Order of Operations

Order of Operations

With Integers....

Take notes...G.E.M.D.A.S.

• First we have to look at all "Grouping Symbols" - these can be parentheses, brackets, absolute value bars and vinculum (aka the fraction bar that separates the numerator and denominator). Anything that is grouped must be solved (using order of ops) before moving on to the rest of the expression

• Next, is "Exponents" - with integers we have to watch out for the placment of the exponent (is it inside or outside of parentheses?) and again the sneaky negative sign (remember the rules for multiply with a negative number)

Take notes...G.E.M.D.A.S.

• Multiplication and Division are done next. Remember, these items are done in order from left to right. Sometimes we will be dividing before we are multiplying. Sometimes we will be multiplying before dividing. It depends which one comes up in the expression first (or on the left of the other one).

• The same is true about the A. and S.

Take notes...G.E.M.D.A.S.

• Addition and Subtraction must also be done left to right as well.

• Also, it is a good idea to use your Keep, Change, Change for the subtraction part. It will help you keep track of negative signs.

• Another way to help you watch out for your negative signs is to have another color (highlighter, colored pencil, etc.) that you can use to mark the negative signs so they stand out more and you pay more attention to them; in hopes of not leaving them behind in your work.

Multiple Choice

The fraction bar means...

• nothing

• divide

But....

before you can divide sometimes you have to solve for the numerator and/or the denominator. This is how the fraction bar (vinculum) acts as a grouping symbol.

Exponents

watch out for things like this...

When the negative sign is inside the parentheses it tells you that the repeated multiplication is done with negative three (so -3 times -3 equals positive 9). But when it is outside, we say the opposite of 3 squared (which results in negative nine).

MD or DM...AS or SA

Which one first???

Let's do this!

Ready to try out some problems? Go to Google Classroom and find the Order of Operations Assignment (if you want, work with a partner in class, and google hangout to discuss your work). Don't forget to check in with Ms. Laurich.