Introduction to Order of Operations

Introduction to Order of Operations

6.EEI.A.2.c

I can... Evaluate numeric expressions using the order of operations.

What are the Order of Operations?

1. Parenthesis

2. Exponents

3. Multiplication/Division

4. Addition/Subtraction

We can use the acronym "PEMDAS" to help us remember the order!

What are the Order of Operations?

1. Groupings

2. Exponents

3. Multiplication/Division

4. Subtraction/Addition

We can use the acronym "GEMS" to help us remember the order!

Poll

What are the order of operations?

• Parenthesis

  Exponents

  Multiplication/Division

  Addition/Subtraction

• Groupings

  Exponents

  Multiplication/Division

  Subtraction/Addition

• PEMDAS

• GEMS

Parenthesis or Grouping Symbols

- Parenthesis

- Brackets

- Braces

- Fraction Bars

Simplify using the order of operations.

 $\left(3\times5\right)-\left(2\times6\right)$  

Multiple Choice

Simplify using the order of operations.

 $\left(9\times2\right)+\left(7\times5\right)$  

• 125

• 17

• 405

• 53

Fill in the Blank

Simplify using the order of operations.

 $3+\left(3\times4\right)$  

Exponents

A power has two parts:

a base and an exponent

Base = the factor

Exponent = tells us how many times to use the base as a factor

Multiple Select

Simplify. Select the exapanded form and the simplified form.

 $2^4$  

•  $2\times2\times2\times2$  

•  $4\times4$  

•  $16$  

•  $8$  

Fill in the Blank

Write in expanded form.

 $5^2$  

Fill in the Blank

Simplify.

 $5^2$  

Multiplication/Division

Multiplication and Division are done from left to right in the order they appear.

Simplify using order of operations.

 $8\times2\div4$  

Simplify using order of operations.

 $12\div2\times4$  

Multiple Choice

According to the order of operations, what operation should we complete first when simplifying the following?

 $12\div6\times3$  

• Addition

• Subtraction

• Multiplication

• Division

Fill in the Blank

Simplify using the order of operations.

 $12\div6\times3$  

Addition/Subtraction

Addition and Subtraction are done from left to right in the order they appear.

Fill in the Blank

Simplify using the order of operations.

 $8+2-6$  

Multiple Choice

According to the order of operations, what operation should we complete first when simplifying the following?

 $9-7+8-2$  

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

Simplify using the order of operations.

 $9-7+8-2$  

• 8

• 10

• 4

• 26

Poll

My level of understanding so far on using the order of operations is...

• 1. I'm starting to get it but I'm still confused.

• 2. I can do it with help or an example.

• 3. I can do it on my own.

• 4. I can teach someone else.