Order of Operations

Order of Operations

by Jessica Whittemore

Poll

How confident are you with Order of Operations so far?

• I feel really confident in the steps of PEMDAS

• I am somewhat confident in the steps of PEMDAS

• I am not really confident, but I know what PEMDAS stands for

• What is PEMDAS?!

​Order of Operations

The rules that say which calculation comes first in an expression

​

• First, do everything inside parentheses or brackets

• Next, do any exponents, like x²

• Perform any multiplication or division from left to right

• Last, solve any addition or subtraction from left to right

• Take it step by step!

Multiple Choice

Look at the following problem: 

55 ÷ 11 + 7 x (2 + 14)

Select the answer that shows the CORRECT order to solve this problem using order of operations

• parenthesis, division, multiplication, addition

• parenthesis, multiplication, addition, division

• parenthesis, division, addition, multiplication

• multiplication, division, addition, parenthesis

​Remember...

• First, do everything inside parentheses or brackets

• Next, do any exponents, like x²

• Perform any multiplication or division from left to right​

• Last, solve any addition or subtraction from left to right

​

Take it step by step!

Open Ended

In the previous problem, we solved division BEFORE multiplication because....

Multiple Choice

If addition and subtraction are in the same problem, what do you do first? 

• add

• subtract 

• it depends. You do whatever comes first, from left to right. 

​Remember...

• First, do everything inside parentheses or brackets

• Next, do any exponents, like x²

• Perform any multiplication or division from left to right​

• Last, solve any addition or subtraction from left to right

​

Take it step by step!

Poll

Which step do I do first?

(9+2) x 6-5= ______

• parenthesis

• multiply 

• subtract

Multiple Choice

Evaluate using Order of Operations

(9+2) x 6-5= ______

• 11

• 66

• 61

Open Ended

In the expression below, after I add what is inside my parenthesis, what step do I do next?

$$27\div\left(3+6\right)\times5$$  

Multiple Choice

Evaluate using Order of Operations

$$27\div\left(3+6\right)\times5$$  

• 5

• 10

• 15

• 20

Multiple Choice

If multiplication and division are in the same problem, what do you do first?

• multiply

• divide

• it depends. You do whatever one comes first from left to right.

Multiple Choice

$$\left(20\ -\ 8\right)\ x\ 8\ -\ 5$$  

• 12

• 91

• 36

Multiple Choice

$$\left(13\ +\ 50\ -\ 3\right)\ x\ 6\$$  

• 63

• 60

• 36

• 360