The symbol for the set of integers is Z.
In mathematics, specific symbols are used to represent different sets of numbers, making it easier to discuss and work with various number types. The symbol 'Z' for integers originates from the German word Zahlen, meaning "numbers."
Understanding Number Sets and Their Symbols
Number sets categorize different types of numbers that share common properties. The reference provided outlines several fundamental number sets:
| Name | Symbol | Set/Examples |
|---|---|---|
| Integers | Z | {...−1, −2, 0, 1, 2, ...} |
| Natural | N | 0, 1, 2, ... |
| Real | R | 15, √15, 0, −2 |
| Rational | Q | 15, 5/1 (=5), 2/3, 3/2, 0/3 (=0) |
As shown in the table, the set of integers (Z) includes all whole numbers and their negative counterparts, extending infinitely in both positive and negative directions. Unlike natural numbers (N), which typically start from 0 or 1 and go upwards, integers encompass both positive and negative whole numbers, as well as zero.
For more information on different types of numbers, you can refer to the Types of Numbers resource from Newcastle University.
