Apply the commutative property to generate an expression equivalent to

Question

8 + 9f - 2 + 6f - 8f - 4 + 12.

Answer 1

The commutative property states that the order of addition or multiplication does not affect the result. We can apply this property to rearrange the terms in the expression.

8 + 9f - 2 + 6f - 8f - 4 + 12

Rearranging the terms:

8 - 2 - 4 + 12 + 9f + 6f - 8f

Simplifying further:

(8 - 2 - 4 + 12) + (9f + 6f - 8f)

(8 + 12 - 2 - 4) + (9f + 6f - 8f)

18 - 2 - 4 + (9f + 6f - 8f)

Adding like terms:

18 - 6 + 7f

Therefore, the equivalent expression using the commutative property is 18 - 6 + 7f.

Answer 2

that is incorrect

Answer 3

Apologies for the mistake. Let's try again.

8 + 9f - 2 + 6f - 8f - 4 + 12

Using the commutative property, we can rearrange the terms:

8 + 9f + 6f - 8f - 2 - 4 + 12

Now, let's simplify the like terms:

8 + (9f + 6f - 8f) - 2 - 4 + 12

Combine the like terms:

8 + (7f) - 2 - 4 + 12

Simplify further:

8 + 7f - 2 - 4 + 12

Combine like terms again:

(8 - 2 - 4) + 7f + 12

Finally, simplify the remaining terms:

2 + 7f + 12

This gives us the equivalent expression:

2 + 7f + 12

Answer 4

stilll not correct

Answer 5

Apologies for the confusion. Let's try again:

8 + 9f - 2 + 6f - 8f - 4 + 12

Using the commutative property, we can rearrange the terms:

(8 + 12) + (9f + 6f - 8f) + (-2 - 4)

Simplifying further:

20 + (7f) + (-6)

Combining the terms:

20 + 7f - 6

The simplified expression, equivalent to the original expression using the commutative property, is:

14 + 7f