In Exercises 75–84, state the name of the property illustrated. 6+(2+7)=(6+2)+7

The Associative Property of Addition states that the way in which numbers are grouped in an addition operation does not affect the sum. This means that for any numbers a, b, and c, the equation (a + b) + c = a + (b + c) holds true. In the given example, 6 + (2 + 7) = (6 + 2) + 7 demonstrates this property by showing that regardless of how the numbers are grouped, the result remains the same.

The Commutative Property of Addition indicates that the order in which two numbers are added does not change the sum. For any numbers a and b, the equation a + b = b + a is valid. While the example provided does not directly illustrate this property, understanding it is essential for grasping the broader context of addition properties in algebra.

Properties of operations are fundamental rules that govern how mathematical operations behave. In addition, the two primary properties are the Associative and Commutative properties. Recognizing these properties helps simplify expressions and solve equations more efficiently, as they provide flexibility in how numbers can be combined.