Order of Operations

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Order of Operations

• (P.E.M.D.A.S)

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P.E.M.D.A.S.

• Parenthesis ()
• Exponent 22
• Multiplication 6x8
• Division 93
• Addition 75
• Subtraction 10-4

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What is P.E.M.D.A.S and why do we need it?

• P.E.M.D.A.S. is also know as the Order of
  Operations.
• Order of Operations is the order in which you
  perform mathematical operations to solve an
  equation.
• We need P.E.M.D.A.S because it helps us solve
  equations properly and always the same way.
• Remember Calculate an equation in the wrong
  order and you will get the wrong answer.

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arenthesis ( )

• Used to group equations.
• Parenthesis can also be shown as brackets.
• or .
• An example of an equation with parenthesis is

• 6 (53)
• Choose the proper way to solve the equation
• A. 6x5 30
• 30 3 33
• B. 53 8
• 8 x 6 48
• Answer

5
xponents 22
2

• 5 x 2
• Choose the proper way to solve the equation
• A. 2 4
• 4x5 20
• B. 5 x 2 10
• 10 100
• Answer

• Used to multiply the same number repeatedly.
• Exponent tells how many times a base number is
  multiplied to itself.
• 5 5x5x5 125
• An example of an equation using exponents is

2
3
2
6
ultiplication x

• Use the table on the right to help you.
• Choose the proper way to solve the equation
• 2 5 x 3
• A. 5 x 3 15
• 15 2 17
• B. 2 5 7
• 7 x 3 21
• Answer

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ivision

• Choose the correct way to solve the equation
• 12 4 2
• A. 4 2 6
• 12 6 2
• B. 12 4 3
• 3 2 5
• Answer

• Division is splitting a larger number into
  smaller parts.
• An example of an equation with division in it is

8
ddition

• Choose the proper way to solve the equation
• (113 19) 81 ?
• A. 113 19 132
• 132 81 213
• B. 19 81 100
• 100 113 213
• Answer A or B

• It is tempting to want to solve addition first in
  an equation.
• Remember only solve addition first if it is in
  parenthesis.
• An example of an equation with addition in it is

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ubtraction -.

• 74 (12 - 4)
• The proper way to solve this equation is
• A. 74 12 62
• 62 4 58
• B. 12 4 8
• 74 8 66
• Answer

• An example of an equation with subtraction in it
  is

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Review
The Order of Operations is P.E.M.D.A.S.

• arenthesis
• xponents
• ultiplication
• ivision
• ddition
• ubtraction

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Practice
6x423?

• 2423

• 123

Answer 15
12
Practice

• 15(6x2-9)?

• 15(12-9)
• 15(3)
• Answer 5

13
Practice
(325)7?

• (95)7

• 147

Answer 2
14
Practice

• 7(6x523)?

• 7(6x253)
• 7(1503)
• 7(153)
• Answer 160

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Practice

• (182)5
• 205

Answer 4
(3x62)5?
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Tips to Remember
An easy way to remember PEMDAS is

• lease xcuse
• y
• ear unt
• ally