According to the Associative Property, which expression is equivalent to 30m+(21m−53)+(18−2m)?(1 point)
A. (30m+21m)+(18−2m)
B. 51m+(−53+18)−2m
C. 53m−35
D. (49m−53)+16
The Associative Property states that the grouping of numbers does not affect the sum.
Applying the Associative Property to the given expression, 30m+(21m−53)+(18−2m), we can rearrange the terms to group the like terms together.
30m + (21m - 2m) + (-53 + 18)
Simplifying the grouped terms:
30m + 19m + (-35)
Combining the like terms:
(30m + 19m) - 35
Adding the terms within the parentheses:
49m - 35
Therefore, the expression equivalent to 30m+(21m−53)+(18−2m) is (49m - 35). The correct answer is D.
To determine which expression is equivalent to 30m+(21m−53)+(18−2m) using the Associative Property, we need to group the terms together.
First, let's distribute the terms inside the parentheses:
30m + 21m - 53 + 18 - 2m
Next, let's combine like terms:
(30m + 21m - 2m) + (18 - 53)
Simplifying further:
(51m - 2m) + (-35)
Finally, combining like terms again:
49m - 35
Therefore, the expression that is equivalent to 30m+(21m−53)+(18−2m) is option C. 53m - 35.