Question

Using associative property to demonstrate that expression one is equivalent to expression 2
22r-13
19r+(3r-2)-11

Answer 1

To demonstrate that expression 1 (22r-13) is equivalent to expression 2 (19r+(3r-2)-11) using the associative property, we need to group the terms in expression 2 in a way that matches the terms in expression 1.

Expression 2: 19r + (3r - 2) - 11

First, let's group the terms (3r - 2) together using parentheses:
Expression 2: 19r + (3r - 2) - 11

Now, let's use the associative property to rearrange the terms:
Expression 2: (19r + 3r) - 2 - 11

Now, we can simplify the expression:
Expression 2: 22r - 2 - 11

Finally, let's combine like terms:
Expression 2: 22r - 13

Thus, expression 1 (22r-13) is indeed equivalent to expression 2 (19r+(3r-2)-11) using the associative property.