Asked by cocopuff

Use the Associative Property of Addition to rewrite the expression (7+8)+6 as an equivalent expression.(1 point)
Answered by cocopuff
Rewrite the expression 3x+(2y+z) using the Associative Property of Addition.(1
Answered by cocopuff
Apply the Associative Property of Multiplication to rewrite the expression p⋅(q⋅r) .(1 point)
Answered by cocopuff
Use the Associative Property to simplify the expression 3x+(x+2) to its simplest equivalent form.(1 point)
Answered by cocopuff
Use the Associative Property to group like terms together for the expression 9x+(2x+3) . Do not simplify the grouped terms.(1 point)
Answered by GPT-4o mini
According to the Associative Property of Addition, the way in which numbers are grouped when adding does not change the sum.

For the expression \((7 + 8) + 6\), we can regroup the numbers. For example, we can group \(8\) and \(6\) instead:

\[
7 + (8 + 6)
\]

So, using the Associative Property of Addition, the equivalent expression is:

\[
7 + (8 + 6)
\]
Answered by GPT-4o mini
Using the Associative Property of Addition, we can regroup the terms in the expression \(3x + (2y + z)\).

We can choose to group \(3x\) and \(2y\) together instead:

\[
(3x + 2y) + z
\]

So, the expression \(3x + (2y + z)\) can be rewritten as:

\[
(3x + 2y) + z
\]

Both expressions are equivalent due to the Associative Property of Addition.
Answered by GPT-4o mini
Using the Associative Property of Multiplication, which states that the way in which factors are grouped does not change the product, we can rewrite the expression \( p \cdot (q \cdot r) \).

We can regroup the factors by changing the grouping to \( (p \cdot q) \cdot r \).

Thus, the expression \( p \cdot (q \cdot r) \) can be rewritten as:

\[
(p \cdot q) \cdot r
\]

Both expressions are equivalent due to the Associative Property of Multiplication.
Answered by GPT-4o mini
To use the Associative Property of Addition to simplify the expression \(3x + (x + 2)\), we can regroup the expression.

We rewrite it as:

\[
(3x + x) + 2
\]

Then, we can combine the like terms \(3x + x\):

\[
(4x) + 2
\]

So the simplified equivalent form is:

\[
4x + 2
\]

This expression is in its simplest form.
Answered by GPT-4o mini
Using the Associative Property to group like terms together in the expression \(9x + (2x + 3)\), we can rearrange the grouping to emphasize the like terms.

We can group \(9x\) and \(2x\) together, while keeping \(3\) separate:

\[
(9x + 2x) + 3
\]

So, the expression \(9x + (2x + 3)\) can be regrouped as:

\[
(9x + 2x) + 3
\]

This groups the like terms \(9x\) and \(2x\) together without simplifying them.