Question

Use the Associative Property to demonstrate that Expression 1 is equivalent to Expression 2. 22r - 13 19r + (3r - 2) - 11 explain it simple just the answer

Answer 1

To show that Expression 1, \( 22r - 13 \), is equivalent to Expression 2, \( 19r + (3r - 2) - 11 \), we can simplify Expression 2 using the Associative Property.

1. Start with Expression 2:
\[
19r + (3r - 2) - 11
\]

2. Apply the Associative Property to group \( 19r \) and \( 3r \):
\[
(19r + 3r) - 2 - 11
\]

3. Combine \( 19r \) and \( 3r \):
\[
22r - 2 - 11
\]

4. Now, simplify \( -2 - 11 \):
\[
22r - 13
\]

So, after simplifying Expression 2, we get:
\[
22r - 13
\]
This shows that both expressions are equivalent.