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

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.

 $2^4$  

•  $2\times2\times2\times2$  

•  $4\times4$  

•  $16$  

•  $8$  

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

Addition/Subtraction

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

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.