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Order of Operations
1-2
Objectives
• Evaluate numerical expressions
by using the order of operations
• Evaluate algebraic expressions
by using the order of
orperations
Key Concepts
• Evaluate expressions inside
•
•
•
•
grouping symbols
Evaluate all powers/exponents
Do all multiplication and/or
division from left to right
Do all additions and/or
subtractions from left to right.
PEMDAS
Examples
• Example 1
6 + 4 -2* 3
6+4–6
Multiply first
10 - 6
Addition
4
Subtraction
• Example 2
48  23 * 3 + 5
48  8 * 3 + 5
Clear Exponents
6 * 3+5
Divide
18 + 5
Multiply
23
Add
Grouping Symbols
Example 1
• (8 – 3) * 3(3 + 2)
•
5
* 3( 5)
5
*
75
15
Clear grouping symbols
Multiply
Example 2
• Clear innermost grouping symbols
first!
2 5  (30  6)
2 5  (5)
2
2
2 5  25
2 30
60
Fraction Bar
• Evaluate the numerators
• Evaluate the denominators
• Simplify
Example 1
• 6 + 42
32 * 4
6 + 16
9*4
22
36
11
18
Evaluate numerator
Evaluate denominator
Simplify
Evaluate an Algebraic
Expression
• Evaluate 2(x2-y) + z2 if
x = 4, y = 3, and z = 2
• Substitute values for variables
2( 42 – 3) + 22
2( 16 -3) + 4
Clear exponents
2( 13) + 4
26 + 4
30
Clear parenthesis
Multiply
Add
Remember
•
•
•
•
Clear exponents
Clear inner most parenthesis
Multiply or divide (in order)
Add or subtract (in order)
Extra Practice
• http://www.phschool.com/atsch
ool/academy123/english/academ
y123_content/wl-book-demo/ph142s.html
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