Integers are the positive and negative whole numbers and zero on the number line. The document outlines the rules for adding, subtracting, multiplying, and dividing integers. It discusses that the sum of two positives or negatives is always positive or negative, respectively, and the sum of a positive and negative could be any of those. For multiplication and division, the product and quotient of two numbers with the same sign is positive, and different signs is negative. It also discusses squares and cubes of integers and provides examples of integers in real life.