Integers

The integers are the set of real numbers consisting of the natural numbers, their additive inverses and zero: {..., –4, –3, –2, –1, 0, 1, 2, 3, 4, ...}. The set of integers is sometimes written J or Z for short. The sum, product, and difference of any two integers is also an integer.

But this is not true for division... just try 1 ÷ 2.

The Venn diagram below shows the relationships of the various sets of numbers.