Order of Operations

Lesson 8 Order of Operations

What are the Order of Operations?

Rules to follow when simplifying an expression that contains multiple operations.

Multiple Choice

How many operations does the expression

$$3-7\div4\times12$$  contain?

• 1

• 2

• 3

• 4

Why does order matter?

G - Grouping Symbols

Multiple Select

Select any expressions that contain grouping symbols.

• $$2+3-7$$  

• $$5\left(3-1\right)+6$$  

• $$65\times78\times2$$  

• $$\left|3-8\right|+4$$  

• $$4^2$$  

Exponents

Multiplication or Division

• LEFT TO RIGHT AS THEY APPEAR

• In math we read left to right, just like English

Multiple Choice

When simplifying the expression  $$10\div5\times3$$   which operation should you perform first?

• Multiplication

• Division

Addition or Subtraction

• LEFT TO RIGHT AS THEY APPEAR

• In math we read left to right, just like in English

Multiple Choice

When simplifying the expression  $$17-4+3+6$$   which operation should you perform first?

• Addition

• Subtraction

GEMS

We must always follow the GEMS order when simplifying expressions!

​Example

Multiple Select

Which of the steps in GEMS requires the left to right rule? Select all that apply.

• Grouping

• Exponents

• Multiply / Divide

• Add / Subtract

Multiple Choice

 Simplify the expression  $$12-4\div2$$  

• 6

• 4

• 10

• 14

Multiple Choice

$$18\div3-2\times2$$  

Simplify the expression

• 12

• 2

• 4

• 8

Fill in the Blank

296 − (65 ⋅2 − 32 ÷4) =

Multiple Choice

Where is my mistake?
     4 + 5 x 2 - 6 =
Line 1:    = 9 x 2 - 6 

Line 2:  = 18 - 6 

Line 3:     = 12

• Line 1

• Line 2

• Line 3