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

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

53m−35

Answer 1

To apply the Associative Property correctly, we can group the terms of the expression \( 30m + (21m - 53) + (18 - 2m) \) in different ways, but we should keep the total value the same.

Let's break down the original expression step-by-step:

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

2. We can rearrange the expression using the associative property. One valid grouping is: \[ (30m + 21m) + (18 - 53 - 2m) \]

3. From the options given, the expression that matches this structure is: \[ (30m + 21m) + (18 - 2m) \]

So the correct answer is: (30m + 21m) + (18 - 2m)