2. Order of Operations Ms. Pliska’s 5 th Grade Mathematics Class Click on the arrow below to begin

3. Click on each icon to learn how to do each step in the Order of Operations… ParenthesisParenthesis Exponents Multiplication Division Addition Subtraction ExponentsMultiplicationDivisionAdditionSubtraction Click here to try a question yourself Definition of Order of Operations Previous Slide Extra Problem to Review

4. Definition of Order of Operations It can also be called “Operator Precedence” The Order of Operations is a rule used to clarify which mathematical procedure should be performed first when solving a problem such as the one provided ( 6 + 3 )^2 – 8 x 2 / 2 (9)^2 – 8 x 2 / 2 81 – 8 x 2 / 2 81 – 16 / 2 81 – 8 = 73 Now, click the arrow to return to the main menu Previous Slide

5. Parenthesis  P = Parenthesis  The P in “Please Excuse My Dear Aunt Sally” or PEMDAS, stands for parenthesis  Therefore, when you are given a problem the first thing you will look for is if there are any parenthesis in your given problem and solve for that first.  So, for this problem … ( 6 + 3 )^2 – 8 x 2 / 4  The next line would look like this… (9)^2 – 8 x 2 / 4  Now, click the arrow to return to the main menu Previous Slide

6. Exponents  E = Exponents  The E in “Please Excuse My Dear Aunt Sally” or PEMDAS, stands for exponents  Therefore, the next step when you are given a problem is to check for any exponents and solve for them next  So, for this problem … ( 6 + 3 )^2 – 8 x 2 / 4  (9)^2 – 8 x 2 / 4  The following line would be … 81 – 8 x 2 / 4  Now, click the arrow to return to the main menu Previous Slide

7. Multiplication  M = Multiplication  The M in “Please Excuse My Dear Aunt Sally” or PEMDAS, stands for multiplication  Therefore, the next step when you have a problem is to check for any multiplication. Also, remember that the M and the D in PEMDAS are seen as a pair. So, if you have both multiplication and division in your problem simply work from left to right in your problem to solve.  So, for this problem … ( 6 + 3 )^2 – 8 x 2 / 4  (9)^2 – 8 x 2 / 4  81 – 8 x 2 / 4  The following line would be … 81 – 16 / 4  Now, click the arrow to return to the main menu Previous Slide

8. Division  D = Division  The D in “Please Excuse My Dear Aunt Sally” or PEMDAS, stands for division  Therefore, the next thing you will look for when solving your problem is if there is any division that needs to be solved for  So, for this problem … ( 6 + 3 )^2 – 8 x 2 / 4  (9)^2 – 8 x 2 / 4  81 – 8 x 2 / 4  81 – 16 / 4  The next line would look like this… 81 – 4  Now, click the arrow to return to the main menu Previous Slide

9. Addition  A = Addition  The A in “Please Excuse My Dear Aunt Sally” or PEMDAS, stands for addition  Therefore, the next thing you will look for in your problem is for any addition. However, as I mentioned on a pervious slide with multiplication and division being seen as a pair and working from left to right, the same goes with addition and subtraction.  So, for this problem … ( 6 + 3 )^2 – 8 x 2 / 4  (9)^2 – 8 x 2 / 4  81 – 8 x 2 / 4  81 – 16 / 4  81 – 4  However, you will notice in this problem there is no addition. So, when this happens simply move onto the next step in PEMDAS Previous Slide

10. Subtraction  S = Subtraction  The S in “Please Excuse My Dear Aunt Sally” or PEMDAS, stands for subtraction  The last and final step in PEMDAS is subtraction. So, when you are solving a problem check for any subtraction that needs to be completed  So, for this problem … ( 6 + 3 )^2 – 8 x 2 / 4  (9)^2 – 8 x 2 / 4  81 – 8 x 2 / 4  81 – 16 / 4  81 – 4  The final step & answer is … = 77  Now, click the arrow to return to the main menu Previous Slide

11. Here is an extra problem for you to review…  Use the Order of Operations to solve this problem Parenthesis 63 – 5 + (8-2)^2 x 3 / 2 Exponents 63 – 5 + (6)^2 x 3 / 2 Multiplication 63 – 5 + 36 x 3 / 2 Division 63 – 5 + 108 / 2 Subtraction (Work from left to right) 63 – 5 + 54 Addition 58 +54 Final Answer = 112 Previous Slide

12. Now a problem for you to try! Use the Order of Operations to solve…  7 x ( 9 – 3) + 2 – 4^2 A.) 26 B.) 14 C.) 28 D.) 56

13. Oops, sorry 26 is not the correct answer. I think you made a little mistake…  Remember your order of operations  P = Parenthesis  E = Exponents  M = Multiplication  D = Division  A = Addition  S = Subtraction  Remember when you have multiplication & division and addition & subtraction, you work from left to right  Please click on the back arrow to try again! Previous Slide

14. Oops, sorry 14 is not the correct answer. I think you made a little mistake…  Remember your order of operations  P = Parenthesis  E = Exponents  M = Multiplication  D = Division  A = Addition  S = Subtraction  Remember when you have multiplication & division and addition & subtraction, you work from left to right  Please click on the back arrow to try again! Previous Slide

15. That is correct! 28 is the right answer! NICE JOB! Please click on the arrow to continue… Next Slide

16. Oops, sorry 56 is not the correct answer. I think you made a little mistake…  Remember your order of operations  P = Parenthesis  E = Exponents  M = Multiplication  D = Division  A = Addition  S = Subtraction  Remember when you have multiplication & division and addition & subtraction, you work from left to right  Please click on the back arrow to try again! Previous Slide

17. Congratulations! You have reached the end of the Order of Operations lesson! And remember … Click here to return to the beginning for your next classmate