Using a scenario questions about types of numbers in math
Scenario: Sarah is trying to figure out the best way to categorize different types of numbers in math. She is intrigued by the concept of irrational numbers and wants to know more about them.
1. What are irrational numbers and how are they different from rational numbers?
2. Can you give examples of irrational numbers and explain how they can be represented on a number line?
3. Are there any rules or properties that apply specifically to irrational numbers?
4. How do irrational numbers come into play in real-life situations or practical applications in mathematics?
5. Could you provide a comparison between irrational numbers and other types of numbers, such as integers or whole numbers, and explain their unique characteristics and properties?