Which property of operations should be applied first when adding 5(g+2)+3(h−4)

Question

?(1 point)
Responses

commutative property
commutative property - no response given

identity property
identity property - incorrect

distributive property
distributive property - no response given

associative property
associative property - no response given
Incorrect

Answer 1

In the expression \( 5(g+2) + 3(h-4) \), the first property of operations that should be applied is the distributive property. This property allows you to distribute the multiplication over addition inside the parentheses.

So, you would apply the distributive property to rewrite the expression as follows:

\[ 5(g + 2) = 5g + 10 \] \[ 3(h - 4) = 3h - 12 \]

Thus, the correct answer is distributive property.