According to the Associative Property, which expression is equivalent to 30m+(21m−53)+(18−2m)?(1 point)
Responses
(49m−53)+16
left parenthesis 49 m minus 53 right parenthesis plus 16
53m−35
53 m minus 35
51m+(−53+18)−2m
51 m plus left parenthesis negative 53 plus 18 right parenthesis minus 2 m
(30m+21m)+(18−2m)
(30m+21m)+(18-2m)
According to the Associative Property, the expression (30m+(21m−53)+(18−2m)) is equivalent to (30m+21m)+(18−2m).
To simplify the given expression using the Associative Property, we need to regroup the terms. The Associative Property states that the grouping of terms can be changed without changing the value of the expression.
The expression is: 30m + (21m - 53) + (18 - 2m)
To regroup the terms, we can first add the like terms within each set of parentheses:
30m + 21m - 53 + 18 - 2m
Next, let's combine the like terms:
(30m + 21m - 2m) + (-53 + 18)
Now, simplify the expression:
(51m) + (-35)
The final answer, simplified using the Associative Property, is:
51m - 35
So, the expression that is equivalent to 30m + (21m - 53) + (18 - 2m) is 51m - 35.