Transcript Order of Operations Using Integers

Order of Operations
Using Integers
“Operators” & “Terms”…
12 • -5 + -3 • -6
Terms
Operators
What do we do first????
-5 + 7 • 10 =
-5 + 7 • 10
2 • 10
20
-5 + 7 • 10
-5 + 70
65
It Matters!!!!
All of Algebra is Based on…
The Order of Operations
1. Parenthesis
2. Exponents
3. Multiplication & Division (left to right)
4. Addition & Subtraction (left to right)
5. Simplify any Fraction
What do we do first????
5 + 7 • 10 =
5 + 7 • 10
12 • 10
120
5 + 7 • 10
5 + 70
75
The Order of Operations
Memorize
These
1. Parenthesis
2. Exponents
3. Multiplication & Division (left to right)
4. Addition & Subtraction (left to right)
5. Simplify any Fraction
Example 1
-2 + 6(-8 + 5)
42 - 6
-2 + 6(-3)
42 - 6
-20
10
-2
-2 + 6(-3)
16 - 6
-2 + -18
16 - 6
Holy Mackerel
Example 2
12 • -5 + -3 • -6
-60 + 18
-42
Evaluating Algebraic Expressions
(2a)2 - 3b2
Evaluate when a = -2, b = 4
2
(2•-2)
-
2
3•4
(-4)2 - 3(4)2
16 - 3(16)
16 - 48
16 + (-48)
-32
More “Placeholders”
2
x
2
2y
+ y
Evaluate when x=7, y=-3
72 - 2(-3)2 + -3
49 - 2(9) + -3
49 - 18 + -3
31 + -3
28
Variables can “Vary”
2
x
2
2y
+ y
Evaluate when x = -5, y = -2
(-5)2 - 2(-2)2 + -2
25 - 2(4) + -2
25 - 8 + -2
17 + -2
15
Looks Easy BUT…
-a2
2 only has power
over the a
(not the negative
sign)
Evaluate when a = -2
Try some on your own...