In the provided image, the question focuses on understanding additive inverses and recognizing that two numbers are additive inverses if their sum is zero. Here’s how to approach each part of the question:

1. Part (b): The visual representation on the number line shows two arrows:

   • One arrow goes from $0$ to $-\frac{7}{8}$, representing $-\frac{7}{8}$.
   • The other arrow goes from $0$ to $\frac{7}{8}$, representing $\frac{7}{8}$.

   Since $-\frac{7}{8} + \frac{7}{8} = 0$, these two values are indeed additive inverses of each other.

2. Part (c): This part requires filling in blanks to describe the concept of additive inverses:

   • First Blank: Adding $-\frac{7}{8}$ and its opposite (which is $\frac{7}{8}$) should "give" an answer of 0.
   • Second Blank: $-\frac{7}{8}$ and its opposite "are" additive inverses, because their sum is zero.

Thus, the correct answers for part (c) would be:

• First Blank: "give"
• Second Blank: "are"

Let me know if you need more details on any part, or have further questions!

Here are five follow-up questions to consider:

1. What does it mean for two numbers to be additive inverses?
2. How would you represent other pairs of additive inverses on a number line?
3. Why does adding a number to its opposite result in zero?
4. How can you apply the concept of additive inverses in solving equations?
5. What is the relationship between additive inverses and the concept of zero?

Tip: Remember, any number added to its opposite will always equal zero, making it a fundamental property in algebra for simplifying expressions and solving equations.