Which property of operation should be applied first when adding

Question

5(g+2)+3(h-4)
A. Distributive
B.identity
C. Commutative
D. Associative

Answer 1

The property that should be applied first in the expression \( 5(g+2)+3(h-4) \) is the Distributive Property (Option A). This property allows you to distribute the coefficients (5 and 3) across the terms inside the parentheses before performing any other operations.

So, you would distribute 5 to \( g \) and 2, and 3 to \( h \) and -4.

The steps would look like this:

1. Apply the Distributive Property: \[ 5(g+2) = 5g + 10 \] \[ 3(h-4) = 3h - 12 \]

2. Combine the results: \[ 5g + 10 + 3h - 12 \]

This leads to the simplified expression, which allows you to perform further operations if necessary.