Problem

State the name of the property illustrated. \[ 2(-3+8)=-6+16 \] Both associative and commutative Commutative Associative Distributive

Solution

Step 1 :State the name of the property illustrated in the equation \(2(-3+8)=-6+16\).

Step 2 :The given equation is an example of the distributive property. The distributive property states that the product of a number and the sum of two or more numbers is equal to the sum of the products of the number and each of the addends.

Step 3 :In this case, 2 is being multiplied by the sum of -3 and 8, and this is equal to the sum of 2 multiplied by -3 and 2 multiplied by 8.

Step 4 :Therefore, the property being illustrated is the distributive property.

Step 5 :Final Answer: The property illustrated is \(\boxed{\text{Distributive Property}}\).

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Source: https://solvelyapp.com/problems/18914/

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