Download Real Number System

Subset
 A set contained within another set is called a SUBSET!
Set
Subset
The Real Number System
The Real Number System is separated into two parts:
Rational Numbers
• A subset of the Real
Number System where
numbers either:
– Terminate (end),
– Repeat or
– Can be written as a
fraction
• Examples: 5.34, 45%,
0.131313..., 2/3, 9
The Real Number System
Rational Numbers
45%
5.34
Irrational
Numbers
9
0.101101110…
0.131313…
The Real Number System
Continued
 Integers:
 A subset of Rational Numbers that
includes only positive and negative whole
numbers.
 Examples:
{…-3, -2, -1, 0, 1, 2, 3, …}
The Real Number System
Rational Numbers
45%
5.34
-212
0
Integers
Irrational
Numbers
-4
9
12
-1
2
0.131313…
0.101101110…
The Real Number System
Continued
 Whole Numbers:
 A subset of Integers that includes only
positive numbers and zero
 Examples:
{0, 1, 2, 3, …}
The Real Number System
Rational Numbers
45%
5.34
-212
Integers
Irrational
Numbers
-4
Whole Numbers
0
12
9
2
0.131313…
-1
0.101101110…
The Real Number System
Continued
 Natural Numbers (Counting Numbers):
 A subset of Whole Numbers that includes only
the ‘counting numbers’ starting at 1
 Examples:
{1, 2, 3, …}
The Real Number System
Rational Numbers
45%
5.34
-212
Integers
Irrational
Numbers
-4
Whole Numbers
0
Natural Numbers
12
9
2
0.131313…
-1
0.101101110…
Subset
 Set B is a subset of Set A.
 Every item in Set B is also
part of Set A.
 Examples:
 A: Solar System
 B: Planets
Set A
Set B
Every planet is in the solar
system, but not everything
in the solar system is a
planet.
Set A
Set B
Distinct Sets
 Sets A and B have no elements in common.
 Examples:
 A: WMS Teachers
 B: WMS Students
There are no WMS Teachers who are WMS students
and vice versa.
Remember: We are talking about things in the sets, not
characteristics of the sets.
.
Which Venn Diagram matches?
Set 1: TV Star
Set 2: Movie Star
A.
C.
B.
D.
.
Which Venn Diagram matches?
Set 1: Mammals
Set 2: Reptiles
A.
C.
B.
D.
.
Which Venn Diagram matches?
Set 1: Mammals
Set 2: Bears
A.
C.
B.
D.
.
Which Venn Diagram matches?
Set 1: Pop
Set 2: Beverages
A.
C.
B.
D.
.
Which Venn Diagram matches?
Set 1: Jazz
Set 2: Music
A.
C.
B.
D.
.
Which Venn Diagram matches?
Set 1: Bears
Set 2: Mice
A.
C.
B.
D.
.
Which Venn Diagram matches?
Set 1: Fish
Set 2: Guppies
A.
C.
B.
D.
.
Which Venn Diagram matches?
Set 1: Huskies
Set 2: Dogs
A.
C.
B.
D.