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Order of Operations

Order of Operations. Does the order in which operations are done make any difference?. Ex. Which is the correct answer when simplifying 6 + 3 x 12?. 6+ 3x12 =6+ 36 =42. 6+3 x12 = 9 x12 =108. OR. What Rule Do These Examples Seem to Follow?. PEMDAS (Please Excuse My Dear Aunt Sally).

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Order of Operations

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  1. Order of Operations

  2. Does the order in which operations are done make any difference? • Ex. Which is the correct answer when simplifying 6 + 3 x 12? 6+3x12 =6+36 =42 6+3x12 =9x12 =108 OR

  3. What Rule Do These Examples Seem to Follow?

  4. PEMDAS (Please Excuse My Dear Aunt Sally) • Parenthesis • Exponents • Multiplication/Division • Addition/Subtraction

  5. Now you try, using the rule… A: 16

  6. A: 15

  7. A: 28

  8. A: 16

  9. A: -96

  10. A: -1

  11. A: -15

  12. A = 9

  13. Grouping Symbols • Grouping symbols such as parentheses ( ), brackets [ ], and braces are used to clarify or change the order of operations. • They indicate that the expression within the grouping symbol is to be evaluated first.

  14. A: 31

  15. A: 60

  16. A: 36

  17. Fraction Bar • A fraction bar is another type of grouping symbol. • It indicates that the numerator and denominator should each be treated as a single value.

  18. A: 2

  19. A: 1

  20. You Try….. A: 14 A: 51 A: 60 A: 26 A: 5

  21. Evaluating Algebraic Expressions • First replace the variables with their values. • Then, find the value of the numerical expressions using the order of operations.

  22. A: 42

  23. A: 30

  24. Evaluate the following if g = 4, h = 6, j = 8, and k = 12. A: 30 A: 160 A: 1

  25. Evaluate the following if x = 2, y = 3, a = 4/5, and b = 3/5. A: 9 A: 1

  26. Evaluate the following if x = 2, y = 3, a = 4/5, and b = 3/5.

  27. Evaluate the following if x = 2, y = 3, a = 4/5, and b = 3/5.

  28. Use Algebraic Expressions • Draw diagrams when possible. • Write an expression that represents what the question is asking you to find.

  29. Order of OperationsUsing Signed Numbers a) 12 + (-7)(2) Find the value of y for x= -4 b) y= -17-3x Find the value of y for x=4 c) y= 7-2x Find the value of y for x=-2 d) y= 7-3x = 12 + (-14) = -2 = -17 – 3(-4) = -17 +12 = -5 = 7 – 2(4) = 7 – 8 = -1 = 7 – 3(-2) = 7 +6 = 13

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