According to the Associative Property, which expression is equivalent to 30m+(21m−53)+(18−2m)?
Responses
(30m+21m)+(18−2m)
(49m−53)+16
51m+(−53+18)−2m
53m−35
The correct expression that is equivalent to 30m+(21m−53)+(18−2m) according to the Associative Property is:
(30m+21m)+(18−2m)
To apply the Associative Property, we can group the terms in parentheses together before performing any addition or subtraction.
So, the expression 30m + (21m - 53) + (18 - 2m) can be simplified as follows:
First, simplify the expressions within the parentheses:
21m - 53 = 21m - 53
18 - 2m = 18 - 2m
Now, we can rewrite the expression:
30m + (21m - 53) + (18 - 2m) = 30m + 21m - 53 + 18 - 2m
Next, combine like terms:
30m + 21m - 53 + 18 - 2m = (30m + 21m - 2m) + (-53 + 18)
Simplify further:
(30m + 21m - 2m) + (-53 + 18) = 49m - 53 + 18
Finally, combine the constant terms:
49m - 53 + 18 = 49m - 35
Therefore, the expression that is equivalent to 30m + (21m - 53) + (18 - 2m) is 49m - 35.