Integer

Definition

An integer is a whole number, i.e., a number that can be expressed without a fractional or decimal component. Integers include positive whole numbers (such as 1, 2, 3), negative whole numbers (such as -1, -2, -3), and zero.

In mathematical terms, integers are members of the set of numbers denoted by the symbol Z, which stands for "integers". This set includes all the numbers that can be obtained by counting, such as the positive and negative whole numbers, as well as zero.

Integers are important in mathematics because they are a fundamental building block for many mathematical concepts and operations, including arithmetic, algebra, and number theory. They are also used in many real-world applications, such as measuring quantities, counting items, and representing temperatures on a Celsius or Fahrenheit scale.