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

Responses

(49m−53)+16

53m−35

51m+(−53+18)−2m

(30m+21m)+(18−2m)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

The Associative Property states that the way in which numbers are grouped in an addition or multiplication problem does not change the sum or product.

In the expression \(30m + (21m - 53) + (18 - 2m)\), you can regroup the terms without changing the overall value.

The expression:

\[
30m + (21m - 53) + (18 - 2m)
\]

can be rewritten using the associative property in this way:

\[
(30m + 21m) + (18 - 2m) - 53
\]

This form is represented in one of the responses:

\[
(30m + 21m) + (18 - 2m) - 53
\]

Thus, the equivalent expression using the Associative Property is:

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

Among the provided choices, that's exactly the fourth response:

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

This confirms the correctness using the associative property.