Use the Associative Property to demonstrate that Expression 1 is equivalent to Expression 2.
Expression 1: 22r−13
Expression 2: 19r+(3r−2)−11
Expression 2: 19r + (3r - 2) - 11
To show that Expression 1 is equivalent to Expression 2, we can apply the associative property by grouping like terms together.
Expression 2 can be simplified as follows:
19r + (3r - 2) - 11 = 19r + 3r - 2 - 11
Using the associative property, we can group the terms (19r and 3r) together:
= (19r + 3r) - 2 - 11
Simplifying further:
= 22r - 2 - 11
= 22r - 13
Therefore, Expression 1 (22r - 13) is equivalent to Expression 2 (19r + (3r - 2) - 11) using the associative property.
To demonstrate the equivalence using the Associative Property, we need to rearrange the terms in Expression 2.
Expression 2: 19r + (3r - 2) - 11
To simplify this expression, we can start by removing the parentheses:
Expression 2: 19r + 3r - 2 - 11
Next, we combine like terms:
Expression 2: 22r - 13
By rearranging the terms and simplifying, we have obtained Expression 2 which is equal to Expression 1. Therefore, we have demonstrated that Expression 1 is equivalent to Expression 2 using the Associative Property.
To demonstrate that Expression 1 is equivalent to Expression 2 using the Associative Property, we need to manipulate the terms in Expression 2 in a way that groups like terms together.
In Expression 1:
22r - 13
In Expression 2:
19r + (3r - 2) - 11
To use the Associative Property, we will start by simplifying the expression inside the parentheses in Expression 2.
Inside the parentheses:
3r - 2
Now, we can distribute the 19r with the terms inside the parentheses:
19r + 3r - 2 - 11
Next, we can combine the like terms:
(19r + 3r) - (2 + 11)
Adding the like terms and simplifying the expression further:
22r - 13
As we can see, Expression 1 (22r - 13) and the simplified form of Expression 2 (22r - 13) are equivalent. This demonstrates the use of the Associative Property.