6.PAR.6.1 Order of Operations

Order of Operations

​6.PAR.6.1 Write and evaluate numerical expressions involving rational bases and whole-number exponents.

​Vocabulary

• ​Expression - representation of a quanitiy. Has no equal sign

• ​Operations - Add, subtract, multiply, divide

• Grouping symbols - parenthesis and brackets

• Simplify - means to solve

• Evaluate - means to solve

How can we evaluate this expression?

​What is the order of operations?

• ​The order of operations is the way to simplify expressions by performing operations in a specific order

Multiple Choice

2⁵ is the same as 2 x 5.

• True
• False
• Maybe
• 10

Multiple Choice

Which is the correct order of operations?

• PEMDAS

• DASMPE

• PEMASD

• SAPMED

​What is the order of operations?

1. ​Solve anything inside of grouping symbols ( ) { } these are parenthesis and brackets

2. Solve for exponents

3. ​Going from left to right solve any multiplication and division, which ever comes first

4. ​Going from left to right solve any addition or subtraction, which ever comes first.

​Let's look at some examples

​Simplify 4 + 3 x (2 - 4)

​Step 1: Are there parenthesis? Solve what is inside. 4 + 3 x (2 - 4)

​Step 2: What's next? Is there multiplication or division? 4 + 3 x 2

​Step 3: What's next? Is there additon or subtraction? 4 + 6

​Step 4: What is your answer? 10

Example:

Example:

Multiple Choice

Who is correct?

Sallie

$$16\div2\times8=64$$  

Brian

$$16\div2\times8=1$$  

• Sallie

• Brian

• I'm not sure

• Both

Multiple Choice

• 156

• 67

• 78

• 128

Multiple Choice

Solve: $$5-2\left(2^3-5\right)$$  

• -1

• 3

• -9

• 9

Multiple Choice

Solve: $$\left(10-5\right)^2+\left(12\div4\right)$$  

• 13

• 28

• -22

• 7

• The total amount he earned divided by the total hours he worked

gives the amount he earns per hour.

• Use the expression 54 ÷ (2.5 + 4.25) to find the amount she earned

per hour.

Formulate a plan

Identify the important information.

• Makana made $54 mowing lawns.

• Makana worked 2.5 hours yesterday and 4.25 hours today.

• You are asked to find how much he earned per hour.

Analyze information

Makana earned $54 mowing lawns in two days. He worked 2.5 hours yesterday and 4.25 hours today. If Makana was paid the same amount for every hour he works, how much did he earn per hour?

WRITE IN NOTES

Multiple Choice

Anela earned $60 washing cars in two days. She worked 1.5 hours

yesterday and 3.25 hours today. Anela was paid the same amount for

every hour she works, how much did she earn per hour? Hint: Analyze, Plan, Solve, Justify and Evaluate.

• $12.63

• $13.00

• $11.11

• $8.00