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Numbers are mathematical objects used to count, measure, and label. They include natural numbers like 1, 2, 3, whole numbers which are simply the counting numbers, integers which include positive and negative whole numbers, and rational numbers which can be expressed as fractions. Numbers are commonly represented by numerals and are used for more than just counting, such as with telephone numbers, serial numbers, and codes.
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- 2. NUMBER• A number is a mathematical object used to count, measure and label. The original examples are the natural numbers 1, 2, 3, and so forth. A notational symbol that represents a number is called a numeral. In addition to their use in counting and measuring, numerals are often used for labels (as with telephone numbers), for ordering (as with serial numbers), and for codes In common usage, the term number may refer to a symbol, a word or a mathematical abstraction.
- 4. NATURAL NUMBERS • A natural number is a number that occurs commonly and obviously in nature. As such, it is a whole, non-negative number. The set of natural numbers, denoted N, can be defined in either of two ways: N = {0, 1, 2, 3, ...}
- 5. WHOLE NUMBERS •Whole Numbers are simply the numbers 0, 1, 2, 3, 4, 5, ... (and so on)
- 6. INTEGERS • A number with no fractional part. Includes: • the counting numbers {1, 2, 3, ...}, • zero {0}, • and the negative of the counting numbers {-1, -2, -3, ...} We can write them all down like this: {..., -3, -2, -1, 0, 1, 2, 3, ...} Examples of integers: -16, -3, 0, 1, 198
- 7. RATIONALS • In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, p and q, with the denominator q not equal to zero. Since q may be equal to 1, every integer is a rational number.