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Representing Numbers - Position and Order Integers on a Number Line. . In Mathematics, the need for negative numbers arises from situations involving the difference between two whole numbers. An integer is a unit of distance between whole numbers. . Sometimes the difference between two whole numbers is not a positive number e.g. 5–7. Contexts in the real world that involve integers include money earned and money owed, temperatures above and below zero, elevation above and below ground level and