Transcript THE REAL NUMBER SYSTEM

THE REAL
NUMBER
SYSTEM
IN ALGEBRA COUNTY
Venn
help ussets.
to
These diagrams
two sets are separate
picture sets of things.
Boys in school
Girls in school
Students in
Geometry
Students in
chorus
Students in
Geometry
Students in
both classes
Students in
chorus
Students in
the school
Female
Students
One set is inside the other.
Students in
the school
Female
Students
Integers
{...-3, -2, -1, 0, 1, 2, 3,…}
I
W
Whole Numbers
{0, 1, 2, 3,…}
I
W
Natural Numbers
{1, 2, 3,…}
N
IW
N
Rational Numbers
(all fractions)
2
3
Q
5
5
1
4
2
2
1
10
I
Q WN
Irrational Numbers
(all non-fractions)
Ir
This includes
•non-repeating, nonterminating decimals
•square roots that don’t
come out to be whole
numbers
•pi
Irrational Numbers
This includes
•non-repeating, non4.258922754...
terminating decimals
•square roots that don’t
8
come out to be whole
numbers
•pi

Real Numbers ( R)
Ir
Q I WN
Real Numbers
• Irrational Numbers
• Rational Numbers
–Integers
–Whole Numbers
–Natural Numbers
To which set(s) does this
number belong?
5
Real Numbers ( R)
Ir
Q I WN 5
To which set(s) does this
number belong?
-5
Real Numbers ( R)
Ir
Q I WN
-5
To which set(s) does this
number belong?
1
4
Real Numbers ( R)
Ir
Q I WN
1
4
To which set(s) does this
number belong?

Real Numbers ( R)

Ir
Q I WN
To which set(s) does this
number belong?
0
Real Numbers ( R)
Ir
Q I WN
0
The
End