Order of Operations

By: Kim Harpe

ED 205 02

Order of Operations

• The order for operations goes as follows:

• Parenthesis

• Exponents

• Multiplication and Division

• Addition and Subtraction

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Parenthesis

• In an operation, the first thing you must do is anything that is in parenthesis.

• Examples:

• (2+4)÷3= 2

• (5-1)+7= 11

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Exponents

• After parenthesis (or if there aren’t any), the next thing to do are the exponents

• Examples:

• 3²+4= 13

• (4+2)²-5= 29

• Notice on the last one we did the parenthesis FIRST and then the exponent

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Multiplication and Division

• Next we do any multiplication or divisionin the problem• Examples• (6÷3)-1×8= -6• We did the parenthesis first so we had 2-1×8; then the multiplication leaving us with 2-8 which is

equal to -6 7×3+2-12÷6= 21 In this problem we did 7×3 first making it

21+2-12÷6; then we evaluated 12÷6 making it now 21+2-2 leaving our final answer of 21.

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Addition and Subtraction

The last step we evaluate in our problem is the addition and subtraction.

Example:

1+9×3-4=24

We did 9×3 first making the problem 1+27-4 which equals 24

Now that you know the order of operations

How can you REMEMBER?

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More about me

• My name is Kim Harpe and I am currently a sophomore at Grand Valley State University. I live in Grand Rapids, MI and have a one year old daughter. I hope to become a bilingual math teacher for middle school students. If you would like to know more or just to talk feel free to email me from the link below.

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Resources• Youtube

• Funbrain

• learn alberta

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Play a Game!

• Here are some sites that you can visit to play some games relative to what you just learned.

• game at funbrain.com

• choose the correct operation

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Ways to remember

• There are different ways to remember the order of operations. I suggest PEMDAS (that is parenthesis, exponents, multiplication and division, addition and subtraction). You can memorize the word PEMDAS, remember it by making it into a sentence such as Please Excuse My Dear Aunt Sally, or think of your own creative way.

• Take a look at what some students did to remember their order of operations.

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