Use the Associative Property to demonstrate that Expression 1 is equivalent to Expression 2.
Expression 1: 22r−13
Expression 2: 19r+(3r−2)−11
To demonstrate that Expression 1 is equivalent to Expression 2 using the Associative Property, we can rearrange the terms in Expression 2 and group them in a different way.
Expression 2: 19r + (3r - 2) - 11
Using the Associative Property, we can rearrange the terms inside the parentheses:
Expression 2: 19r + 3r - 2 - 11
Continuing simplifying:
Expression 2: 22r - 2 - 11
Expression 2: 22r - 13
We have successfully demonstrated that Expression 1 (22r - 13) is equivalent to Expression 2 (19r + (3r - 2) - 11) using the Associative Property.
To demonstrate that Expression 1 is equivalent to Expression 2 using the Associative Property, we will group the terms in Expression 2.
Expression 2: 19r + (3r - 2) - 11
Applying the Associative Property of Addition, we can regroup the terms inside the parentheses:
Expression 2: 19r + (3r - 2 - 11)
Now, simplify the terms inside the parentheses:
Expression 2: 19r + (3r - 13)
By removing the parentheses, the expression becomes:
Expression 2: 19r + 3r - 13
Now, combine like terms:
Expression 2: 22r - 13
We can see that Expression 1 (22r - 13) is equivalent to Expression 2 (19r + (3r - 2) - 11) using the Associative Property.