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

Question

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

Distributive Property
Distributive Property

Associative Property of Multiplication
Associative Property of Multiplication

Associative Property of Addition
Associative Property of Addition

Commutative Property of Addition

Answer 1

The equation \( 4(3+5) = 12 + 20 \) demonstrates the Distributive Property. This property states that \( a(b + c) = ab + ac \). In this case, \( 4(3+5) \) distributes the \( 4 \) to both \( 3 \) and \( 5 \), resulting in \( 4 \times 3 + 4 \times 5 \), which simplifies to \( 12 + 20 \).

So the correct response is:

Distributive Property.