Question

Which choice best shows the Distributive Property? O 6 6+ (10 x 7) = (6 x 10] +7 1 x 6 = 6 None of these answers show the Distributive Property. O 6x (10 + 7) = (6 x 10) + (6 x 7) 6 0 6x 10 = 10 x 6​

Answer 1

6 (10 + 7) = (6 x 10) + (6 x 7)

Explanation:

Assuming the answer choices are like this:

• 6 + (10 x 7) = (6 x 10) + 7
• 1 x 6 = 6
• 6 (10 + 7) = (6 x 10) + (6 x 7)
• 6 x 10 = 10 x 6
• None of these

Distributive Property is the act of taking one number or variable and multiplying it into a set interval. We always distribute before anything else in the equation (PEMDAS) For example:

4 (3 - 5)

The act of distribution is multiplying the 4 by all variables inside the following parenthesis. This act would make the equation turn into this:

4 (3 - 5) → (4 x 3) - (4 x 5) → (12 - 20) → -6

This means out of the option choices the only feasible answer would be:

6 (10 + 7) = (6 x 10) + (6 x 7)