E Birbeck 7/04

1
Sets of Numbers
Natural Numbers
Whole Numbers
Integers
Rational Numbers
2
Sets of Numbers
Natural Numbers
A.K.A. Counting Numbers
1, 2, 3, 4, ...
Whole Numbers
Integers
Rational Numbers
3
Sets of Numbers
Natural Numbers
A.K.A. Counting Numbers
1, 2, 3, 4, ...
Whole Numbers
0, 1, 2, 3, 4, ...
Integers
Rational Numbers
4
Sets of Numbers
1, 2, 3, 4, ...
Natural Numbers
Whole Numbers
0, 1, 2, 3, 4, ...
Integers
Rational Numbers
5
Sets of Numbers
1, 2, 3, 4, ...
Natural Numbers
Whole Numbers
0, 1, 2, 3, 4,
Integers
-3, -2, -1, 0, 1, 2, 3, 4,
Rational Numbers
6
Sets of Numbers
1, 2, 3, 4, ...
Natural Numbers
Whole Numbers
0, 1, 2, 3, 4,
Integers
-3, -2, -1, 0, 1, 2, 3, 4,
Rational Numbers
Any number that can be written as a fraction
note
All terminating or repeating decimals
can be written as a fraction
7
Sets of Numbers
Whole Numbers, Natural Numbers, and Integers are
all members of the set of Rational Numbers
Rational Numbers
Any number that can be written as a fraction
note
All terminating or repeating decimals
can be written as a fraction
8
Sets of Numbers
Whole Numbers, Natural Numbers, and Integers are
all members of the set of Rational Numbers
Rational Numbers
Any number that can be written as a fraction
note
All terminating or repeating decimals
can be written as a fraction
9
Sets of Numbers

Let x
100 x
-
Then 100 x

x
99 x

99 x

99
99
x

99
Rational Numbers
Any number that can be written as a fraction
All terminating or repeating decimals
can be written as a fraction
10

Let x
100 x
-
Then 100 x

x
99 x

99 x

99
99

x

99
1
x

11 9
11
Sets of Numbers
Whole Numbers, Natural Numbers, and Integers are
all members of the set of Rational Numbers
Rational Numbers
Any number that can be written as a fraction
note
All terminating or repeating decimals
can be written as a fraction
12
Sets of Numbers
Whole Numbers, Natural Numbers, and Integers are
all members of the set of Rational Numbers
Rational Numbers
Any number that can be written as a fraction
note
All terminating or repeating decimals
can be written as a fraction
13
Sets of Numbers
1, 2, 3, 4, ...
Natural Numbers
Whole Numbers
0, 1, 2, 3, 4,
Integers
-3, -2, -1, 0, 1, 2, 3, 4,
Rational Numbers
14
Sets of Numbers
List all the number sets each belong
Natural Numbers
1, 2, 3, 4, ...
1.
Whole Numbers
0, 1, 2, 3, 4,
Rational Numbers
Integers
-3, -2, -1, 0, 1, 2, 3, 4,
Rational Numbers
15
Sets of Numbers
List all the number sets each belong
Natural Numbers
1, 2, 3, 4, ...
Integers
2.
Whole Numbers
0, 1, 2, 3, 4,
Rational Numbers
Integers
-3, -2, -1, 0, 1, 2, 3, 4,
Rational Numbers
16
Sets of Numbers
List all the number sets each belong
Natural Numbers
1, 2, 3, 4, ...
Natural Numbers
2.
Whole Numbers
0, 1, 2, 3, 4,
Whole Numbers
Integers
-3, -2, -1, 0, 1, 2, 3, 4,
Integers
Rational Numbers
Rational Numbers
17
Sets of Numbers
Write the fraction as a decimal.
1.
2.
3.
Write the decimal as a fraction.
4.
5.
6.
18
Sets of Numbers
Rational Numbers
(Any number that can be written as a fraction )
Integers
-3, -2, -1, 0, 1, 2, 3, 4,
Natural Numbers
1, 2, 3, 4, ...
Whole Numbers
0, 1, 2, 3, 4,