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Order of Operations and Evaluating Expressions Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.

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Order of Operations When simplifying an equation, operations should be performed in the following order from left to right. P arentheses E xponents M ultiplication D ivision A ddition S ubtraction An easy way to remember these is to use the acronym Please Excuse My Dear Aunt Sally to remember the first letter of each operation. Or just remember PEMDAS

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Two things to remember when using order of operations is that… P arentheses E xponents M ultiplication D ivision A ddition S ubtraction Multiplication and Division work together from left to right } } Addition and Subtraction work together from left to right

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PEMDAS Let’s take a look at a few examples… Example 1) Simplify the expression What is the first step we will have to do? 1 st ) We must perform all operations within the parentheses. Remember that addition and subtraction must be performed together from left to right. 2nd) We must square what’s in the parentheses because exponents is the next operation. What is the second step we will have to do? Note that you will need to have the exponent of 2 outside the parentheses when you type this into your calculator.

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PEMDAS Let’s take a look at a few examples… Example 1) Simplify the expression What is our next step? 3rd) We must multiply three and four. Remember that when a number is next to a parenthesis the operation implied is multiplication. And the last step is?... 4 th ) Add twelve and ten So our answer is 22.

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PEMDAS Try this example by yourself first before we go through it together. Example 2) Simplify the expression When given a fraction, the numerator and denominator work as if they had parentheses around them. Parentheses ( ) Multiplication Division (fraction bar) Addition

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PEMDAS When asked to evaluate, you substitute the corresponding value for each variable. Then simplify the expression using order of operations Example 3) Evaluate if a = 3, b = -2, and c = 10 1 st ) Substitute each value in for its corresponding variable. 2 nd ) Simplify the numerator because of parentheses 3rd) Division (fraction bar) 4 th ) Subtraction **Remember that subtracting a negative number is the same as adding.

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Follow-Up Questions Answer the following questions on loose leaf and hand them in to your teacher.

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Follow-Up Questions Simplify each expression and show all steps 1) 2) 3) Evaluate if a = 4, b = 2, and c = - 6 4) 5)

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1-1 Evaluating Expressions P E M D A S arentheses xponents ultiplication ivision ddition ubtraction } } (in order: left to right) To remember the order.

1-1 Evaluating Expressions P E M D A S arentheses xponents ultiplication ivision ddition ubtraction } } (in order: left to right) To remember the order.

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