This document summarizes Module 2 Lesson 9 on applying properties of operations to add and subtract rational numbers. The lesson covers using properties like the opposite of a sum is the sum of the opposites to simplify expressions into a single rational number. Examples are worked through step-by-step, applying properties like commutative, associative, and additive inverse. Students are asked to represent expressions as single rational numbers and explain their steps. The closing questions discuss how properties of operations help with rational number operations and if they could similarly help with multiplication and division.