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The task in question 7 is to place the given values (labeled A to L) in the smallest set that contains them, using the categories: **Natural**, **Whole**, **Integers**, **Rational**, and **Irrational** numbers. Here’s the breakdown:

### Analyzing Each Value:

- **A. 0.592** – This is a decimal that does not terminate in a simple fraction form. It is a **rational number** because it can be written as a fraction, but it doesn’t belong to any smaller category like integers, whole, or natural numbers. 
  - Answer: **Rational**

- **B. \( \frac{30}{3} \)** – Simplifying \( \frac{30}{3} = 10 \), which is a natural number.
  - Answer: **Natural**

- **C. \( \sqrt{144} \)** – \( \sqrt{144} = 12 \), which is a natural number.
  - Answer: **Natural**

- **D. \( -1 \frac{2}{7} \)** – This is a negative mixed number, so it is a rational number, but not an integer.
  - Answer: **Rational**

- **E. 0** – Zero is a whole number.
  - Answer: **Whole**

- **F. 2.06532** – This is a decimal that doesn’t seem to terminate in a repeating fashion, so it is a rational number but not an integer or whole number.
  - Answer: **Rational**

- **G. \( -\sqrt{13} \)** – The square root of 13 is an irrational number because it cannot be simplified into a fraction. The negative of an irrational number is still irrational.
  - Answer: **Irrational**

- **H. \( -\sqrt{95} \)** – The square root of 95 is also irrational, and its negative remains irrational.
  - Answer: **Irrational**

- **I. \( \sqrt{324} \)** – \( \sqrt{324} = 18 \), which is a natural number.
  - Answer: **Natural**

- **J. \( \frac{17}{4} \)** – This is a rational number, as it is a fraction.
  - Answer: **Rational**

- **K. \( \sqrt{\frac{9}{16}} \)** – \( \sqrt{\frac{9}{16}} = \frac{3}{4} \), which is a rational number.
  - Answer: **Rational**

- **L. \( \sqrt[3]{-125} \)** – \( \sqrt[3]{-125} = -5 \), which is an integer.
  - Answer: **Integer**

### Conclusion of Placements:
1. **Natural Numbers**: B, C, I
2. **Whole Numbers**: E
3. **Integers**: L
4. **Rational Numbers**: A, D, F, J, K
5. **Irrational Numbers**: G, H

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For **Question 8**, "Circle all values that are rational numbers," the rational numbers are those that can be written as a ratio of integers:
- **A, D, F, J, K**

Would you like more details on these classifications or any further explanations? Here are 5 related questions for further exploration:

1. What is the difference between rational and irrational numbers?
2. How do you simplify cube roots, like in problem L?
3. Can a number be both rational and irrational?
4. What makes decimals like 2.06532 classified as rational?
5. How do negative numbers fit into the sets of integers and rational numbers?

**Tip:** Every integer is a rational number because it can be written as a fraction with a denominator of 1.

Place the values labeled A to L in the smallest set that contains them (Natural, Whole, Integers, Rational, Irrational numbers).

Learn how to classify numbers such as fractions, square roots, and decimals into Natural, Whole, Integers, Rational, and Irrational sets. This problem breaks down number properties step by step, perfect for Grades 6-8 math students.

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