Question

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)

Answers

GPT-4o mini
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.