Question

Complete the following stepped out solution to show that -8 + C + 8 - D is equivalent to C - D. -8 + C + 8 - d - 8 + blank + C - D commutative property of addition. Blank + C - D. C - d

Answer 1

To show that \(-8 + C + 8 - D\) is equivalent to \(C - D\), we can complete the stepped out solution with a focus on the properties of addition.

Starting with:

-8 + C + 8 - D

1. **Combine Like Terms**: The terms \(-8\) and \(8\) can be combined.
\[
-8 + 8 = 0
\]
So, we write:
\[
0 + C - D
\]

2. **Apply Identity Property of Addition**: The identity property of addition states that adding zero does not change the value. Therefore,
\[
0 + C - D = C - D
\]

So the completed expression would be:

-8 + **0** + C - D

This shows that \(C - D\) is equivalent to the original expression \(-8 + C + 8 - D\).

Thus, the completed stepped out solution looks like this:

-8 + C + 8 - D
-8 + **0** + C - D (Combination of like terms)
0 + C - D (Identity property of addition)
C - D

So the blank would be filled with **0**.