Download Rational Numbers

Natural Numbers
Whole Numbers
Integers
Rational Numbers
E Birbeck 7/04
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Natural Numbers
Whole Numbers
Integers
Rational Numbers
E Birbeck 7/04
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A.K.A. Counting Numbers
1, 2, 3, 4, ...
Natural Numbers
Whole Numbers
Integers
Rational Numbers
E Birbeck 7/04
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A.K.A. Counting Numbers
0, 1, 2, 3, 4, ...
1, 2, 3, 4, ...
Natural Numbers
Whole Numbers
Integers
Rational Numbers
E Birbeck 7/04
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1, 2, 3, 4, ...
0, 1, 2, 3, 4, ...
Natural Numbers
Whole Numbers
Integers
1, 2, 3, 4, ...
0, 1, 2, 3, 4, …
-3, -2, -1, 0, 1, 2, 3, 4, …
Rational Numbers
E Birbeck 7/04
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Natural Numbers
1, 2, 3, 4, ...
Whole Numbers
Integers
0, 1, 2, 3, 4, …
-3, -2, -1, 0, 1, 2, 3, 4, …
Rational Numbers Any number that can be written as a fraction
All terminating or repeating decimals
can be written as a fraction
4 3 2
, , , 0.3,4.527,5.18, 9
2 4 3
E Birbeck 7/04
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4
2
2
0
0
7
4
  2
2
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
All terminating or repeating decimals
can be written as a fraction
4 3 2
, , , 0.3,4.527,5.18, 9
2 4 3
E Birbeck 7/04
[email protected]
1
0.3 
3
0.27
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
All terminating or repeating decimals
can be written as a fraction
4 3 2
, , , 0.3,4.527,5.18, 9
2 4 3
E Birbeck 7/04
[email protected]
Let x = 0.27
Then 100 x = 27.27
100 x = 27.27
- x = 0.27
99 x = 27
99 x = 27
99
99
x = 27
99
Rational Numbers Any number that can be written as a fraction
E Birbeck 7/04
[email protected]
All terminating or repeating decimals
can be written as a fraction
Let x = 0.27
Then 100 x = 27.27
100 x = 27.27
- x = 0.27
99 x = 27
99 x = 27
3
0.27 =
11
99
99
x = 27
99
3

9
x =
11• 9
1
3
x =
11
E Birbeck 7/04
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1
0.3 
3
3
0.27 
11
0.19
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
All terminating or repeating decimals
can be written as a fraction
4 3 2
, , , 0.3,4.527,5.18, 9
2 4 3
E Birbeck 7/04
[email protected]
1
0.3 
3
3
0.27 
11
19
0.19 
100
16  4
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
All terminating or repeating decimals
can be written as a fraction
4 3 2
, , , 0.3,4.527,5.18, 9
2 4 3
E Birbeck 7/04
[email protected]
Natural Numbers
1, 2, 3, 4, ...
Whole Numbers
Integers
0, 1, 2, 3, 4, …
-3, -2, -1, 0, 1, 2, 3, 4, …
Rational Numbers
4 3 2
, , , 0.3,4.527,5.18, 9
2 4 3
E Birbeck 7/04
[email protected]
Natural Numbers 1, 2, 3, 4, ...
1.
Whole Numbers 0, 1, 2, 3, 4, …
Integers -3, -2, -1, 0, 1, 2, 3, 4, …
Rational Numbers
4 3 2
, , , 0.3,4.527,5.18, 9
2 4 3
E Birbeck 7/04
[email protected]
List all the number sets
each belong
4
9
Rational Numbers
Natural Numbers 1, 2, 3, 4, ...
2.
Whole Numbers 0, 1, 2, 3, 4, …
Integers -3, -2, -1, 0, 1, 2, 3, 4, …
Rational Numbers
4 3 2
, , , 0.3,4.527,5.18, 9
2 4 3
E Birbeck 7/04
[email protected]
List all the number sets
each belong
Integers
8
Rational Numbers
Natural Numbers 1, 2, 3, 4, ...
2.
Whole Numbers 0, 1, 2, 3, 4, …
Integers -3, -2, -1, 0, 1, 2, 3, 4, …
Rational Numbers
4 3 2
, , , 0.3,4.527,5.18, 9
2 4 3
E Birbeck 7/04
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List all the number sets
each belong
Natural Numbers
4
Whole Numbers
Integers
Rational Numbers
Write the fraction as a decimal.
5
1.
6
4
2. 
9
7
3.
4
Write the decimal as a fraction.
4. 0.6
E Birbeck 7/04
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5. 0.57 6. 0.3333
Rational Numbers
(Any number that can be written as a fraction )
4 3 2
, , , 0.3,4.527,5.18, 9
2 4 3
Integers
-3, -2, -1, 0, 1, 2, 3, 4, …
Natural Numbers
Whole Numbers
E Birbeck 7/04
[email protected]
1, 2, 3, 4, ...
0, 1, 2, 3, 4, …