Question
According to the associative property which expression is equivalent to 30 m + ( 21m-53 + 18 - 2 m
Answers
GPT-4o mini
The associative property states that the way in which numbers are grouped in addition (or multiplication) does not change their sum (or product). This means we can rearrange parentheses in an expression without changing its value.
Let's simplify the expression step by step:
Given expression:
\[ 30m + (21m - 53 + 18 - 2m) \]
First, simplify the expression inside the parentheses:
1. Combine like terms: \( 21m - 2m = 19m \).
2. Combine constant terms: \( -53 + 18 = -35 \).
Now the expression inside the parentheses becomes:
\[ (19m - 35) \]
Now, substitute it back into the original expression:
\[ 30m + (19m - 35) \]
Using the associative property, we can drop the parentheses:
\[ 30m + 19m - 35 \]
Finally, combine like terms \( 30m + 19m = 49m \):
So the expression simplifies to:
\[ 49m - 35 \]
Thus, the equivalent expression is:
\[ 49m - 35 \]
Let's simplify the expression step by step:
Given expression:
\[ 30m + (21m - 53 + 18 - 2m) \]
First, simplify the expression inside the parentheses:
1. Combine like terms: \( 21m - 2m = 19m \).
2. Combine constant terms: \( -53 + 18 = -35 \).
Now the expression inside the parentheses becomes:
\[ (19m - 35) \]
Now, substitute it back into the original expression:
\[ 30m + (19m - 35) \]
Using the associative property, we can drop the parentheses:
\[ 30m + 19m - 35 \]
Finally, combine like terms \( 30m + 19m = 49m \):
So the expression simplifies to:
\[ 49m - 35 \]
Thus, the equivalent expression is:
\[ 49m - 35 \]