The problem asks to compare $\sqrt{24}$ and 4.256 by choosing the correct number line representation.

First, let's approximate $\sqrt{24}$: $\sqrt{24} \approx 4.899$

Now we compare this to 4.256. Clearly, $\sqrt{24} \approx 4.899$ is greater than 4.256.

So, on the number line, $\sqrt{24}$ should be positioned to the right of 4.256.

Analyzing the provided number lines:

1. First option: $\sqrt{24}$ is positioned to the left of 4.256, which is incorrect.
2. Second option: $\sqrt{24}$ is correctly positioned to the right of 4.256. This is the correct answer.
3. Third option: $\sqrt{24}$ is positioned to the left of 4.256, which is incorrect.
4. Fourth option: $\sqrt{24}$ is correctly positioned to the right of 4.256, but in this number line, $\sqrt{24}$ is positioned incorrectly on the number line scale.

Thus, the second number line is correct.

Would you like further clarification or details?

Here are 5 follow-up questions related to this:

1. How do we approximate square roots manually?
2. What is the decimal approximation of other square roots like $\sqrt{25}$?
3. How do you compare two numbers on a number line?
4. What is the method for solving inequalities involving square roots?
5. How can square roots be simplified when solving equations?

Tip: Always try approximating square roots to two or three decimal places to improve accuracy in comparisons.