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Chapter 0: Problem 81

State the name of the property illustrated. $$2(-8+6)=-16+12$$

Short Answer

Expert verified
The property illustrated in the expression is the Distributive Property.

Step by step solution

01

Identify the Concept

Take the expression \(2(-8+6)=-16+12\). This expression involves both addition and multiplication.
02

Compare the Structure

The equation has the format where multiplication is being distributed over addition in the format \(a(b + c) = ab + ac\). It is important to take note of this structure and its similarity to known properties of numbers.
03

Identify the Property

Upon recognition, this structure corresponds to the Distributive Property of multiplication over addition. And therefore, the property illustrated in this expression is the Distributive Property.

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