Question

According to the Associative Property, which expression is equivalent to 30m+(21m−53)+(18−2m) ?(1 point)
Responses

51m+(−53+18)−2m
51 m plus left parenthesis negative 53 plus 18 right parenthesis minus 2 m

53m−35
53 m minus 35

(49m−53)+16
left parenthesis 49 m minus 53 right parenthesis plus 16

(30m+21m)+(18−2m)
left parenthesis 30 m plus 21 m right parenthesis plus left parenthesis 18 minus 2 m right parenthesis

Answer 1

The Associative Property states that the way in which numbers are grouped does not change their sum. In this case, you need to analyze the expression \(30m + (21m - 53) + (18 - 2m)\) and identify which option correctly uses the associative property.

The original expression can be regrouped. We can combine the terms \(30m\) and \(21m\) together and then add the remaining terms as follows:

\[
(30m + 21m) + (18 - 2m)
\]

This matches the last option:

\((30m + 21m) + (18 - 2m)\)

Hence, this expression is equivalent to the original expression using the Associative Property.

So the correct response is:

\((30m + 21m) + (18 - 2m)\)