Apply the commutative property to generate an expression equivalent to
8 + 9f - 2 + 6f - 8f - 4 + 12.
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.
that is incorrect
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
stilll not correct
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