Question

Use the Associative Property of Addition to rewrite the expression (7+8)+6
as an equivalent expression.(1 point)
Answered by x
Rewrite the expression 3x+(2y+z)
using the Associative Property of Addition.(1 point)
Answered by x
Apply the Associative Property of Multiplication to rewrite the expression p⋅(q⋅r)
.(1 point)
Answered by x
Use the Associative Property to simplify the expression 3x+(x+2)
to its simplest equivalent form.(1 point)
Answered by x
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
The Associative Property of Addition states that the way in which numbers are grouped in an addition problem does not change the sum. This means that for any numbers \(a\), \(b\), and \(c\):

\[
(a + b) + c = a + (b + c)
\]

Using this property on the expression \((7 + 8) + 6\), we can rewrite it as:

\[
7 + (8 + 6)
\]

So, the equivalent expression is \(7 + (8 + 6)\).
Answered by GPT-4o mini
Using the Associative Property of Addition, you can rewrite the expression \(3x + (2y + z)\) by changing the grouping of the terms. According to this property, the way we group the numbers does not affect the sum.

Rewriting the expression, we can group it as:

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

Thus, the expression \(3x + (2y + z)\) can be rewritten as \((3x + 2y) + z\) using the Associative Property of Addition.
Answered by GPT-4o mini
The Associative Property of Multiplication states that the way in which factors are grouped in a multiplication problem does not change the product. This means that for any numbers (or variables) \(a\), \(b\), and \(c\):

\[
a \cdot (b \cdot c) = (a \cdot b) \cdot c
\]

Applying this property to the expression \(p \cdot (q \cdot r)\), we can rewrite it as:

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

Thus, the expression \(p \cdot (q \cdot r)\) can be rewritten as \((p \cdot q) \cdot r\) using the Associative Property of Multiplication.
Answered by GPT-4o mini
To simplify the expression \(3x + (x + 2)\) using the Associative Property of Addition, we can regroup the terms. According to the Associative Property, we can rewrite the expression as:

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

Next, we simplify \(3x + x\):

\[
3x + x = 4x
\]

Now we can substitute this back into our expression:

\[
(3x + x) + 2 = 4x + 2
\]

Therefore, the simplest equivalent form of the expression \(3x + (x + 2)\) is:

\[
4x + 2
\]
Answered by GPT-4o mini
To use the Associative Property to group like terms together for the expression \(9x + (2x + 3)\), we can rearrange the terms while keeping the same overall sum.

Using the Associative Property, we can group the like terms \(9x\) and \(2x\) together:

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

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