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Order Of Operations

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Solving Math ProblemsSolving Math Problems
Using the Order ofUsing the Order of
OperationsOperations
What is theWhat is the
“Order of Operations”“Order of Operations”
and why do we have toand why do we have to
use it???use it???
The Order of Operations isThe Order of Operations is
a set of rules used to helpa set of rules used to help
simplify and solve mathsimplify and solve math
problems such as:problems such as:
(21 – 6) × 14 + 6(21 – 6) × 14 + 6
You might be thinking, “Holy cowYou might be thinking, “Holy cow
Ms. A!!! I can’t solve that! It’s tooMs. A!!! I can’t solve that! It’s too
hard!” Well, let me show youhard!” Well, let me show you
how it works, and you’ll see howhow it works, and you’ll see how
easy it can be!easy it can be!
Here is a simple way to helpHere is a simple way to help
you to remember the order:you to remember the order:
PPleaselease EExcusexcuse MMyy DDearear AAuntunt SSallyally
when moving left to rightwhen moving left to right
(also referred to as PEMDAS)(also referred to as PEMDAS)
Each beginning letter standsEach beginning letter stands
represents the steps we need torepresents the steps we need to
take to solve the problem.take to solve the problem.
Remember, it’s okay to skip aRemember, it’s okay to skip a
step if the problem doesn’tstep if the problem doesn’t
include one of them.include one of them.

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Order Of Operations

  • 1. Solving Math ProblemsSolving Math Problems Using the Order ofUsing the Order of OperationsOperations
  • 2. What is theWhat is the “Order of Operations”“Order of Operations” and why do we have toand why do we have to use it???use it???
  • 3. The Order of Operations isThe Order of Operations is a set of rules used to helpa set of rules used to help simplify and solve mathsimplify and solve math problems such as:problems such as: (21 – 6) × 14 + 6(21 – 6) × 14 + 6
  • 4. You might be thinking, “Holy cowYou might be thinking, “Holy cow Ms. A!!! I can’t solve that! It’s tooMs. A!!! I can’t solve that! It’s too hard!” Well, let me show youhard!” Well, let me show you how it works, and you’ll see howhow it works, and you’ll see how easy it can be!easy it can be!
  • 5. Here is a simple way to helpHere is a simple way to help you to remember the order:you to remember the order: PPleaselease EExcusexcuse MMyy DDearear AAuntunt SSallyally when moving left to rightwhen moving left to right (also referred to as PEMDAS)(also referred to as PEMDAS)
  • 6. Each beginning letter standsEach beginning letter stands represents the steps we need torepresents the steps we need to take to solve the problem.take to solve the problem. Remember, it’s okay to skip aRemember, it’s okay to skip a step if the problem doesn’tstep if the problem doesn’t include one of them.include one of them.
  • 7. Here’s the order:Here’s the order: PP  ParenthesisParenthesis ( )( ) EE  ExponentsExponents 3322 MM  MultiplyMultiply ×× DD  DivideDivide ÷÷ AA  AddAdd ++ SS  SubtractSubtract --
  • 8. Let’s try to solve theLet’s try to solve the problem now using thisproblem now using this order…order…
  • 9. Solve what’s inside theSolve what’s inside the parenthesis first.parenthesis first. (21 – 6)(21 – 6) × 14 - 6× 14 - 6 ↓ ↓ ↓↓ ↓ ↓ 1515 × 14 - 6× 14 - 6
  • 10. Next solve the part of theNext solve the part of the problem with the exponent.problem with the exponent. Oops! No exponent.Oops! No exponent. Skip this step.Skip this step. 15 × 14 - 615 × 14 - 6
  • 11. Now do the multiplication.Now do the multiplication. 15 × 1415 × 14 - 6- 6 ↓ ↓ ↓↓ ↓ ↓ 210210 - 6- 6
  • 12. Now we divide.Now we divide. Oops! No division.Oops! No division. Skip this step.Skip this step. 210 - 6210 - 6
  • 13. Then we add.Then we add. Oops! No addition.Oops! No addition. Skip this step.Skip this step. 210 - 6210 - 6
  • 14. And finally, we subtract.And finally, we subtract. 210 - 6210 - 6 ↓ ↓ ↓↓ ↓ ↓ 204204
  • 15. Did you getDid you get 204204 for yourfor your answer???answer???
  • 16. Great! Now you try one.Great! Now you try one.
  • 17. Here’s the order againHere’s the order again if you need it:if you need it: PP  ParenthesisParenthesis ( )( ) EE  ExponentsExponents 3322 MM  MultiplyMultiply ×× DD  DivideDivide ÷÷ AA  AddAdd ++ SS  SubtractSubtract --
  • 18. Here’s your problem:Here’s your problem: (29 - 5) ÷ 6 – (2(29 - 5) ÷ 6 – (222 ))
  • 19. Share your answer withShare your answer with your neighbors. Did you allyour neighbors. Did you all come up with the samecome up with the same answer???answer???
  • 20. Let’s check it together.Let’s check it together. ParenthesisParenthesis (29 - 5)(29 - 5) ÷ 6 –÷ 6 – (2(222 )) ↓ ↓ ↓↓ ↓ ↓ 2424 ÷ 6 -÷ 6 - 44
  • 21. ExponentExponent No more exponents.No more exponents. Skip this step.Skip this step. 24 ÷ 6 - 424 ÷ 6 - 4
  • 22. MultiplyMultiply No multiplication.No multiplication. Skip this step.Skip this step. 24 ÷ 6 - 424 ÷ 6 - 4
  • 23. DivideDivide 24 ÷ 624 ÷ 6 – 4– 4 ↓ ↓ ↓↓ ↓ ↓ 44 - 4- 4
  • 24. AddAdd No addition.No addition. Skip this step.Skip this step. 4 - 44 - 4
  • 25. SubtractSubtract 4 – 44 – 4 ↓ ↓ ↓↓ ↓ ↓ 00 Your answer should be: 0Your answer should be: 0 Great job!!!Great job!!! 
  • 26. ReferencesReferences Anonymous.Anonymous. Daily High FiveDaily High Five. Retrieved May 7, 2013 from. Retrieved May 7, 2013 from http://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 from http://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 get math? Researchers home in on the brain’s problem. Retrievedmath? Researchers home in on the brain’s problem. Retrieved May 7, 2013, fromMay 7, 2013, from http://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 a copy 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/.