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Order of Operations

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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 expression. – PowerPoint PPT presentation

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Title: Order of Operations


1
Order of Operations
  • (P.E.M.D.A.S)

2
P.E.M.D.A.S.
  • Parenthesis ()
  • Exponent 22
  • Multiplication 6x8
  • Division 93
  • Addition 75
  • Subtraction 10-4

3
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
    expression.
  • We need P.E.M.D.A.S because it helps us solve
    expressions properly and always the same way.
  • Remember Calculate an expression in the wrong
    order and you will get the wrong answer.

4
arenthesis ( )
  • Used to group expressions
  • Parenthesis can also be shown as brackets.
  • or .
  • An example of an expression with parenthesis is
  • 6 (53)
  • Choose the proper way to simplify the expression
  • 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 simplify the expression
  • 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 expression using exponents is

2
3
2
6
ultiplication x
  • Use the table on the right to help you.
  • Multiplication is just a faster way to add.
  • Choose the proper way to simplify the expression
  • 2 5 x 3
  • A. 5 x 3 15
  • 15 2 17
  • B. 2 5 7
  • 7 x 3 21
  • Answer

7
ivision
  • Choose the correct way to simplify the
    expression
  • 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.
  • Remember to check your division with
    multiplication.
  • An example of an expression with division in it
    is

8
ddition
  • It is tempting to want to solve addition first in
    an expression.
  • Remember only solve addition first if it is in
    parenthesis.
  • An example of an expression with addition in it
    is
  • Choose the proper way to simplify the equation
  • (113 19) 81
  • A. 113 19 132
  • 132 81 213
  • B. 19 81 100
  • 100 113 213
  • Answer A or B

9
ubtraction -
  • 74 (12 - 4)
  • The proper way to simplify this expression is
  • A. 74 12 62
  • 62 4 58
  • B. 12 4 8
  • 74 8 66
  • Answer
  • Subtraction is when you take away an equal or
    smaller amount from a number.
  • You can check your subtraction with addition.
  • An example of an expression with subtraction in
    it is

10
Review
The Order of Operations is P.E.M.D.A.S.
  • arenthesis
  • xponents
  • ultiplication
  • ivision
  • ddition
  • ubtraction

11
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

15
Practice
  • (182)5
  • 205

Answer 4
(3x62)5
16
Tips to Remember
An easy way to remember PEMDAS is
  • lease xcuse
  • y
  • ear unt
  • ally
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