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

?(1 point)
Responses

associative property
associative property

identity property
identity property

commutative property
commutative property

distributive property

1 answer

In the expression \(5(g + 2) + 3(h - 4)\), the first property of operations that should be applied is the distributive property. This property will be used to distribute the 5 and 3 across the terms in the parentheses:

  1. For \(5(g + 2)\), apply the distributive property to get \(5g + 10\).
  2. For \(3(h - 4)\), apply the distributive property to get \(3h - 12\).

After applying the distributive property, you can then combine like terms if necessary.