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4. Example 3-1b 1/6 Objective Evaluate expressions using the order of operations

5. Example 3-1b 1/6 Vocabulary Numerical expression An expression that contains numbers and at least one operation 3 + 4 7 – 6 6 + 4 - 3

6. Example 3-1b 1/6 Vocabulary Order of Operations A set of rules to evaluate expressions

7. Example 3-1b 1/6 Order of Operations Rules 1.Do all operations within grouping symbols first. ( ) [ ] { } 2.Evaluate all powers before other operations. exponents 3 2 square roots  16 3.Multiply and divide in order from left to right.  x3(4) 4.Add and subtract in order from left to right. + - Please Excuse My Dear Aunt Sally P E MD AS

8. Lesson 3 Contents Example 1Evaluate Expressions Example 2Evaluate Expressions Example 3Evaluate Expressions with Powers Example 4Evaluate Expressions with Powers Example 5Evaluate an Expression

9. Example 3-1a Answer: 7 Write problem Evaluate 1/5 27 - (18 + 2) P E MD AS Work inside parenthesis first Add 18 + 2 Bring down 27 - 27 - 20 Subtract 20 from 27 7 Follow Order of Operations rules

10. Example 3-1b Answer: 16 Evaluate 1/5

11. Example 3-2a Evaluate 2/5 Write expression 15 + 5  3 - 2 P E MD AS 15 + 15 - 2 Follow Order of Operations Rules Multiply before adding and subtracting Multiply 5  3 Bring down - 2 Bring down 15 +

12. Example 3-2a Answer: 28 Evaluate 2/5 P E MD AS 15 + 15 - 2 30 - 2 28 Follow rules of Order of Operations Add and subtract from left to right Add 15 + 15 Bring down - 2 Subtract 2 from 30

13. Example 3-2b Answer: 15 Evaluate 2/5

14. Example 3-3a Answer: 120,000 Evaluate 3/5 Write expression 12  10 4 P E MD AS 12  10,000 120,000 Follow rules of Order of Operations Do exponents first Bring down 12  Find 10 4 Multiply 12  10,000

15. Example 3-3b Answer: 9,000 Evaluate 3/5

16. Example 3-4a Evaluate 4/5 Write expression 28  (3 - 1) 2 P E MD AS 28  ( 2 ) 2 Follow rules of Order of Operations Work inside parenthesis first Bring down 28  ( Subtract 3 - 1 Bring down ) 2

17. Example 3-4a Answer: 7 Evaluate 4/5 P E MD AS 28  ( 2 ) 2 28  4 7 Follow Order of Operations Rules Do exponents Bring down 28  ( Since 2 is in parenthesis, find the square of 2 Divide 28  4

18. Example 3-4b Answer: 4 Evaluate 4/5

19. Example 3-5a Evaluate. 5/5 Write expression 32 - 5 ( 4 + 2 ) + 8  2 P E MD AS 32 - 5 ( 6 ) + 8  2 Follow Order of Operations Rules Work inside the parenthesis first Bring down 32 - 5 ( Add 4 + 2 Bring down ) + 8  2

20. Example 3-5a Evaluate. 5/5 P E MD AS 32 - 5 ( 6 ) + 8  2 32 - 30 + 16 Follow Order of Operations Rules Multiply from left to right Bring down 32 - Multiply 5(6) Bring down + Multiply 8  2

21. Example 3-5a Answer: 18 Evaluate. 5/5 P E MD AS 32 - 30 + 16 2 + 16 18 Follow Order of Operations Rules Add and subtract from left to right Subtract 32 - 30 Bring down + 16 Add 2 + 16

22. Example 3-5b Answer: 9 Evaluate 5/5

23. End of Lesson 3 Assignment Lesson 1:3Order of Operations15 - 38 All

24. Example 3-6a Use the table shown below. Taylor is buying two video game stations, five extra controllers, and ten games. What is the total cost? ItemQuantityUnit Cost game station 2$180.00 controller 5 $24.95 game10 $35.99 6/6

25. Example 3-6a number of game stations cost of game station number of controllers number of games cost of game cost of controller 2$180510$35.99$24.95 Multiply from left to right. Add. 6/6

26. Example 3-6a Check Check the reasonableness of the answer by estimating. The cost is about (2 × 200) + (5 × 25) + (10 × 40) = 400 + 125 + 400, or about $925. The solution is reasonable. Answer: So, the total cost is $844.65. 6/6

27. Example 3-6b Use the table shown below. Suzanne is buying a video game station, four extra controllers, and six games. What is the total cost? ItemQuantityUnit Cost game station1$180.00 controller4 $24.95 game6 $35.99 Answer: $495.74 6/6