Transcript Order of Operations - Bell Mountain Math Grade 7

ORDER OF
OPERATIONS
AF 1.2
Use the correct order of operations to
evaluate algebraic expressions such as
3(2x + 5)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.

PEMDAS


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

Remember the order by
the phrase
Please
Excuse
My Dear
Aunt Sally
The “P”


The “P” stands for items in parenthesis
Do all items in the parenthesis first
The “E”
The “E” stands for Exponents
Do anything that has a exponent (power)
2
8
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
The “AS”



Represents Add and Subtract
Do which ever one of these comes first
Work left to right
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
1) 5 + (12 – 3)
5+ 9
14
3) 39 ÷ (9 + 4)
39 ÷ 13
3
2) 8 – 3 • 2 + 7
8 - 6 +7
2 + 7
9
4)
6)
10 + 8 ÷ 2 – 6
10 + 4 - 6
14 - 6
8
36 ÷ (1 + 2)2
36 ÷ 32
36 ÷ 9
4
5)
15 • 103
15 • 1,000
15,000
7) 3 • 104
3 • 10,000
30,000
8)
(5 – 1)3 ÷ 4
43 ÷ 4
64 ÷ 4
16
9)
14 + 3(7 -2) – 2 • 5
14 + 3 • 5 - 2 • 5
14 + 15 - 2 • 5
14 + 15 – 10
29 – 10
19