State the name of the property illustrated.
\[
2(-4+5)=-8+10
\]
Associative
Distributive
Both associative and commutative
Commutative
Answer
Final Answer: The property illustrated is \(\boxed{\text{Distributive}}\).
Step 1 ：State the name of the property illustrated in the equation \(2(-4+5)=-8+10\).
Step 2 ：The given equation is illustrating the distributive property. The distributive property states that multiplication distributes over addition or subtraction.
Step 3 ：In the given equation, 2 is being multiplied with the sum of -4 and 5. This is equivalent to multiplying 2 with -4 and 2 with 5 separately, and then adding the results together.
Step 4 ：Therefore, the property being illustrated is the distributive property.
Step 5 ：Final Answer: The property illustrated is \(\boxed{\text{Distributive}}\).
