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Math 71 1.1 – Algebraic Expressions and Real Numbers 1.

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Presentation on theme: "Math 71 1.1 – Algebraic Expressions and Real Numbers 1."— Presentation transcript:

1 Math 71 1.1 – Algebraic Expressions and Real Numbers 1

2 A letter used to represent various numbers is called a _________________. ex: A letter used to represent a particular number is called a _________________. ex: 2

3 A letter used to represent various numbers is called a _________________. ex: A letter used to represent a particular number is called a _________________. ex: 3 variable

4 A letter used to represent various numbers is called a _________________. ex: A letter used to represent a particular number is called a _________________. ex: 4 variable

5 A letter used to represent various numbers is called a _________________. ex: A letter used to represent a particular number is called a _________________. ex: 5 variable constant

6 A letter used to represent various numbers is called a _________________. ex: A letter used to represent a particular number is called a _________________. ex: 6 variable constant

7 A letter used to represent various numbers is called a _________________. ex: A letter used to represent a particular number is called a _________________. ex: 7 variable constant

8 A letter used to represent various numbers is called a _________________. ex: A letter used to represent a particular number is called a _________________. ex: 8 variable constant

9 9

10 10 algebraic expression

11 11 algebraic expression

12 12 algebraic expression equation

13 13 algebraic expression equation

14 14 algebraic expression equation

15 15 algebraic expression equation

16 ex: Four times the sum of 3 and a number. 16

17 17

18 18

19 19

20 sum plus increased by more than added to difference minus decreased by less than subtracted from product times of twice quotient divide per ratio 20

21 sum plus increased by more than added to difference minus decreased by less than subtracted from product times of twice quotient divide per ratio 21

22 22

23 23

24 24

25 25

26 26 set

27 27 set element

28 28 set element “is an element of”

29 29 set element “is an element of” “is not an element of”

30 30

31 31 set-builder notation

32 32 set-builder notation roster method

33 33

34 34 true

35 35 true

36 36 true

37 37 true Professor Beydler’s doing an amazing job teaching so far. ___________

38 38 true Professor Beydler’s doing an amazing job teaching so far. ___________ true!

39 NameSetExamples Natural numbers Whole numbers Integers Rational numbers 39

40 NameSetExamples Natural numbers Whole numbers Integers Rational numbers 40

41 NameSetExamples Natural numbers Whole numbers Integers Rational numbers 41

42 NameSetExamples Natural numbers Whole numbers Integers Rational numbers 42

43 NameSetExamples Natural numbers Whole numbers Integers Rational numbers 43

44 NameSetExamples Natural numbers Whole numbers Integers Rational numbers 44

45 NameSetExamples Natural numbers Whole numbers Integers Rational numbers 45

46 NameSetExamples Natural numbers Whole numbers Integers Rational numbers 46

47 NameSetExamples Natural numbers Whole numbers Integers Rational numbers 47

48 All rational #’s can be written as _____________________ that either ____________________ or ___________________. ex: 48

49 All rational #’s can be written as _____________________ that either ____________________ or ___________________. ex: 49 decimals

50 All rational #’s can be written as _____________________ that either ____________________ or ___________________. ex: 50 decimals terminaterepeat

51 All rational #’s can be written as _____________________ that either ____________________ or ___________________. ex: 51 decimals terminaterepeat

52 All rational #’s can be written as _____________________ that either ____________________ or ___________________. ex: 52 decimals terminaterepeat

53 A number whose decimal neither terminates nor repeats is called an _______________________. The rational numbers and irrational numbers together make the ______________________ set. 53

54 A number whose decimal neither terminates nor repeats is called an _______________________. The rational numbers and irrational numbers together make the ______________________ set. 54 irrational number

55 A number whose decimal neither terminates nor repeats is called an _______________________. The rational numbers and irrational numbers together make the ______________________ set. 55 real number irrational number

56 NameExamples Irrational numbers Real numbers 56

57 NameExamples Irrational numbers Real numbers 57

58 NameExamples Irrational numbers Real numbers 58

59 59

60 60

61 On the number line, numbers get __________________ as you go to the ____________________, and __________________ as you go to the ____________________. 61

62 On the number line, numbers get __________________ as you go to the ____________________, and __________________ as you go to the ____________________. 62 bigger right

63 On the number line, numbers get __________________ as you go to the ____________________, and __________________ as you go to the ____________________. 63 bigger right smaller left

64 64 ex: Write to make each statement true.

65 65 ex: Write to make each statement true.

66 66 ex: Write to make each statement true.

67 67 ex: Write to make each statement true.

68 68 ex: Write to make each statement true.

69 69 ex: Write to make each statement true. The inequality symbols are ____________________________.

70 70 ex: Write to make each statement true. The inequality symbols are ____________________________.

71 71 ex: True or false.

72 72 ex: True or false. true

73 73 ex: True or false. true

74 74 ex: True or false. true

75 75 ex: True or false. true false

76 76 ex: True or false. true false


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