Describe in words where cube root of 63 would be plotted on a number line.

Between 3 and 4, but closer to 3
Between 3 and 4, but closer to 4
Between 2 and 3, but closer to 2
Between 2 and 3, but closer to 3

The cube root of 63 would be plotted on a number line **between 3 and 4, but closer to 4**.

Here's why:
- The cube of 3 is \( 3^3 = 27 \).
- The cube of 4 is \( 4^3 = 64 \).
  
Since 63 is much closer to 64 than 27, the cube root of 63 will be closer to 4 than to 3.

Would you like more details or have any questions?

Here are 5 related questions to think about:
1. How can you estimate the cube root of 63 more precisely?
2. What is the approximate value of the cube root of 63?
3. How do cube roots compare to square roots on a number line?
4. What are the cube roots of other numbers close to 63, like 62 or 64?
5. How can you plot irrational numbers like the cube root of 63 on a number line?

**Tip:** Understanding the relationship between cubes and cube roots can help you better estimate their positions on a number line.

Explore where the cube root of 63 would be plotted on a number line, closer to 4 than to 3. Learn about cube roots, their estimation, and comparisons to square roots. Suitable for Grades 7-9.

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