Integer operations refer to the basic mathematical processes involving whole numbers, which can be positive, negative, or zero. The primary operations include addition, subtraction, multiplication, and division. Each operation follows specific rules, such as the commutative property for addition and multiplication, which states that the order of the numbers does not affect the result. When performing integer operations, it is essential to consider the signs of the numbers involved. For example, adding two negative integers results in a more negative integer, while multiplying two negative integers yields a positive integer. Understanding these rules helps in solving problems involving integers effectively.