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The problem asks to round the cube root of 15 to the nearest tenth using a number line. Let's go through the steps:

### Step 1: Approximate the Cube Root of 15
We know that:
\[
\sqrt[3]{15}
\]
To estimate this, notice that:
\[
\sqrt[3]{8} = 2 \quad \text{and} \quad \sqrt[3]{27} = 3
\]
Since 15 is between 8 and 27, the cube root of 15 must be between 2 and 3. Using a calculator, we find:
\[
\sqrt[3]{15} \approx 2.466
\]

### Step 2: Round to the Nearest Tenth
Rounding 2.466 to the nearest tenth gives **2.5**.

If using a number line, we could place 2.466 between 2.4 and 2.5. Since it's closer to 2.5, we round up.

### Final Answer: 
The cube root of 15 rounded to the nearest tenth is **2.5**.

Would you like further details or any clarifications? Here are some additional questions to expand this topic:

1. What is the cube root of other numbers between 15 and 27?
2. Can you explain how to estimate cube roots without a calculator?
3. How would you plot cube roots of different numbers on a number line?
4. What is the difference between square roots and cube roots?
5. How do you round numbers to other decimal places, such as hundredths?

**Tip:** When estimating roots, try to first find two perfect cubes or squares between which the number lies.

Round the cube root of 15 to the nearest tenth using the number line.

Learn how to round the cube root of 15 to the nearest tenth using a number line. Explore the cube root approximation process and practice rounding decimals. This problem is suitable for students in Grades 6-8.

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