Question

Which statement is an example of the distributive property?

a) 3 + (2)(15) = 3(2) + 3(15)
b) 3(2 + 15) = 3 + 2(3) + 15
c) 3(2 + 15) = 3(2) + 3(15)
d) 3(2 + 15) = 3(2) + 15

Answer 1

Option c) 3(2 + 15) = 3(2) + 3(15) is the correct example of the distributive property, demonstrating how a single term is distributed across the terms inside parentheses and multiplied by each.

Step-by-step explanation:

The statement that is an example of the distributive property is c) 3(2 + 15) = 3(2) + 3(15). The distributive property allows you to multiply a single term by each term inside a set of parentheses and then add the products.

Using this property, you can distribute the 3 to both 2 and 15, which gives you 3 multiplied by 2 plus 3 multiplied by 15. The equation illustrates this property correctly by showing that both terms inside the parentheses are multiplied by 3.