State true or false in each of the following statements.
The inverse of 8 under division is `1/8`.

Answer

To determine whether the statement "The inverse of 8 under division is 1/8" is true or false, we need to understand the concept of the inverse in mathematics, particularly in the context of division.

### Step-by-Step Solution:

1. **Understanding Inverse**: The term "inverse" can refer to different types of inverses in mathematics. Here, we are interested in the multiplicative inverse, which is also known as the reciprocal. The multiplicative inverse of a number \( a \) is defined as \( \frac{1}{a} \).

2. **Finding the Inverse of 8**: To find the multiplicative inverse of 8, we apply the definition:
\[ \text{Multiplicative Inverse of } 8 = \frac{1}{8} \]

3. **Interpreting the Statement**: The statement claims that the inverse of 8 under division is \( \frac{1}{8} \). Since we have established that the multiplicative inverse of 8 is indeed \( \frac{1}{8} \), we can conclude that the statement is correct.

4. **Conclusion**: Therefore, the statement "The inverse of 8 under division is \( \frac{1}{8} \)" is **true**.

### Final Answer:
**True**