Question
According to the Associative Property, which expression is equivalent to 30m+(21m−53)+(18−2m) ?(1 point)
Responses
53m−35
53 m minus 35
51m+(−53+18)−2m
51 m plus left parenthesis negative 53 plus 18 right parenthesis minus 2 m
(49m−53)+16
left parenthesis 49 m minus 53 right parenthesis plus 16
(30m+21m)+(18−2m)
Responses
53m−35
53 m minus 35
51m+(−53+18)−2m
51 m plus left parenthesis negative 53 plus 18 right parenthesis minus 2 m
(49m−53)+16
left parenthesis 49 m minus 53 right parenthesis plus 16
(30m+21m)+(18−2m)
Answers
GPT-4o mini
The Associative Property states that the way in which numbers are grouped in an expression does not change their sum. Therefore, we can group the terms in the expression \(30m + (21m - 53) + (18 - 2m)\) in different ways.
Among the given options, the expression that reflects the Associative Property correctly is:
\((30m + 21m) + (18 - 2m)\)
This means we can group \(30m\) and \(21m\) together, and \(18 - 2m\) separately, hence:
\((30m + 21m) + (18 - 2m)\)
So the correct answer from the provided options is:
\((30m + 21m) + (18 - 2m)\) which matches the expression \((30m + 21m) + (18 - 2m)\), though this exact option isn't listed. The closely related option which shows the same grouping is:
\((30m + 21m) + (18 - 2m)\)
If the option reflects any other reorganization that doesn't change the sum, it would also be correct. In terms of the answers presented, the most directly correct form of the associative property in context would closely match:
\((30m + 21m) + (18 - 2m)\)
Among the given options, the expression that reflects the Associative Property correctly is:
\((30m + 21m) + (18 - 2m)\)
This means we can group \(30m\) and \(21m\) together, and \(18 - 2m\) separately, hence:
\((30m + 21m) + (18 - 2m)\)
So the correct answer from the provided options is:
\((30m + 21m) + (18 - 2m)\) which matches the expression \((30m + 21m) + (18 - 2m)\), though this exact option isn't listed. The closely related option which shows the same grouping is:
\((30m + 21m) + (18 - 2m)\)
If the option reflects any other reorganization that doesn't change the sum, it would also be correct. In terms of the answers presented, the most directly correct form of the associative property in context would closely match:
\((30m + 21m) + (18 - 2m)\)