This study guide provides examples and step-by-step instructions for performing basic arithmetic operations involving negative numbers, including: 1) Adding negatives by simplifying expressions, removing brackets, and treating a plus and minus sign together as subtraction. 2) Multiplying negatives by applying the rules that a negative times a negative is a positive, and a negative times a positive is a negative. 3) Subtracting negatives by simplifying, treating two minus signs together as addition, and a minus and plus sign together as subtraction. 4) Dividing negatives is also discussed but no examples or steps are provided.