Mathematics Unit 4 discusses operations with integers including addition, subtraction, multiplication, division, and powers. It explains that with addition and subtraction, integers of the same sign add and integers of opposite signs subtract. Multiplication and division follow sign rules where like signs multiply to a positive and opposite signs to a negative. Combined operations are completed following the order of operations with parentheses first. Powers with integers follow the rule that an integer raised to an even power is positive and an integer raised to an odd power is negative.