ORDER OF OPERATIONS

1
ORDER OF OPERATIONS

• AF 1.2
• Use the correct order of operations to evaluate
  algebraic expressions such as 3(2x 5)2.

2
Vocabulary

• Expression- A mathematical phrase that contains
  operations, numbers, and/or variables
• It has NO equal sign. Example 8x 4
• Variable- A letter that represents a value that
  can change or vary Example 8x 4
• Numerical Expression- An expression that does not
  contain variables Example 3 2
• Algebraic Expression- An expression that contains
  one or more variables. Example 2x 5y
• Evaluate- To find the value of a numerical or
  algebraic expression.

3
PEMDAS

• Remember the order by the phrase
• Please
• Excuse
• My Dear
• Aunt Sally

4
The P

• The P stands for items in parenthesis
• Do all items in the parenthesis first

(2 3)
5
The E

• The E stands for Exponents
• Do anything that has a exponent (power)

82
6
The MD

• Represents Multiply and Divide
• Do which ever one of these comes first in the
  problem

Work these two operations from left to right
7
The AS

• Represents Add and Subtract
• Do which ever one of these comes first
• Work left to right

8 7 - 5 2
8
SUMMARY NOTES

• Order of Operations
• PEMDAS
• Step 1- Please- Parentheses First
• Step 2- Excuse- Exponents
• Step 3- My Dear- Multiplication and Division from
  left to right
• Step 4- Aunt Sally- Addition and Subtraction from
  left to right

9

• 1) 5 (12 3)
• 5 9
• 14

2) 8 3 2 7 8 - 6 7 2
7 9
3) 39 (9 4) 39 13 3
10

• 10 8 2 6
• 10 4 - 6
• 14 - 6
• 8

• 15 103
• 15 1,000
• 15,000

• 36 (1 2)2
• 36 32
• 36 9
• 4

7) 3 104 3 10,000 30,000
11

• 14 3(7 -2) 2 5
• 14 3 5 - 2 5
• 14 15 - 2 5
• 14 15 10
• 29 10
• 19

• (5 1)3 4
• 43 4
• 64 4
• 16