Question
What property is illustrated: 19r+(3r−2)−11 = (19r+3r)−2−11
Answers
GPT-4o mini
The property illustrated in the equation \( 19r+(3r−2)−11 = (19r+3r)−2−11 \) is the **associative property of addition**.
This property states that when adding or subtracting, the way in which the numbers are grouped does not change the sum. In this case, the expression on the left side of the equation groups \( 3r - 2 \) differently than the right side, where \( 3r \) and \( -2 \) are grouped separately, but the total result remains the same.
Additionally, you can note that the equation also involves the **distributive property** when breaking down the expression properly, but the main focus here is on how brackets rearrange terms without affecting the overall outcome, which aligns closely with the associative property.
This property states that when adding or subtracting, the way in which the numbers are grouped does not change the sum. In this case, the expression on the left side of the equation groups \( 3r - 2 \) differently than the right side, where \( 3r \) and \( -2 \) are grouped separately, but the total result remains the same.
Additionally, you can note that the equation also involves the **distributive property** when breaking down the expression properly, but the main focus here is on how brackets rearrange terms without affecting the overall outcome, which aligns closely with the associative property.