 2 180.00
controller 5 24.95
game 10 35.99
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Example 3-6a
Multiply from left to right.
Add.
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Example 3-6a
Check Check the reasonableness of the answer by
estimating. The cost is about (2 200) (5
25) (10 40) 400 125 400, or about
925. The solution is reasonable.
Answer So, the total cost is 844.65.
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Example 3-6b
Use the table shown below. Suzanne is buying a
video game station, four extra controllers, and
six games. What is the total cost?
Item Quantity Unit Cost
game station 1 180.00
controller 4 24.95
game 6 35.99
Answer 495.74
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