Order of Operations

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Order of Operations
Remember, just copy down the text in black
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• The importance of order in everyday life can not
  be over emphasized.
• The are numerous illustrations where order
  matters

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The batting order of a baseball team
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Alphabetical order for organizing

• A,

B,
C
Imagine if the 26 letters of the alphabet had no
regular order
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The order of grades in high school

• Grade 9
• Then 10
• Then 11
• Then 12

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The same holds true for math.
The order in which we operate on an expression
has a significant impact on the result!
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For example
Add these first
Multiply these first
4 X 2 6 4 X 2 6
8 6
4 X 8
OR
14
32
The arithmetic has been done correctly in each
case, but the answers are different.this is not
good
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Which one should be correct?
4 X 2 6 4 X 2 6
OR
8 6
4 X 8
32
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A pre-defined Order of Operations will allow
everyone to always agree on the correct answer.
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B
rackets
E
xponents
D
ivision
M
ultiplication
A
ddition
S
ubtraction
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1. Simplify the following

1. (4)(3) 8

Multiply first
12 8
20
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• b) 7 (9 - 3) X 5

Brackets first
7 6 X 5
7 30
37
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c) 10 (12 6)
d) 15 9 X 2
10 (2)
15 - 18
12
-3
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e) 11 5 2 X 7
f) (4 7) 25 5
11 5 14
11 25 5
6 14
11 - 5
6
20
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• g) 2(5 8)2 15
• 2(-3)2 15
• 2(9) 15
• 18 15
• 33

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h)

• -3 X 2 16

20 - 4
-6 16
- 5
10
- 5
- 2
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Take a few minutes to complete these on your own
1) -5 3 X (4 5)
22
2) 20 X 5 12 X 2
124
3) 42 4 20
0
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See Sheet
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•  Evaluate 3 6 X (5 4) 3 7
• Work through it, then click to see the answer
•  Step 1  3 6 X (5 4) 3 - 7 
•  3 6 x 9 3 7 Parentheses
• Step 2  3 6 X 9 3 - 7 
•  3 54 3 7 Multiplication
• Step 3  3 54 3 - 7 
•  3 18 7 Division
• Step 4  3 18 - 7 
•  21 7 Addition
• Step 5  21 - 7 
•  14 Subtraction