Students represent, compare, and order integers on a number line, identify opposites and additive inverses, and interpret absolute value as nonnegative distance from zero for integers and rational numbers. They add, subtract, multiply, and divide integers using sign rules, including the roles of zero and undefined division by zero, and represent non-exact quotients as rational numbers. They evaluate and solve multi-step numerical problems using grouping symbols, nonnegative integer exponents, and the conventional order of operations while interpreting signed quantities and checking results for reasonableness.