The document discusses the proper order of operations in mathematics expressions: 1) Perform any calculations within parentheses. 2) Evaluate exponents. 3) Multiply and divide in order from left to right. 4) Add and subtract in order from left to right. It also provides examples of applying the order of operations and recommends remembering it using the acronym PEMDAS.

1. Order of Operations By: Kim Harpe ED 205 02

2. Order of Operations The order for operations goes as follows: Parenthesis Exponents Multiplication and Division Addition and Subtraction Play a Game! More info about me quit

3. 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 quit

4. Exponents After parenthesis (or if there aren’t any), the next thing to do are the exponents Examples: 3 ²+4= 13 (4+2)²-5= 29 Notice on the last one we did the parenthesis FIRST and then the exponent quit

5. 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. quit

6. 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? quit

7. 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. quit

8. Resources Youtube Funbrain learn alberta quit

9. 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 quit

10. 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. quit