Represent the following on the number line. (𝑖) √10 (𝑖𝑖) √4.5
with working and image on the number line

Here is the image showing the representation of \( \sqrt{10} \) and \( \sqrt{4.5} \) on the number line. Let me know if you have any questions or need further explanation! 

### Follow-up Questions:
1. How do you determine the exact location of a square root on a number line?
2. Can this method be used for non-square roots like cube roots?
3. What is the importance of using a midpoint in this construction method?
4. How would you represent \(\sqrt{2}\) on the number line?
5. Why is the perpendicular line important in this geometric construction?

### Tip:
Geometric constructions on a number line are a visual and intuitive way to understand square roots, especially when dealing with irrational numbers that cannot be easily placed on the number line using simple fractions.

Explore how to represent √10 and √4.5 visually on the number line with detailed explanations and images. Understand the geometric construction method used for square roots, applicable for students in Grades 7-9.

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