Question

Which of the following expressions is equivalent to 5(1+6) when rewritten using the distributive property?

A) 5 + 6
B) 5 + 30
C) 5 + 5 + 5 + 5 + 5 + 5 + 5
D) 5 + 5 + 5 + 5 + 5 + 5 + 30

Answer 1

The equivalent expression to 5(1+6) using the distributive property is 5 + 30. The property states A(B + C) = AB + AC, which applied here results in adding the products of 5 and 1, and of 5 and 6.

Step-by-step explanation:

To find which expression is equivalent to 5(1+6) using the distributive property, we can apply the property to multiply 5 by both 1 and 6. The distributive property states that A(B + C) = AB + AC.

Therefore, applying the distributive property to 5(1+6), we get:

1. Multiply 5 by 1 to get 5.
2. Multiply 5 by 6 to get 30.
3. Add the two products together to get 5 + 30.

In conclusion, 5 + 30 is the equivalent expression when 5(1+6) is rewritten using the distributive property.