Solving Math ProblemsSolving Math ProblemsUsing the Order ofUsing the Order ofOperationsOperations
What is theWhat is the“Order of Operations”“Order of Operations”and why do we have toand why do we have touse it???use it???
The Order of Operations isThe Order of Operations isa set of rules used to helpa set of rules used to helpsimplify and solve mathsimplify and solve mathproblems such as:problems such as:(21 – 6) × 14 + 6(21 – 6) × 14 + 6
You might be thinking, “Holy cowYou might be thinking, “Holy cowMs. A!!! I can’t solve that! It’s tooMs. A!!! I can’t solve that! It’s toohard!” Well, let me show youhard!” Well, let me show youhow it works, and you’ll see howhow it works, and you’ll see howeasy it can be!easy it can be!
Here is a simple way to helpHere is a simple way to helpyou to remember the order:you to remember the order:PPleaselease EExcusexcuse MMyy DDearear AAuntunt SSallyallywhen moving left to rightwhen moving left to right(also referred to as PEMDAS)(also referred to as PEMDAS)
Each beginning letter standsEach beginning letter standsrepresents the steps we need torepresents the steps we need totake to solve the problem.take to solve the problem.Remember, it’s okay to skip aRemember, it’s okay to skip astep if the problem doesn’tstep if the problem doesn’tinclude one of them.include one of them.
Next solve the part of theNext solve the part of theproblem with the exponent.problem with the exponent.Oops! No exponent.Oops! No exponent.Skip this step.Skip this step.15 × 14 - 615 × 14 - 6
Now do the multiplication.Now do the multiplication.15 × 1415 × 14 - 6- 6↓ ↓ ↓↓ ↓ ↓210210 - 6- 6
Now we divide.Now we divide.Oops! No division.Oops! No division.Skip this step.Skip this step.210 - 6210 - 6
Then we add.Then we add.Oops! No addition.Oops! No addition.Skip this step.Skip this step.210 - 6210 - 6
And finally, we subtract.And finally, we subtract.210 - 6210 - 6↓ ↓ ↓↓ ↓ ↓204204
Did you getDid you get 204204 for yourfor youranswer???answer???
Great! Now you try one.Great! Now you try one.
Here’s the order againHere’s the order againif you need it:if you need it:PP ParenthesisParenthesis ( )( )EE ExponentsExponents 3322MM MultiplyMultiply ××DD DivideDivide ÷÷AA AddAdd ++SS SubtractSubtract --
Here’s your problem:Here’s your problem:(29 - 5) ÷ 6 – (2(29 - 5) ÷ 6 – (222))
Share your answer withShare your answer withyour neighbors. Did you allyour neighbors. Did you allcome up with the samecome up with the sameanswer???answer???
ReferencesReferencesAnonymous.Anonymous. Daily High FiveDaily High Five. Retrieved May 7, 2013 from. Retrieved May 7, 2013 fromhttp://dailyhighfive.com/about/http://dailyhighfive.com/about/..Muller, Ryan.Muller, Ryan. Design vs. LearningDesign vs. Learning. Retrieved May 7, 2013 from. Retrieved May 7, 2013 fromhttp://blog.learnstream.org/2012/07/http://blog.learnstream.org/2012/07/..Nogughi, Sharon. (October 17, 2011). The Blade. In Don’t getNogughi, Sharon. (October 17, 2011). The Blade. In Don’t getmath? Researchers home in on the brain’s problem. Retrievedmath? Researchers home in on the brain’s problem. RetrievedMay 7, 2013, fromMay 7, 2013, fromhttp://www.toledoblade.com/Education/2011/10/17/Don-t-get-mathttp://www.toledoblade.com/Education/2011/10/17/Don-t-get-math..This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivs 3.0 United States License. To view aThis work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivs 3.0 United States License. To view acopy of this license, visit http://creativecommons.org/licenses/by-nc-nd/3.0/us/.copy of this license, visit http://creativecommons.org/licenses/by-nc-nd/3.0/us/.