Order of Operations

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Order of Operations

• By Ms. Howat

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PEMDAS
Parenthesis Exponents Multiplication Division Addi
tion Subtraction

• Always perform any calculation that is inside the
  parenthesis.
• Next, look for any exponents and simplify them
  working from left to right.
• Perform all multiplication and division
  calculations working from left to right.
• Perform all addition and subtraction calculations
  working from left to right.

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Can anyone think of a acronym or another way to
remember PEMDAS?
Here is an example Please Excuse My Dear Aunt
Sally
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Here is an example
9 2 x ( 10 / 5 )
Try to complete this equation, (remember
PEMDAS) Parenthesis Exponents Multiplication
Division Addition Subtraction
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Step by Step
9 2 x ( 10 / 5 )

• To start, are there any parenthesis?
• If so, perform the calculation inside.

9 2 x ( 10 / 5 )
9 2 x 2
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Step by Step
9 2 x 2

• Next, are their any exponents?
• If so calculate them.
• Next look for any Multiplication or Division
  calculations.
• If so, perform those calculations.

9 2 x 2
9 4
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Step by Step
9 4

• Lastly, look for any addition or subtraction.
• If there is, perform those calculations.

9 4
13
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Keep in mind

• Make sure, when you are completing the
  equations to go slow.
• Double check your work, before you move on.
• Make sure when you are working with the
  multiplication and division and addition and
  subtraction that you are working from left to
  right.

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Lets try another example
( 24 4 ) / ( 3 2 )
PEMDAS
( 24 4 ) / ( 3 2 )
First work on what's inside the parenthesis,
working from left to right
20 / ( 3 2 )
Work on what's inside the parenthesis, working
from left to right
20 / 5
Lastly, work on any multiplication and division
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13 x 5 (4 / 4) 3 x 5 (77 / 11)
Can any of you tell me how to complete this
equation?
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13 x 5 (4 / 4) 3 x 5 (77 / 11)
13 x 5 1 3 x 5 7
Parenthesis Exponents Multiplication Division
Addition Subtraction
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13 x 5 1 3 x 5 7
13 x 5 1 3 x 5 7
65 1 15 7
Parenthesis Exponents Multiplication Division
Addition Subtraction
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65 1 15 7
65 1 15 7
66 22
Parenthesis Exponents Multiplication Division
Addition Subtraction
14
66 22
44
Parenthesis Exponents Multiplication Division
Addition Subtraction
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Does anyone think they can create a problem for
the class?
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Please copy these questions into your
notebook, and complete them for homework tonight.

• (14 / 7 1) x 11

2. (22 6) 15 x (2 x 1)
4. 10 12 x 4 6 (100 / 50)
3. 36 / 6 (7 x 8) - 14
5. 42 6 x (9 18) 62 42