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ORDER OF OPERATIONS

           By Vanessa Dalton
                OCS Algebra I
What is Order of Operations?
• A standard way to simplify mathematical
  expressions and equations.


What is the purpose?
• To avoid confusion and give consistency in
  simplifying expressions and equations.
Example: 5 + 3 * 4 = ?
Does 5 + 3 * 4 = 8 * 4 = 32?
 or 5 + 3 * 4 = 5 + 12 = 17? √
    Correct Answer: 17
The Rules …
1. Simplify within Grouping Symbols
   ex. Parenthesis ( ), { }, [ ], | |
2. Simplify Exponents
     Raise to Powers
3. Complete Multiplication and
   Division from Left to Right
4. Complete Addition and
   Subtraction from Left to Right
P

How Can I Remember it?
•   Parentheses             Please
•   Exponents               Excuse
•   Multiplication         *My
•   Division                Dear
•   Addition               *Aunt
•   Subtraction             Sally
•   (from left to right)   *(from Little Rock)
PEMDAS
    Image by natreview.com



Please Excuse My Dear Aunt Sally
EXAMPLE:

Parenthesis       25 ÷ 5(4 – 2) + 32 * 2
Exponent          25 ÷ 5 ( 2) + 32 * 2
Division (left)   25 ÷ 5 ( 2) + 9 * 2
Multiplication       5 *( 2) + 9 * 2
Multiplication         10 + 18
Addition                   28 final answer

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Order of Operations

  • 1. ORDER OF OPERATIONS By Vanessa Dalton OCS Algebra I
  • 2. What is Order of Operations? • A standard way to simplify mathematical expressions and equations. What is the purpose? • To avoid confusion and give consistency in simplifying expressions and equations.
  • 3. Example: 5 + 3 * 4 = ? Does 5 + 3 * 4 = 8 * 4 = 32? or 5 + 3 * 4 = 5 + 12 = 17? √ Correct Answer: 17
  • 4. The Rules … 1. Simplify within Grouping Symbols ex. Parenthesis ( ), { }, [ ], | | 2. Simplify Exponents Raise to Powers 3. Complete Multiplication and Division from Left to Right 4. Complete Addition and Subtraction from Left to Right
  • 5. P How Can I Remember it? • Parentheses Please • Exponents Excuse • Multiplication *My • Division Dear • Addition *Aunt • Subtraction Sally • (from left to right) *(from Little Rock)
  • 6. PEMDAS Image by natreview.com Please Excuse My Dear Aunt Sally
  • 7. EXAMPLE: Parenthesis 25 ÷ 5(4 – 2) + 32 * 2 Exponent 25 ÷ 5 ( 2) + 32 * 2 Division (left) 25 ÷ 5 ( 2) + 9 * 2 Multiplication 5 *( 2) + 9 * 2 Multiplication 10 + 18 Addition 28 final answer

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