Problem 81
Question
State the name of the property illustrated. $$2(-8+6)=-16+12$$
Step-by-Step Solution
Verified Answer
The property illustrated in the expression is the Distributive Property.
1Step 1: Identify the Concept
Take the expression \(2(-8+6)=-16+12\). This expression involves both addition and multiplication.
2Step 2: 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.
3Step 3: 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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