Problem 81
Question
State the name of the property illustrated. $$2(-8+6)=-16+12$$
Step-by-Step Solution
Verified Answer
The property of real numbers illustrated in the equation \(2(-8+6)=-16+12\) is the Distributive Property.
1Step 1: Observe the Given Equation
First, examine the given equation \(2(-8 + 6) = -16 + 12\). Notice how the number 2 is being multiplied with both numbers inside the parentheses on the left-hand side.
2Step 2: Apply the Distributive Property
Now applying the Distributive Property, you can distribute 2 to both -8 and 6. Doing this, you get \(2 * -8 + 2 * 6\) which simplifies to \(-16 + 12\).
3Step 3: Identify the Property
Given that the equation remains balanced after distribution, it's clear that the property being used here is the Distributive Property of real numbers.
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