Here are the correct matches for the given numbers:

1. $\frac{3}{7}$: The result is a decimal value that repeats.
   Explanation: When you divide 3 by 7, you get $0.\overline{428571}$, which is a repeating decimal.

2. $\sqrt{7}$: The result is a decimal value that neither repeats nor terminates.
   Explanation: The square root of 7 is an irrational number (approximately $2.645751...$), so it does not repeat or terminate.

3. $\frac{9}{8}$: The result is a decimal value that terminates.
   Explanation: When you divide 9 by 8, you get $1.125$, which is a terminating decimal.

4. $\frac{30}{5}$: The result is a whole number with no decimal.
   Explanation: When you divide 30 by 5, you get $6$, which is a whole number.

Let me know if you need further clarification or assistance!

Here are 5 follow-up questions to deepen understanding:

1. What are the characteristics of a repeating decimal?
2. How can you determine if a fraction results in a terminating decimal?
3. Why is $\sqrt{7}$ classified as an irrational number?
4. Can all square roots be either rational or irrational? Provide examples.
5. How does the denominator of a fraction affect whether the result is terminating or repeating?

Tip: Fractions with denominators containing only the prime factors 2 or 5 (when simplified) produce terminating decimals.