1. **Problem:** Understand the types of numbers and their properties. 2. **Types of Numbers:** - Natural numbers ($\mathbb{N}$): $1, 2, 3, \ldots$ - Whole numbers: $0, 1, 2, 3, \ldots$ - Integers ($\mathbb{Z}$): $\ldots, -2, -1, 0, 1, 2, \ldots$ - Rational numbers ($\mathbb{Q}$): numbers expressible as $\frac{a}{b}$ where $a,b \in \mathbb{Z}$ and $b \neq 0$ - Irrational numbers: numbers that cannot be expressed as $\frac{a}{b}$, e.g., $\sqrt{2}, \pi$ - Real numbers ($\mathbb{R}$): all rational and irrational numbers. 3. **Practice Question 1:** Identify which set the number $-5$ belongs to. 4. **Solution:** $-5$ is an integer ($\mathbb{Z}$) but not a natural or whole number. 5. **Practice Question 2:** Simplify and classify $\frac{6}{8}$. 6. **Solution:** Simplify $\frac{6}{8} = \frac{3}{4}$, which is a rational number. 7. **Practice Question 3:** Is $\sqrt{9}$ rational or irrational? 8. **Solution:** $\sqrt{9} = 3$, which is rational. 9. **Practice Question 4:** Determine if $\pi$ is rational or irrational. 10. **Solution:** $\pi$ is irrational. 11. **Practice Question 5:** Add $-3 + 7$ and classify the result. 12. **Solution:** $-3 + 7 = 4$, which is a natural, whole, integer, rational, and real number. 13. **Practice Question 6:** Multiply $\frac{2}{3} \times \frac{3}{4}$. 14. **Solution:** $\frac{2}{3} \times \frac{3}{4} = \frac{6}{12} = \frac{1}{2}$, a rational number. 15. **Practice Question 7:** Express $0.333\ldots$ as a fraction. 16. **Solution:** $0.333\ldots = \frac{1}{3}$, a rational number. 17. **Summary:** Knowing the types of numbers and their properties helps classify and operate on numbers correctly. This quiz covers fundamental concepts about numbers to help you master the topic and score 100% on your test.