Section 2-2
Order of Operations
Essential Question


✤   How do you evaluate numerical expressions using the order of
    operations?



✤   Where you’ll ...
Vocabulary
1. Numerical Expression:



2. Value:

3. Simplify:


4. Exponent:

5. Variable Expression:


6. Evaluate:
Vocabulary
1. Numerical Expression: Two or more numbers combined using the
    four operations (addition, subtraction, mul...
Vocabulary
1. Numerical Expression: Two or more numbers combined using the
    four operations (addition, subtraction, mul...
Vocabulary
1. Numerical Expression: Two or more numbers combined using the
    four operations (addition, subtraction, mul...
Vocabulary
1. Numerical Expression: Two or more numbers combined using the
    four operations (addition, subtraction, mul...
Vocabulary
1. Numerical Expression: Two or more numbers combined using the
    four operations (addition, subtraction, mul...
Vocabulary
1. Numerical Expression: Two or more numbers combined using the
    four operations (addition, subtraction, mul...
What is the Order of Operations?

  “Please Excuse My Dear Aunt Sally”
What is the Order of Operations?

   “Please Excuse My Dear Aunt Sally”

P: Parentheses
What is the Order of Operations?

   “Please Excuse My Dear Aunt Sally”

P: Parentheses
E: Exponents
What is the Order of Operations?

    “Please Excuse My Dear Aunt Sally”

P: Parentheses
E: Exponents

M and D: Multiplica...
What is the Order of Operations?

    “Please Excuse My Dear Aunt Sally”

P: Parentheses
E: Exponents

M and D: Multiplica...
What is the Order of Operations?

    “Golly, Excuse My Dear Aunt Sally”

G: Grouping symbols; parentheses, brackets, divi...
Example 1
           Simplify each numerical expression.

   a. 12 + (3g4)                       b. 16 − (5g2 )
Example 1
           Simplify each numerical expression.

   a. 12 + (3g4)                       b. 16 − (5g2 )
    = 12 +...
Example 1
           Simplify each numerical expression.

   a. 12 + (3g4)                       b. 16 − (5g2 )
    = 12 +...
Example 1
           Simplify each numerical expression.

   a. 12 + (3g4)                       b. 16 − (5g2 )
    = 12 +...
Example 1
           Simplify each numerical expression.

   a. 12 + (3g4)                       b. 16 − (5g2 )
    = 12 +...
Example 1
           Simplify each numerical expression.

   a. 12 + (3g4)                       b. 16 − (5g2 )
    = 12 +...
Example 1
            Simplify each numerical expression.

        2                                         2     3
  c. ...
Example 1
            Simplify each numerical expression.

        2                                         2     3
  c. ...
Example 1
            Simplify each numerical expression.

        2                                         2     3
  c. ...
Example 1
            Simplify each numerical expression.

        2                                         2     3
  c. ...
Example 1
            Simplify each numerical expression.

        2                                             2       3...
Example 1
            Simplify each numerical expression.

        2                                             2       3...
Example 1
            Simplify each numerical expression.

        2                                             2       3...
Example 2
                                                2
      Evaluate each variable expression for k =
              ...
Example 2
                                                 2
       Evaluate each variable expression for k =
            ...
Example 2
                                                 2
       Evaluate each variable expression for k =
            ...
Example 2
                                                 2
       Evaluate each variable expression for k =
            ...
Example 2
                                                 2
       Evaluate each variable expression for k =
            ...
Example 2
                                                 2
       Evaluate each variable expression for k =
            ...
Example 2
                                                 2
       Evaluate each variable expression for k =
            ...
Example 2
                                                 2
       Evaluate each variable expression for k =
            ...
Extra Credit Challenge


   Demonstrate that using only the number 2 and parentheses,
    exponents, the order of operatio...
Homework
Homework



                              p. 58 #1-30




“Do what you love, love what you do, leave the world a better pl...
Upcoming SlideShare
Loading in …5
×

Integrated 2 Section 2-2

775 views

Published on

Order of Operations

Published in: Education
0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total views
775
On SlideShare
0
From Embeds
0
Number of Embeds
20
Actions
Shares
0
Downloads
7
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

Integrated 2 Section 2-2

  1. 1. Section 2-2 Order of Operations
  2. 2. Essential Question ✤ How do you evaluate numerical expressions using the order of operations? ✤ Where you’ll see this: ✤ Part-time jobs, fitness, entertainment, population
  3. 3. Vocabulary 1. Numerical Expression: 2. Value: 3. Simplify: 4. Exponent: 5. Variable Expression: 6. Evaluate:
  4. 4. Vocabulary 1. Numerical Expression: Two or more numbers combined using the four operations (addition, subtraction, multiplication, and division) 2. Value: 3. Simplify: 4. Exponent: 5. Variable Expression: 6. Evaluate:
  5. 5. Vocabulary 1. Numerical Expression: Two or more numbers combined using the four operations (addition, subtraction, multiplication, and division) 2. Value: Another name for the answer of the numerical expression 3. Simplify: 4. Exponent: 5. Variable Expression: 6. Evaluate:
  6. 6. Vocabulary 1. Numerical Expression: Two or more numbers combined using the four operations (addition, subtraction, multiplication, and division) 2. Value: Another name for the answer of the numerical expression 3. Simplify: Finding the value of a numerical expression by applying the order of operations 4. Exponent: 5. Variable Expression: 6. Evaluate:
  7. 7. Vocabulary 1. Numerical Expression: Two or more numbers combined using the four operations (addition, subtraction, multiplication, and division) 2. Value: Another name for the answer of the numerical expression 3. Simplify: Finding the value of a numerical expression by applying the order of operations 4. Exponent: Tells how many times we multiply a number by itself 5. Variable Expression: 6. Evaluate:
  8. 8. Vocabulary 1. Numerical Expression: Two or more numbers combined using the four operations (addition, subtraction, multiplication, and division) 2. Value: Another name for the answer of the numerical expression 3. Simplify: Finding the value of a numerical expression by applying the order of operations 4. Exponent: Tells how many times we multiply a number by itself 5. Variable Expression: A collection of numbers and variables, combined using the four operations 6. Evaluate:
  9. 9. Vocabulary 1. Numerical Expression: Two or more numbers combined using the four operations (addition, subtraction, multiplication, and division) 2. Value: Another name for the answer of the numerical expression 3. Simplify: Finding the value of a numerical expression by applying the order of operations 4. Exponent: Tells how many times we multiply a number by itself 5. Variable Expression: A collection of numbers and variables, combined using the four operations 6. Evaluate: Substitute in for a variable, then simplify
  10. 10. What is the Order of Operations? “Please Excuse My Dear Aunt Sally”
  11. 11. What is the Order of Operations? “Please Excuse My Dear Aunt Sally” P: Parentheses
  12. 12. What is the Order of Operations? “Please Excuse My Dear Aunt Sally” P: Parentheses E: Exponents
  13. 13. What is the Order of Operations? “Please Excuse My Dear Aunt Sally” P: Parentheses E: Exponents M and D: Multiplication and Division as it appears from left to right
  14. 14. What is the Order of Operations? “Please Excuse My Dear Aunt Sally” P: Parentheses E: Exponents M and D: Multiplication and Division as it appears from left to right A and S: Addition and Subtraction as it appears from left to right
  15. 15. What is the Order of Operations? “Golly, Excuse My Dear Aunt Sally” G: Grouping symbols; parentheses, brackets, division bars, etc. E: Exponents M and D: Multiplication and Division as it appears from left to right A and S: Addition and Subtraction as it appears from left to right
  16. 16. Example 1 Simplify each numerical expression. a. 12 + (3g4) b. 16 − (5g2 )
  17. 17. Example 1 Simplify each numerical expression. a. 12 + (3g4) b. 16 − (5g2 ) = 12 + 12
  18. 18. Example 1 Simplify each numerical expression. a. 12 + (3g4) b. 16 − (5g2 ) = 12 + 12 = 24
  19. 19. Example 1 Simplify each numerical expression. a. 12 + (3g4) b. 16 − (5g2 ) = 12 + 12 = 16 − (5g2) = 24
  20. 20. Example 1 Simplify each numerical expression. a. 12 + (3g4) b. 16 − (5g2 ) = 12 + 12 = 16 − (5g2) = 24 = 16 − 10
  21. 21. Example 1 Simplify each numerical expression. a. 12 + (3g4) b. 16 − (5g2 ) = 12 + 12 = 16 − (5g2) = 24 = 16 − 10 =6
  22. 22. Example 1 Simplify each numerical expression. 2 2 3 c. -5g − (−3) 4 d. -(10-8) − 2
  23. 23. Example 1 Simplify each numerical expression. 2 2 3 c. -5g − (−3) 4 d. -(10-8) − 2 =-5g + 3 16
  24. 24. Example 1 Simplify each numerical expression. 2 2 3 c. -5g − (−3) 4 d. -(10-8) − 2 =-5g + 3 16 = −80 + 3
  25. 25. Example 1 Simplify each numerical expression. 2 2 3 c. -5g − (−3) 4 d. -(10-8) − 2 =-5g + 3 16 = −80 + 3 = −77
  26. 26. Example 1 Simplify each numerical expression. 2 2 3 c. -5g − (−3) 4 d. -(10-8) − 2 =-5g + 3 16 =-(2) − 22 3 = −80 + 3 = −77
  27. 27. Example 1 Simplify each numerical expression. 2 2 3 c. -5g − (−3) 4 d. -(10-8) − 2 =-5g + 3 16 =-(2) − 22 3 = −80 + 3 = −4 − 8 = −77
  28. 28. Example 1 Simplify each numerical expression. 2 2 3 c. -5g − (−3) 4 d. -(10-8) − 2 =-5g + 3 16 =-(2) − 22 3 = −80 + 3 = −4 − 8 = −77 = −12
  29. 29. Example 2 2 Evaluate each variable expression for k = 3 1 2 1 2 a. k b. k − k 2 3
  30. 30. Example 2 2 Evaluate each variable expression for k = 3 1 2 1 2 a. k b. k − k 2 3 2 1  2 = g   3 2
  31. 31. Example 2 2 Evaluate each variable expression for k = 3 1 2 1 2 a. k b. k − k 2 3 2 1  2 = g   3 2 1 4 = g 2 9
  32. 32. Example 2 2 Evaluate each variable expression for k = 3 1 2 1 2 a. k b. k − k 2 3 2 1  2 = g   3 2 1 4 = g 2 9 4 = 18
  33. 33. Example 2 2 Evaluate each variable expression for k = 3 1 2 1 2 a. k b. k − k 2 3 2 1  2 = g   3 2 1 4 = g 2 9 4 2 = = 18 9
  34. 34. Example 2 2 Evaluate each variable expression for k = 3 1 2 1 2 a. k b. k − k 2 3 2 2 1  2 1 2  2 = g   3 = g −  2 3 3  3 1 4 = g 2 9 4 2 = = 18 9
  35. 35. Example 2 2 Evaluate each variable expression for k = 3 1 2 1 2 a. k b. k − k 2 3 2 2 1  2 1 2  2 = g   3 = g −  2 3 3  3 1 4 2 4 = g = − 2 9 9 9 4 2 = = 18 9
  36. 36. Example 2 2 Evaluate each variable expression for k = 3 1 2 1 2 a. k b. k − k 2 3 2 2 1  2 1 2  2 = g   3 = g −  2 3 3  3 1 4 2 4 = g = − 2 9 9 9 4 2 2 = = =− 18 9 9
  37. 37. Extra Credit Challenge Demonstrate that using only the number 2 and parentheses, exponents, the order of operations, and the zero power, you can write expressions equal to each of the whole numbers from 1 through 10.
  38. 38. Homework
  39. 39. Homework p. 58 #1-30 “Do what you love, love what you do, leave the world a better place and don’t pick your nose.” - Jeff Mallett

×