Transparency 3 Click the mouse button or press the Space Bar to display the answers.
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Transcript of Transparency 3 Click the mouse button or press the Space Bar to display the answers.
Click the mouse button or press the Click the mouse button or press the Space Bar to display the answers.Space Bar to display the answers.
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Vocabulary
Numerical expression
An expression that contains numbers and at least one operation
3 + 4
7 – 6
6 + 4 - 3
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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)
4. Add and subtract in order from left to right.
+ -
Please Excuse My Dear Aunt Sally
P
E
MD
AS
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
Answer: 7
Write problem
Evaluate
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27 - (18 + 2)
P E MD AS
Work inside parenthesis first
Add 18 + 2
Bring down 27 -
27 - 20
Subtract 20 from 27
7
Follow Order of Operations rules
Evaluate
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Write expression15 + 5 3 - 2
P E MD AS15 + 15 - 2Follow Order of Operations Rules
Multiply before adding and subtracting
Multiply 5 3
Bring down - 2
Bring down 15 +
Answer: 28
Evaluate
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P E MD AS15 + 15 - 2
30 - 2
28
Follow rules of Order of Operations
Add and subtract from left to right
Add 15 + 15
Bring down - 2
Subtract 2 from 30
Answer: 120,000
Evaluate
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Write expression12 104
P E MD AS12 10,000
120,000
Follow rules of Order of Operations
Do exponents first
Bring down 12
Find 104
Multiply 12 10,000
Evaluate
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Write expression28 (3 - 1)2
P E MD AS28 ( 2 )2 Follow rules of Order of Operations
Work inside parenthesis first
Bring down 28 (
Subtract 3 - 1
Bring down )2
Answer: 7
Evaluate
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P E MD AS28 ( 2 )2
28 4
7
Follow Order of Operations Rules
Do exponents
Bring down 28 (
Since 2 is in parenthesis, find the square of 2
Divide 28 4
Evaluate .
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Write expression32 - 5 ( 4 + 2 ) + 8 2
P E MD AS32 - 5 ( 6 ) + 8 2
Follow Order of Operations Rules
Work inside the parenthesis first
Bring down 32 - 5 (
Add 4 + 2
Bring down ) + 8 2
Evaluate .
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P E MD AS32 - 5 ( 6 ) + 8 2
32 - 30 + 16
Follow Order of Operations Rules
Multiply from left to right
Bring down 32 -
Multiply 5(6)
Bring down +
Multiply 8 2
Answer: 18
Evaluate .
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P E MD AS32 - 30 + 16
2 + 16
18
Follow Order of Operations Rules
Add and subtract from left to right
Subtract 32 - 30
Bring down + 16
Add 2 + 16
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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number of gamestations
cost of gamestation
number ofcontrollers
number of
gamescost
of gamecost of
controller
2 $180 5 10 $35.99$24.95
Multiply from left to right.
Add.
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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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