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Order of Operations Using Integers

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... (-4)2 - 3(4)2 16 - 3(16) 16 - 48 -32 (2 -2)2 - 3 42 Evaluating Algebraic Expressions 16 + (-48) x2 - 2y2 + y 72 - 2(-3)2 + -3 49 - 2(9) + -3 ... – PowerPoint PPT presentation

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Title: Order of Operations Using Integers


1
Order of Operations Using Integers
2
  • Operators Terms
  • 12 -5 -3 -6

Terms
Operators
3
What do we do first????
-5 7 10
  • -5 7 10
  • 2 10
  • 20
  • -5 7 10
  • -5 70
  • 65

It Matters!!!!
4
The Order of Operations
All of Algebra is Based on
  • 1. Parenthesis
  • 2. Exponents
  • 3. Multiplication Division (left to right)
  • 4. Addition Subtraction (left to right)
  • 5. Simplify any Fraction

5
What do we do first????
5 7 10
  • 5 7 10
  • 12 10
  • 120
  • 5 7 10
  • 5 70
  • 75

5 7 10 5 70 75
6
The Order of Operations
  • 1. Parenthesis
  • 2. Exponents
  • 3. Multiplication Division (left to right)
  • 4. Addition Subtraction (left to right)
  • 5. Simplify any Fraction

7
  • Example 1

-2
8
Example 2
  • 12 -5 -3 -6
  • -60 18
  • -42

9
Evaluating Algebraic Expressions
(2a)2 - 3b2
  • Evaluate when a -2, b 4

(2-2)2 - 342
(-4)2 - 3(4)2
16 - 3(16)
16 - 48
16 (-48)
-32
10
More Placeholders
x2 - 2y2 y
  • Evaluate when x7, y-3

72 - 2(-3)2 -3
49 - 2(9) -3
49 - 18 -3
31 -3
28
11
Variables can Vary
x2 - 2y2 y
  • Evaluate when x -5, y -2

(-5)2 - 2(-2)2 -2
25 - 2(4) -2
25 - 8 -2
17 -2
15
12
Looks Easy BUT
13
Try some on your own...
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