The image is related to an eighth-grade math question, involving classifying numbers based on different types. Here’s a step-by-step explanation for completing the table:
1. **Natural Numbers**: These are positive integers like 1, 2, 3, etc.
- Check numbers like \(\frac{8}{4}\) which is equal to 2.
2. **Rational Numbers (گویا)**: Numbers that can be expressed as fractions or integers.
- Examples: \(\frac{8}{4}\), \(-\frac{28}{7}\), and \(\frac{0}{7}\).
3. **Integers (صحیح)**: These include whole numbers and their negatives.
- Examples: -5² which equals 25 (not a correct example for positive integers under صحیح condition)
- Check numbers yielding whole values: \(\frac{8}{4}\), \(-\frac{28}{7}\).
4. **Irrational Numbers**: Cannot be expressed as a simple fraction, often involving roots.
- Example: \(\sqrt{0.09}\).
Ensure to evaluate each calculation corresponding to each category listed in the table, following these types.
