Miss Amy Beth Siegel

1
Order of Operations

• Presented by
• Miss Amy Beth Siegel

2
Why Do We UseOrder of Operations?
Order of Operations Why The Order Parentheses Expo
nents Multiply Divide Add Subtract Examples Song

• To avoid confusion
• Make sure everyone follows the same path
• It is universal
• To prevent different interpretations

3
Lets Evaluate
Order of Operations Why The Order Parentheses Expo
nents Multiply Divide Add Subtract Examples Song
Evaluate the expression
Students may take 2 paths
Student 1


Student 2
20
11
Which students work is correct? Why? Student 2
because of
Order of Operations!!
4
What is the Order?
Order of Operations Why The Order Parentheses Expo
nents Multiply Divide Add Subtract Examples Song

• Parentheses ()
• Exponents 22
• Multiplication
• Division
• Addition
• Subtraction

Skip to Examples
5
(What are Parentheses?)
Order of Operations Why The Order Parentheses Expo
nents Multiply Divide Add Subtract Examples Song

• In writing, parentheses may help explain a
  situation or offer a side note
• In math, parentheses indicate modifications to
  the normal order

What would this look like in an expression?
Return to Operations
parentheses
6
Four Squared?
Order of Operations Why The Order Parentheses Expo
nents Multiply Divide Add Subtract Examples Song

• If a number has an exponent, it is said to be
  raised to a certain power.
• 42

exponent
base
To simplify an exponential expression, multiply
the base by itself the amount of times indicated
by the exponent.
Example Simplify 42
42 4 x 4 16
Return to Operations
7
Multiply Your Success
Order of Operations Why The Order Parentheses Expo
nents Multiply Divide Add Subtract Examples Song

• by understanding multiplication!

If we want to multiply 2 by 3, We are adding 3
sets of the number 2
To refresh your memory, here is a multiplication
table!



x

http//xxl.vnunetblog.fr/photos/uncategorized/mult
iplication.jpg
Return to Operations
8
The Great Divide
Order of Operations Why The Order Parentheses Expo
nents Multiply Divide Add Subtract Examples Song

• Division undoes multiplication
• When we divide, we are breaking a number into
  other little parts.

If we want to divide 6 by 3, we are looking to
see how many sets of 3 are in the number 6.



(sets of 3)
Return to Operations
9
It All Adds Up
Order of Operations Why The Order Parentheses Expo
nents Multiply Divide Add Subtract Examples Song
When we add a set of numbers, we are combining
their values in order to find out the total sum.
Stop and think
Why would we want to add, before we subtract?
Return to Operations
10
Tubs Crat
Order of Operations Why The Order Parentheses Expo
nents Multiply Divide Add Subtract Examples Song
How much greater is the value of 7 than 2? Lets
use subtraction and a number line to find out!
Our final step is to subtract When we do this,
we find the difference between a set of numbers
0 1 2 3 4 5 6 7 8 9
10
Return to Operations
The difference is a value of 5!
11
Lets Try One Together
Order of Operations Why The Order Parentheses Expo
nents Multiply Divide Add Subtract Examples Song
Expression
Evaluation
Operation
14 2 (7 x 8 4) / 6 (7 x 8 4) (56
4) 60 14 2 60 / 6 14 2 10 14
12 2
Working in parentheses Multiplication Addition
Division Addition Subtraction
14 2 (7 x 8 4) / 6
Wasn't that fun!?
12
Try Some More!
Order of Operations Why The Order Parentheses Expo
nents Multiply Divide Add Subtract Examples Song
Copy the format from the prior example. Use this
chart as your guideline.
13
Answers
Order of Operations Why The Order Parentheses Expo
nents Multiply Divide Add Subtract Examples Song
14
A Song To Help You Remember
Order of Operations Why The Order Parentheses Expo
nents Multiply Divide Add Subtract Examples Song

• Please Excuse My Dear Aunt Sally
• by Lil McPhail College of the Rockies
• (To the tune of Clementine)
• Please excuse my Please excuse my Please excuse
  my dear Aunt Sally First do parentheses Then
  all the exponents Next from left to right
  Multiply and divide
• (or multiply-divide) Last again from left to
  right Addition and subtraction Please excuse my
  
• Please excuse my
• Please excuse my dear Aunt Sally

Return to Homepage