Question

apply the commutative property to generate an expression equivalent
to 8 plus 9f - 2 plus 6f - 8f - 4 plus 12

Answer 1

To apply the commutative property, we can rearrange the terms in any order.

First, let's group all the terms with f together:
9f + 6f - 8f

Now, let's rearrange the terms with f alphabetically:
-8f + 6f + 9f

Next, let's group all the constant terms together:
8 - 2 - 4 + 12

Now, let's rearrange the constant terms:
8 - 4 - 2 + 12

Putting everything back together, the expression equivalent to 8 plus 9f - 2 plus 6f - 8f - 4 plus 12 using the commutative property is:

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