1. Confidential1 Today we will be learning about the "Order of Operations"

2. Confidential2 8 * 36 = 126 ÷ 6 = 29 * 5 = 42 ÷ 3 = Let's do a few practice problems before we get started.

3. Confidential3 Let's review what we learned in the last lesson.....

4. Confidential4

5. 5

6. 6 A Numerical Expression is a combination of numbers and operations. Examples:4 + 3 * 5 2 2 + 6 ÷ 2 (10 * 8) - 7 1 2 3 4 5 6 Let's begin!

7. Confidential7 Do you know what we mean by "Operations"? We "operate " on the numbers by Dividing Multiplying Adding Subtracting + - ÷ x 1 2 3 4 5 6 7 8 9

8. Confidential8 How might you solve this problem? 6 + 2 * 5 = Could another student solve this problem differently? 6 + 2 * 5 = How do we know which one is correct?????

9. Confidential9 To find the correct answer, we need to follow an Order of Operations This tells us which operation to perform first so that everyone gets the same final answer!

10. Confidential10 Order of Operations 1. Parentheses 2. Exponents 3. Multiplication Division 4. Addition Subtraction Simplifying the expressions inside grouping symbols examples: (3+5) or (4*6) Find the value of all powers examples: 2 3 or 4 2 Perform multiplication or division in the order in which it occurs when reading the expression from left to right. Perform addition or subtraction in the order in which it occurs when reading the expression from left to right. P E M D A S

11. Confidential11 We can remember the Order of Operations as PEMDAS P E M D A S arentheses xponents ultiplication ivision ddition ubtraction "Please Excuse My Dear Aunt Sally"

12. Confidential12 P E M D A S arentheses xponents ultiplication ivision ddition ubtraction Or "Purple Eggplants Make Delicious Afternoon Snacks!"

13. Confidential13 P E M D A S arentheses xponents ultiplication ivision ddition ubtraction Let's try some..... whichever comes first Numerical expression 4 + 3 * 5 = Read from left to right... just like a book. There are no Parentheses. There are no Exponents. There is some Multiplication so do this first. 4 + 15 = We perform the Addition last. 19

14. Confidential14 P E M D A S arentheses xponents ultiplication ivision ddition ubtraction whichever comes first "Purple Eggplants Make Delicious Afternoon Snacks!" 10 - 2 + 8 = Read the expression from left to right. 8 + 8 = We perform Addition and Subtraction in the order in which they occur. So do the Subtraction first! Then do the Addition. 16 Numerical Expression

15. Confidential15 P E M D A S arentheses xponents ultiplication ivision ddition ubtraction whichever comes first "Please Excuse My Dear Aunt Sally" 20 ÷ 4 + 17 * (9 - 6) = Do the operations in Parentheses first. 20 ÷ 4 + 17 * 3 = 5 + 17 * 3 = 5 + 51 = 56 There are no Exponents. Perform Multiplication or Division in the order in which they occur. The Division should be done first. Then perform the Multiplication. Finally perform the Addition.

16. Confidential16 Your turn! 10 + 2 x 15 = 25 x (5 - 2) ÷ 5 = 10 + (6 - 5) = 24 ÷ 2 3 + 6 = P E M D A S

17. Confidential17 Sometimes we have operations "nested" within the parentheses which must be completed first. Example: 60 ÷ (12 + 2 3 ) x 9 = 60 ÷ (12 + 8) x 9 = 60 ÷ 20 x 9 = 3 x 9 = 27 We want to do the Parentheses but first we must take care of the Exponents WITHIN the Parentheses. Then we can solve the Parentheses. Division comes before Multiplication when reading the expression from left to right. Finally we can perform the Multiplication.

18. Confidential18 Practice Problems 1) 9 + 3 - 5 = 2) (26 + 5) x 2 - 15 = 3) 18 ÷ (2 + 7) x 2 + 1 = 4) 5 2 + 8 ÷ 2 = 5) 10 - 3 + 9 = 6) 5 + (21 - 3) = 7) 21 ÷ (3 + 4) x 3 - 8 = 8) 19 - (3 2 + 4) + 6 =

19. Confidential19 What is the value of 100 divided by 5 times 4 minus 79? (Can you write this out as a "Numerical Expression"?)

20. Confidential20 Can you develop an expression that uses multiplication, division, addition, and subtraction, as well as grouping symbols, whose solution is 2 ?????

21. Confidential21 Adult admission to a football game is $5, and student admission is $2. Which expression could be used to find the total cost of 2 adult and 4 student admissions to the football game? a.)2 + $5 x 4 + $2 b.)$5 + $2 + 6 c.)$2 + 4 x $5 + 2 d.)2 x $5 + 4 x $2

22. Confidential22 1.) Can you give me an example of a “ Numerical Expression“ ? 2.)What do I mean by "Operations“ ? 3.)In what order do I perform the "Operations“ ? 45 + 79 – (5 x3) To operate on the numbers by using the rules of PEMDAS Parentheses PEMDASPEMDAS Exponents Multiplication Division Addition Subtraction Your turn

23. Confidential23 a.)5 x 6 - (9 - 4) = b.)16 ÷ 2 + 8 x 3 = c.) 4 3 - 24 + 8 = d.) 45 ÷ 9 + 8 - 7 + 2 x 3 = e.)(8 + 1) x 11 - 13 = 4.)Find the value of each expression?

24. Confidential24 You did a GREAT job today!!! *We learned to identify a "Numerical Expression". 4 + (8 x 2) - 3 * We learned about "Operations". + - ÷ x * We learned that we need to perform "Operations" in a certain order.

25. Confidential25 * We learned some funny ways to remember the "Order of Operations". Please Excuse My Dear Aunt Sally! Purple Eggplants Make Delicious Afternoon Snacks! PEMDASPEMDAS Parentheses Exponents Multiplication Division Addition Subtraction

26. Confidential26 You did a splendid Job Be sure to practice what you have learned