use the associative property of addition to rewrite the expression (7+8)+6 as an equivalent expression.

Answer 1

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 we can regroup the numbers in the expression \((7 + 8) + 6\).

Using the associative property, we can rewrite the expression as:

\[7 + (8 + 6)\]

Now we can simplify \(8 + 6\) if needed, but as per the request, this is the equivalent expression using the associative property.

Answer 2

Rewrite the expression 3x+(2y+z) using Associative property of addition

Answer 3

Using the associative property of addition, we can regroup the terms in the expression \(3x + (2y + z)\).

By the associative property, we can rewrite the expression as:

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

This shows that the sum remains the same regardless of how we group the terms.

Answer 4

use the associative property to simplify the expression 3x+(x+2) to its simplest equivalent form.

Answer 5

To simplify the expression \(3x + (x + 2)\) using the associative property of addition, we can regroup the terms:

1. Using the associative property, we can rearrange the terms: \[ (3x + x) + 2 \]

2. Now, combine \(3x\) and \(x\): \[ 4x + 2 \]

So, the expression \(3x + (x + 2)\) simplifies to \(4x + 2\).

Answer 6

use the associative property to group like terms together for the expression 9x+(2x+3) do not simplify the grouped terms.

Answer 7

Using the associative property to group like terms in the expression \(9x + (2x + 3)\), we can rearrange the terms as follows:

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

This expression now groups the like terms \(9x\) and \(2x\) together, while leaving \(3\) as a separate term.

Answer 8

which of the following expression could you rewrite using the Associative property?
A. (5times8)+3
B.(9times5)+8+3
C.(5+8)times3
D.(9times5)times(8times3)

Answer 9

The associative property applies to addition and multiplication, allowing for the regrouping of terms without changing the result. Let's assess each of the options provided:

A. \((5 \times 8) + 3\)

• This expression combines multiplication and addition. The associative property does not apply here as it only affects the grouping of the same operation (addition or multiplication).

B. \((9 \times 5) + 8 + 3\)

• This expression combines multiplication and addition. The associative property can be applied to the addition part: \( (9 \times 5) + (8 + 3) \). So, this can be rewritten.

C. \((5 + 8) \times 3\)

• This expression is an addition inside of a multiplication. The associative property does not apply here since it involves both operations. However, you can rearrange the addition: \( (3 \times (5 + 8)) \).

D. \((9 \times 5) \times (8 \times 3)\)

• This expression involves multiplication alone. The associative property applies, allowing for the grouping of terms differently; for example, you could rewrite it as \((9 \times (5 \times (8 \times 3)))\).

Based on this analysis, the expressions that can be rewritten using the associative property are:

• B. \((9 \times 5) + 8 + 3\)
• D. \((9 \times 5) \times (8 \times 3)\)

Both B and D can be manipulated using the associative property.

Answer 10

nope only one

Answer 11

I apologize for the oversight. Let's clarify:

To determine which expression can be rewritten using the associative property, we should focus solely on those that allow for regrouping without changing the order of operations.

• A. \((5 \times 8) + 3\) - Involves addition and multiplication; associative property does not apply.

• B. \((9 \times 5) + 8 + 3\) - Can be regrouped for the addition portion, but it includes multiplication as well, meaning it's slightly complex for associative property application.

• C. \((5 + 8) \times 3\) - Involves addition and multiplication, allowing for grouping only on the addition part but not for associative property application in entirety.

• D. \((9 \times 5) \times (8 \times 3)\) - Involves multiplication only, and thus can be regrouped as \((9 \times (5 \times (8 \times 3)))\).

Upon reevaluation, the correct answer is:

D. \((9 \times 5) \times (8 \times 3)\)

This expression allows for complete rearrangement using the associative property of multiplication. Thank you for your patience!

Answer 12

which of the following correctly demonstrates the associative property of addition?
A. m⋅(x⋅y)=(m⋅x)⋅y
B. (x+y)+z+r=x+(y+z)+r
C. y-(x+1)=(y-x+1
D. x⋅(y+z)=(x⋅y)+z

Answer 13

To identify which option demonstrates the associative property of addition, let's briefly define the associative property of addition. It states that the way in which numbers are grouped does not affect their sum. In mathematical terms, for any numbers \(a\), \(b\), and \(c\):

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

Now, let's analyze the options one by one:

A. \(m \cdot (x \cdot y) = (m \cdot x) \cdot y\)

• This demonstrates the associative property of multiplication, not addition.

B. \((x + y) + z + r = x + (y + z) + r\)

• This correctly demonstrates the associative property of addition.

C. \(y - (x + 1) = (y - x + 1\)

• This does not correctly demonstrate the associative property of addition. It appears to represent a different operation.

D. \(x \cdot (y + z) = (x \cdot y) + z\)

• This incorrectly represents the associative property and is not an accurate statement for multiplication or addition.

The correct option that demonstrates the associative property of addition is:

B. ((x + y) + z + r = x + (y + z) + r