A nonzero integer is any integer that is not equal to zero. Integers are whole numbers that can be either positive or negative, including zero. Therefore, nonzero integers include all positive integers (1, 2, 3, …) and all negative integers (-1, -2, -3, …).
For example, the numbers -5, -1, 1, and 10 are all nonzero integers because they do not equal zero. Understanding nonzero integers is important in various mathematical contexts, such as when defining subsets of numbers or when solving equations where zero might not be a valid option.