Graph each number on a number line.

- sqrt(24)

To graph \(\sqrt{24}\) on a number line, first approximate its value.

\[
\sqrt{24} \approx 4.9
\]

This is because \( \sqrt{24} \) lies between \( \sqrt{16} = 4 \) and \( \sqrt{25} = 5 \). It is closer to 5 but slightly less. 

### Steps to Graph:

1. **Draw a horizontal number line**: Mark integers like 0, 1, 2, 3, 4, 5, etc., on it.
2. **Approximate \(\sqrt{24}\)**: Place it between 4 and 5, closer to 5.
3. **Mark the point**: Indicate \(\sqrt{24}\) on the number line at approximately 4.9.

Here’s how it would look:

\[
\quad \quad \quad \quad \quad \quad \quad 0 \quad \quad 1 \quad \quad 2 \quad \quad 3 \quad \quad 4 \quad \sqrt{24} \quad 5
\]

The \(\sqrt{24}\) is placed between 4 and 5, slightly closer to 5.

Would you like further details or have any questions?

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**Related Questions:**

1. How would you graph \(\sqrt{8}\) on a number line?
2. What are the decimal approximations for \(\sqrt{10}\) and \(\sqrt{15}\)?
3. How does the square root of a number relate to its position on the number line?
4. What steps would you take to graph \(\sqrt{50}\) on a number line?
5. Can you compare \(\sqrt{24}\) with \(\sqrt{25}\) and explain their difference on the number line?

**Tip:** When approximating square roots, check the nearest perfect squares to estimate their position on the number line accurately.

Learn how to graph \(\sqrt{24}\) on a number line with our detailed step-by-step guide. Approximate the square root value, mark it on the number line between integers 4 and 5, and understand its position relative to other square roots. Suitable for students in Grades 4-6.

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