Thursday, March 10, 2011

Various of Rational Numbers

1. Rational Numbers consists of:  
The set of negative fractions: {..., -2 / 3, -1 / 5, -3 / 7, ...}
The set of positive fractions: {..., -2 / 3, 1 / 5, 3 / 7, ...}
Numbers zero: {0}
The set of negative integers: {..., -4, -3, -2, -1}
The set of positive integers: {..., 1, 2, 3, 4, 5, 6, 7, ...}
 

2. Integer consists of:
Negative integers: {..., -4, -3, -2, -1}
Integer zero: {0}
Positive integers: {..., 1, 2, 3, 4, 5, 6, 7, ...}

3. Numbers Count: {1, 2, 3, 4, 5, 6, 7, ...}
4. Original Numbers: {1, 2, 3, 4, 5, 6, 7, ...}
5. Even Numbers: {0, 2, 4, 6, 8, ...}
6. Odd Numbers: {1, 3, 5, 7, 9, 11, ...}

7. Prime Numbers:
Is the natural numbers which have a place 2 factors 1 and the number itself and 1 does not include prime numbers.
Examples and Evidence primes:


Natural Numbers
The Set of Factors
Total of Factors
1
2
3
9
17
36
57
83
90
{1}
{1, 2}
{1, 3}
{1, 3, 9}
{1, 17}
{1, 2, 3, 4, 6, 9, 12, 18, 36}
{1, 3, 19, 57}
{1, 83}
{1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90}
1
2
2
3
2
9
4
2
12

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