The document discusses the importance of the order of operations when performing calculations. It provides examples of how different people could obtain different answers for the same calculation if an order of operations was not followed consistently. Having a set order of operations ensures that everyone "speaks the same language" when solving equations.

1. 1.4
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of
Operations
MATH1003

2. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Goal
To correctly follow the order of operations
when performing calculations.
MATH1003

3. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
MATH1003

4. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
What is the value of
1+2•3-4
MATH1003

5. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
What is the value of
1+2•3-4
MATH1003
3

6. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
What is the value of
(1 + 2) • 3 - 4
MATH1003

7. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
What is the value of
(1 + 2) • 3 - 4
MATH1003
5

8. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
What is the value of
1 + 2 • (3 - 4)
MATH1003

9. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
What is the value of
1 + 2 • (3 - 4)
MATH1003
-1

10. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
MATH1003

11. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Why do we need to have rules regarding the
“order of operations”?
MATH1003

12. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Why do we need to have rules regarding the
“order of operations”?
So that we can consistenty “talk” the same
language with regards to solving equations.
MATH1003

13. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
MATH1003

14. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Imagine if we didn’t have an “order of operations”…
MATH1003

15. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Imagine if we didn’t have an “order of operations”…
Person A: 8 - 5 + 2 • 3 = 15
Person B: 8 - 5 + 2 • 3 = 3
Person C: 8 - 5 + 2 • 3 = -3
Person D: 8 - 5 + 2 • 3 = 9
MATH1003

16. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Imagine if we didn’t have an “order of operations”…
Person A: 8 - 5 + 2 • 3 = 15
Person B: 8 - 5 + 2 • 3 = 3
Person C: 8 - 5 + 2 • 3 = -3
Person D: 8 - 5 + 2 • 3 = 9
Who has the correct answer?
MATH1003

17. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Imagine if we didn’t have an “order of operations”…
Person A: 8 - 5 + 2 • 3 = 15
Person B: 8 - 5 + 2 • 3 = 3
Person C: 8 - 5 + 2 • 3 = -3
Person D: 8 - 5 + 2 • 3 = 9
Who has the correct answer?
MATH1003

18. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
went left to right
Imagine if we didn’t have an “order of operations”…
Person A: 8 - 5 + 2 • 3 = 15
Person B: 8 - 5 + 2 • 3 = 3
Person C: 8 - 5 + 2 • 3 = -3
Person D: 8 - 5 + 2 • 3 = 9
Who has the correct answer?
MATH1003

19. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Imagine if we didn’t have an “order of operations”…
Person A: 8 - 5 + 2 • 3 = 15
Person B: 8 - 5 + 2 • 3 = 3
Person C: 8 - 5 + 2 • 3 = -3
Person D: 8 - 5 + 2 • 3 = 9
Who has the correct answer?
MATH1003

20. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
added 5 and 2
Imagine if we didn’t have an “order of operations”…
(=7), subtracted that
from 8 (=1), multiplied
by 3
Person A: 8 - 5 + 2 • 3 = 15
Person B: 8 - 5 + 2 • 3 = 3
Person C: 8 - 5 + 2 • 3 = -3
Person D: 8 - 5 + 2 • 3 = 9
Who has the correct answer?
MATH1003

21. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Imagine if we didn’t have an “order of operations”…
Person A: 8 - 5 + 2 • 3 = 15
Person B: 8 - 5 + 2 • 3 = 3
Person C: 8 - 5 + 2 • 3 = -3
Person D: 8 - 5 + 2 • 3 = 9
Who has the correct answer?
MATH1003

22. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Imagine if we didn’t have an “order of operations”…3
multiplied 2 and
(=6), added that to 5
(=11), and subtracted
Person A: 8 - 5 + 2 • 3 = 15 that from 8
Person B: 8 - 5 + 2 • 3 = 3
Person C: 8 - 5 + 2 • 3 = -3
Person D: 8 - 5 + 2 • 3 = 9
Who has the correct answer?
MATH1003

23. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Imagine if we didn’t have an “order of operations”…
Person A: 8 - 5 + 2 • 3 = 15
Person B: 8 - 5 + 2 • 3 = 3
Person C: 8 - 5 + 2 • 3 = -3
Person D: 8 - 5 + 2 • 3 = 9
Who has the correct answer?
MATH1003

24. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Imagine if we didn’t have an “order of operations”…
multiplied 2 and 3
Person A: 8 - 5 + 2 • 3 = 15 subtracted 5 from
(=6),
Person B: 8 - 5 + 2 • 3 = 38 (=3), added that to 6
Person C: 8 - 5 + 2 • 3 = -3
Person D: 8 - 5 + 2 • 3 = 9
Who has the correct answer?
MATH1003

25. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Imagine if we didn’t have an “order of operations”…
Person A: 8 - 5 + 2 • 3 = 15
Person B: 8 - 5 + 2 • 3 = 3
Person C: 8 - 5 + 2 • 3 = -3
Person D: 8 - 5 + 2 • 3 = 9
Who has the correct answer?
MATH1003

26. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Imagine if we didn’t have an “order of operations”…
Person A: 8 - 5 + 2 • 3 = 15
X
Person B: 8 - 5 + 2 • 3 = X
3
Person C: 8 - 5 + 2 • 3 = -3
X
Person D: 8 - 5 + 2 • 3 = 9 √
Who has the correct answer?
MATH1003

27. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
MATH1003

28. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
MATH1003

29. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
MATH1003

30. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
MATH1003

31. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

32. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
PEDMAS
1. Parentheses (brackets) (from the inside out)
or
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
BEDMAS
MATH1003

33. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
((5 + 3) + ((2 - 4) + 7))
MATH1003

34. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
((5 + 3) + ((2 - 4) + 7))
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

35. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
((5 + 3) + ((2 - 4) + 7))
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

36. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
((5 + 3) + ((2 - 4) + 7))
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

37. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
((5 + 3) + ((2 - 4) + 7))
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

38. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
((5 + 3) + ((-2) + 7))
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

39. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
((5 + 3) + (-2 + 7))
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

40. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
((5 + 3) + (-2 + 7))
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

41. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
((5 + 3) + (-2 + 7))
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

42. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
((5 + 3) + (5))
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

43. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
((5 + 3) + 5)
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

44. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
((5 + 3) + 5)
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

45. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
((5 + 3) + 5)
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

46. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
((8) + 5)
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

47. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
(8 + 5)
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

48. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
(8 + 5)
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

49. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
(8 + 5)
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

50. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
(13)
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

51. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
13
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

52. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
2 43
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

53. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
2 43
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

54. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
2 43
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

55. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
2 64
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

56. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
2 64
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

57. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
18446744073709551616
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

58. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

59. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
(2 4)3
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

60. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
(2 4)3
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

61. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
(2 4)3
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

62. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
3
(16)
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

63. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
3
16
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

64. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
3
16
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

65. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
4096
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

66. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
2 3 -4•3
MATH1003

67. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
2 3 -4•3
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

68. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
2 3 -4•3
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

69. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
2 3 -4•3
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

70. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
2 3 -4•3
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

71. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
8-4•3
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

72. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
8-4•3
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

73. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
8-4•3
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

74. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
8 - 12
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

75. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
8 - 12
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

76. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
-4
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

77. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
2 3 - 4 • 3 = -4
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

78. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

79. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
3• 2 2 + (2 3)2
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

80. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
3• 2 2 + (2 3)2
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

81. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
3• 2 2 + (2 3)2
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

82. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
3• 2 2 + (8) 2
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

83. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
3• 2 2 + 8 2
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

84. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
3• 2 2 + 8 2
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

85. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
3•4+ 8 2
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

86. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
3 • 4 + 64
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

87. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
3 • 4 + 64
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

88. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
3 • 4 + 64
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

89. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
12 + 64
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

90. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
12 + 64
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

91. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
76
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

92. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
3• 2 2 + (2 3)2 = 76
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003

93. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
MATH1003

94. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
MATH1003

95. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
2 3 - 3 • 4
MATH1003

96. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
2 3 - 3 • 4
MATH1003
-4

97. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
2 3 - 3 • 4
MATH1003
-4

98. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
8 - 3 • 4
MATH1003
-4

99. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
8 - 3 • 4
MATH1003
-4

100. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
8 - 12
MATH1003
-4

101. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
8 - 12
MATH1003
-4

102. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
-4
MATH1003
-4

103. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
2 3 - 3 • 4 = -4
MATH1003
-4

104. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
MATH1003

105. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • (2 + 3 • (5 - 1)) + 4
MATH1003

106. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • (2 + 3 • (5 - 1)) + 4
MATH1003
74

107. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • (2 + 3 • (5 - 1)) + 4
MATH1003
74

108. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • (2 + 3 • (4)) + 4
MATH1003
74

109. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • (2 + 3 • 4) + 4
MATH1003
74

110. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • (2 + 3 • 4) + 4
MATH1003
74

111. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
inside these
brackets we have to
follow the “order of
operations”
5 • (2 + 3 • 4) + 4
MATH1003
74

112. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • (2 + 3 • 4) + 4
MATH1003
74

113. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • (2 + 12) + 4
MATH1003
74

114. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • (2 + 12) + 4
MATH1003
74

115. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • (14) + 4
MATH1003
74

116. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • 14 + 4
MATH1003
74

117. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • 14 + 4
MATH1003
74

118. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
70 + 4
MATH1003
74

119. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
70 + 4
MATH1003
74

120. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
74
MATH1003
74

121. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • (2 + 3 • (5 - 1)) + 4 = 74
MATH1003
74

122. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
(3 + (5 - 2 • (1 + 2))) - 1
MATH1003

123. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
(3 + (5 - 2 • (1 + 2))) - 1
MATH1003
1

124. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
(3 + (5 - 2 • (1 + 2))) - 1
1
= (3 + (5 - 2 • (3))) - 1
= (3 + (5 - 2 • 3)) - 1
= (3 + (5 - 6)) - 1
= (3 + (-1)) - 1
= (2) - 1
=1
MATH1003

125. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
Place brackets to make the expression correct
8+3-5+4-2= 0
MATH1003

126. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
Place brackets to make the expression correct
8 + 3 - (5 + 4) - 2 = 0
MATH1003

127. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
Place brackets to make the expression correct
8+3-5+4-2= 4
MATH1003

128. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
Place brackets to make the expression correct
8 + 3 - (5 + 4 - 2) = 4
MATH1003

129. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
Which of these has the greatest result?
a) 7 - (4 / 2) + 8
b) 7 - 4 / (2 + 8)
c) (7 - 4) / 2 + 8 C 13.5
MATH1003

130. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
Which of these has the smallest result?
a) 5 - - 9) / 3 (2 3
b) (5 - 2 3) - 9 / 3
c) 5 - (2 3 - 9 / 3)
B -6
MATH1003