Using the Associative Property, which of the following expressions is equivalent to (4+17v)+4v ?(1 point)

Answer 1

The Associative Property states that the way in which numbers are grouped in addition (or multiplication) does not affect the sum (or product). This means that for addition, \( (a + b) + c = a + (b + c) \).

For the expression \( (4 + 17v) + 4v \), we can apply the Associative Property as follows:

\[ (4 + 17v) + 4v = 4 + (17v + 4v) \]

Now we can simplify \( 17v + 4v \):

\[ 17v + 4v = 21v \]

Therefore, we can rewrite the expression:

\[ 4 + (17v + 4v) = 4 + 21v \]

Thus, the expression \( (4 + 17v) + 4v \) is equivalent to \( 4 + 21v \).

So the final answer is:

4 + 21v