Math 71 1.1 – Algebraic Expressions and Real Numbers 1.

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Presentation transcript:

Math – Algebraic Expressions and Real Numbers 1

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

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

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

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

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

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

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

10 algebraic expression

11 algebraic expression

12 algebraic expression equation

13 algebraic expression equation

14 algebraic expression equation

15 algebraic expression equation

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

17

18

19

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

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

23

24

25

26 set

27 set element

28 set element “is an element of”

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

30

31 set-builder notation

32 set-builder notation roster method

33

34 true

35 true

36 true

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

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

NameSetExamples Natural numbers Whole numbers Integers Rational numbers 39

NameSetExamples Natural numbers Whole numbers Integers Rational numbers 40

NameSetExamples Natural numbers Whole numbers Integers Rational numbers 41

NameSetExamples Natural numbers Whole numbers Integers Rational numbers 42

NameSetExamples Natural numbers Whole numbers Integers Rational numbers 43

NameSetExamples Natural numbers Whole numbers Integers Rational numbers 44

NameSetExamples Natural numbers Whole numbers Integers Rational numbers 45

NameSetExamples Natural numbers Whole numbers Integers Rational numbers 46

NameSetExamples Natural numbers Whole numbers Integers Rational numbers 47

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

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

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

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

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

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

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

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

NameExamples Irrational numbers Real numbers 56

NameExamples Irrational numbers Real numbers 57

NameExamples Irrational numbers Real numbers 58

59

60

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

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

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

64 ex: Write to make each statement true.

65 ex: Write to make each statement true.

66 ex: Write to make each statement true.

67 ex: Write to make each statement true.

68 ex: Write to make each statement true.

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

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

71 ex: True or false.

72 ex: True or false. true

73 ex: True or false. true

74 ex: True or false. true

75 ex: True or false. true false

76 ex: True or false. true false