Consider the following equation: 4(3+5)=12+20

. This is an application of which property of operations?(1 point)
Responses

Associative Property of Addition
Associative Property of Addition

Commutative Property of Addition
Commutative Property of Addition

Distributive Property
Distributive Property

Associative Property of Multiplication

1 answer

The equation \( 4(3+5) = 12+20 \) is an application of the Distributive Property. This property states that when you multiply a number by a sum, you can distribute the multiplication to each addend within the parentheses. In this case, \( 4(3+5) \) can be distributed as \( 4 \cdot 3 + 4 \cdot 5 \), resulting in \( 12 + 20 \).

So the correct response is: Distributive Property.