Question

How could you correctly rewrite the equation 4(10+5) = 6(12 - 2) using the distributive property?

Answer 1

To rewrite the equation using the distributive property, we need to distribute multiplication to both terms inside the parentheses.

Starting with the left side of the equation:
4(10+5) can be rewritten as:
(4 * 10) + (4 * 5)

Simplifying this expression:
(40) + (20)
= 60

Now let's work on the right side of the equation:
6(12 - 2) can be rewritten as:
(6 * 12) - (6 * 2)

Simplifying this expression:
(72) - (12)
= 60

Therefore, both sides of the equation simplify to 60. The correct rewritten equation using the distributive property is: 60 = 60.