According to the Associative Property, which expression is equivalent to 30m+(21m−53)+(18−2m)?(1 point)

Question

Responses

(30m+21m)+(18−2m)
left parenthesis 30 m plus 21 m right parenthesis plus left parenthesis 18 minus 2 m right parenthesis

(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

Answer 1

To use the Associative Property, we can rearrange the terms in the expression \(30m + (21m - 53) + (18 - 2m)\).

Let's analyze the original expression step by step:

1. Start with the expression: \[ 30m + (21m - 53) + (18 - 2m) \]

2. Rearranging the groups of terms without changing their order (which is applying the Associative Property) gives us: \[ (30m + 21m) + (18 - 2m - 53) \]

3. When we check the provided responses, we see that the following expression matches: \[ (30m + 21m) + (18 - 2m) \]

Hence, the equivalent expression according to the Associative Property is: (30m + 21m) + (18 - 2m).