Objectives

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(No Transcript)
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Objectives

• Learn to use order of operations to evaluate
  algebraic expressions

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P E M D A S

• P - Parenthesis ( ), , (Grouping
  Symbols). Start from the inside and work
  outward
• E - Exponents x2
• M - Multiply ( )( ), or
• -- NOT --
• D - Divide
• A - Add
• S - Subtract

These operators have equal priority, perform
which ever occurs first in an expression
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Examples

• 42 3 32 (12 8) 3
• 42 3 9 4 3
• 14 36 3
• 50 3
• 53

First, evaluate the grouping symbols and then the
exponents.
Next, perform the multiplication and division
from left to right.
Then, perform the remaining addition and
subtraction from left to right.
Last, give the answer!
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Examples

• 23 (45 15)3 92
• 23 (3)3 92
• 23 27 92
• 23 32
• 23 9
• 9

First, evaluate the innermost pair of grouping
symbols
Next, evaluate the next pair of grouping symbols.
Remember, exponents before division!
After the grouping symbols have been finished,
continue according to the order of operations . .
. Exponents before subtraction.
Last, give the answer!
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Examples

• 8 (84 12) 42 7 3
• 8 7 42 7 3
• 8 32 7 3
• 8 9 7 3
• 10 3
• 13

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Using a Calculator

• 16 4 2 5
• 4 6 2 1

1
6
4

2

5


30
Wrong!
1
6
4

2

5


(
)
6
4

(
6

2
)

1

6
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Real-World

• To determine the class average of the following
  grades
• 87, 92, 85, and 81
• Average sum of all grades divided by the number
  of grades
• (87 92 85 81) 4
• What is the tax on two sweaters when tax is
  7.25, sweater 1 is 19.95 and sweater 2 is
  24.99?
• (19.95 24.99) (0.0725) 3.2582
  3.26

86.25