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Natural Numbers - Common counting numbers.
Prime Number - A natural number greater than 1 which has only 1 and itself as factors.
Composite Number - A natural number greater than 1 which has more factors than 1 and itself.
Whole Numbers - The set of Natural Numbers with the number 0 adjoined.
Integers - Whole Numbers with their opposites (negative numbers) adjoined.
Rational Numbers - All numbers which can be written as fractions.
Irrational Numbers - All numbers which cannot be written as fractions.
Real Numbers - The set of Rational Numbers with the set of Irrational Numbers adjoined.
Complex Number - A number which can be written in the form a + bi where a and b are real numbers and i is the square root of -1.
A general example to help you recognize patterns and spot the information you're looking for
Type of Number | Example |
Natural Numbers | $$N = 1, 2, 3, 4, ... $$ |
Prime Number | $$P = 2, 3, 5, 7, 11, 13, 17, … $$ |
Composite Number | $$4, 6, 8, 9, 10, 12, ...$$ |
Whole Numbers | $$W = 0, 1, 2, 3, 4, …$$ |
Integers | $$Z= …, -3, -2, -1, 0, 1, 2, 3, …$$ |
Rational Numbers | $$Q = -\frac{1}{2}, 0.33333…, \frac{5}{2}, \frac{11}{10}, … $$ |
Irrational Numbers | $$F = ..., \pi, \sqrt{2}, 0.121221222...$$ |
Real Numbers | $$R = ..., -3, -1, 0, \frac{1}{5}, 1.1, \sqrt{2}, 2, 3, \pi , …$$ |
Complex Number | $$C = ..., -3 + 2i, 0, 1 + 3i, …$$ |
Everyday. Numbers are included in all aspects of math.