Question

Use the indicated property to write a new expression that is equal to the given expression. Then simplify the new expression.
left parenthesis w plus 6 right parenthesis plus left parenthesis negative 5 right parenthesis​; associative
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Part 1
How would you rewrite left parenthesis w plus 6 right parenthesis plus left parenthesis negative 5 right parenthesis using the associative​ property?
A.w plus left bracket 6 plus left parenthesis negative 5 right parenthesis right bracket
w plus left bracket 6 plus left parenthesis negative 5 right parenthesis right bracket
B.left parenthesis w plus 6 right parenthesis minus 5
left parenthesis w plus 6 right parenthesis minus 5
C.negative 5 plus left parenthesis w plus 6 right parenthesis
negative 5 plus left parenthesis w plus 6 right parenthesis
D.negative 5 left parenthesis w plus 6 right parenthesis
negative 5 left parenthesis w plus 6 right parenthesis

Answer 1

To use the associative property, we need to group the terms in a way that changes the grouping but does not change the overall sum. The associative property allows us to regroup terms within an expression.

Given the expression \((w + 6) + (-5)\), we can apply the associative property. The correct way to rewrite this expression using the associative property is:

**A.** \(w + [6 + (-5)]\)

Now, simplifying \(6 + (-5)\):

\[
6 + (-5) = 6 - 5 = 1
\]

Thus, the new expression becomes:

\[
w + 1
\]

Therefore, the simplified expression is:

\[
w + 1
\]