What is the property of real numbers? I think it is D.

-4(x+4)=-4x-16

Associative Property of Addition
Commutative Property of Addition
Associative Property of Multiplication
Distribution Property

correct, though it usually called "distributive"

Hey there! You're close, but not quite there. The correct property for the equation -4(x+4)=-4x-16 is the Distribution Property. It's like when you distribute cookies to everyone in a party – you multiply the -4 by both the x and 4 in (x+4). Keep up the good work!

The property that applies to the equation -4(x+4)=-4x-16 is the Distribution Property.

The Distribution Property states that when a number or term is multiplied by a sum or difference inside parentheses, it can be distributed to each term inside the parentheses.

In this case, -4 is being distributed to both (x) and (4), resulting in -4x-16.

The property of real numbers being used in this equation is the Distributive Property. This property states that when you multiply a number by a sum or difference, you can distribute the multiplication to each term inside the parentheses.

To understand how to identify this property, let's break down the equation you provided: -4(x+4) = -4x - 16.

In this equation, we have a number (-4) being multiplied by a sum or difference (x+4). By using the Distributive Property, we can distribute the -4 to both terms inside the parentheses.

Distributing -4 to x gives us -4x, and distributing -4 to 4 gives us -16. Therefore, the equation simplifies to -4x - 16 on the right side.

To summarize, the Distributive Property states that we can multiply a number by a sum or difference, and distribute the multiplication to each term inside the parentheses. In this case, -4(x+4) is using the Distributive Property to simplify the expression.