Applying the associative principle to (3+7)+4, is to move the parentheses from around the first two numbers to around the second and third numbers like this: 3+(7+4) How the associative property works is that if you leave it as (3+7)+4, you are associating the 3 with the 7 by having parentheses around them, and they give 10, so it's the same as adding 10+4 and getting 14. Or if you move the parentheses so that you have 3+(7+4), then you are associating the 7 with the 4 by having parentheses around them, and they give 11, so it's the same as adding 3+11 and surprise! you also get the same answer 14. Edwin