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)
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.
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.