Define a whole number.

A whole number is a non-negative integer, including zero, without any fractional or decimal part.

Whole numbers are the set of numbers that start from zero and go on infinitely in the positive direction. They include numbers like 0, 1, 2, 3, and so on. These numbers are used in everyday counting and are fundamental in basic arithmetic operations such as addition, subtraction, multiplication, and division.

In mathematical terms, whole numbers are represented by the symbol \( \mathbb{W} \). This set can be written as \( \mathbb{W} = \{0, 1, 2, 3, \ldots\} \). It's important to note that whole numbers do not include negative numbers, fractions, or decimals. For example, -1, 1.5, and 2.75 are not whole numbers.

Understanding whole numbers is crucial because they form the basis for more complex mathematical concepts. When you first learn to count, you are essentially learning whole numbers. They are also used in various real-life situations, such as counting objects, telling time, and measuring quantities.

In summary, whole numbers are simple yet essential elements in mathematics, providing a foundation for more advanced topics and practical applications.