Integer values are whole numbers that can be positive, negative, or zero. They do not include fractions or decimals, making them straightforward to work with in various mathematical operations. Examples of integer values include -3, -2, -1, 0, 1, 2, 3. In mathematics, integers are often represented by the symbol Z, which comes from the German word "Zahlen," meaning "numbers." Integer values are used in many areas, including computer programming, statistics, and algebra, where they help in counting, ordering, and performing calculations without the complexity of fractional values.