Select the property that allows the left member of the equation to be changed to the right member.
a (b + c ) = ab + ac
associative - multiplication
commutative - addition
identity - addition
distributive
symmetric
commutative - multiplication
associative - addition
distributive
The property that allows the left member of the equation to be changed to the right member is the distributive property.
The property that allows the left member of the equation to be changed to the right member in the given equation is the distributive property.
The distributive property states that for any numbers a, b, and c, the product of a and the sum of b and c is equal to the sum of the products of a and b, and a and c.
In the given equation, a is being multiplied by the sum of b and c. According to the distributive property, this can be rewritten as the sum of the products of a and b, and a and c, which is ab + ac.
Therefore, the correct property is the distributive property.