Order of Operations and Long Division

Order of Operations w/Exponents

By Renee Villanueva

P - paranetheses /brackets

E - exponents

MD - multiply OR divide

AS - add OR subtract​

Order Matters!

10 ÷​ 5 ⋅ 11 - 4

Division appears before multiplication in this problem.

The order of operations says M/D (meaning multiply OR divide).​

Order Matters

Remember!

Multiplication / Division always come before Adding /Subtracting!​!

Multiple Choice

What is the first step in the following problem?

20 + 16 $$\div$$  2 x 20 - 6

• add

  20 +16

• divide

  16 $$\div$$  2

• multiply

  2 x 20

• subtract

  20 - 6

Multiple Choice

The M and D in PEMDAS stand for Multiplication and Division.

Which operation do you do first?

• always multplication

• always division

• it depends on which operation appears first

• neither

Multiple Choice

Solving addition and subtraction is the ______ step in the following expression.

• first

• second

• third

• last

Multiple Choice

Evaluating exponents is the ___________ step when following order of operations.

• first

• second

• third

• last

Multiple Choice

Find and explain the error.    

 5 - 3 + 2     

= 5 - 5       

= 0

• There is no error.

• Addition was done first and you should have subtracted first

• There is a subtraction error

Multiple Choice

What are the steps to simplify the following expression?

 50-16÷2

• add then multiply

• subtract then divide

• divide then subtract

• subtract then multiply

Multiple Choice

How do you say the following out loud?

4²

• four two

• fourth squared

• four square

• four squared

Multiple Choice

Identify step TWO in the following expression.

5 x 2 + (3 x 6)² - 4

• multiply

  3 x 6 in parentheses

• exponent, 18² =

  18 x 18 = 324

• multiply 5 x 2

Multiple Choice

True or False.

Multiplication is ALWAYS performed before division.

• true

• false

Poll

Rate your understanding of evaluating expressions with Order of Operations.

• Level 1

  Even with help, I still do not understand

• Level 2

  I am starting to get it, but a little confused.

• Level 3

  I can do this with HELP or an exmaple in front of me.

• Level 4/5 I can do this on my own. I am confident. I can teach this to others.