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Let's break down the problem:

You are asked to arrange the following numbers in descending order and plot them on a number line:

The numbers provided are:
1. \( 4.68 \) (which is approximately 4.68)
2. \( \sqrt{49} \) (which equals 7, since \( \sqrt{49} = 7 \))
3. \( -\frac{32}{5} \) (which equals \( -6.4 \) since \( \frac{32}{5} = 6.4 \))
4. \( \frac{39}{3} \) (which equals 13, since \( \frac{39}{3} = 13 \))

Now let's write these numbers in descending order:
- 13 ( \( \frac{39}{3} \) )
- 7 ( \( \sqrt{49} \) )
- 4.68
- -6.4 ( \( -\frac{32}{5} \) )

These are the numbers in descending order: \( 13, 7, 4.68, -6.4 \).

### Plotting these on the number line:
- \( 13 \) is off the scale on the right side.
- \( 7 \) can be plotted at the far right.
- \( 4.68 \) is between 4 and 5.
- \( -6.4 \) is between -6 and -7 on the left side.

Would you like further explanation or assistance with plotting this on a number line?

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Here are 5 related questions you might find useful:
1. What is the difference between rational and irrational numbers?
2. How do you calculate the square root of non-perfect squares?
3. How do negative fractions affect the value when comparing them to positive numbers?
4. Why is \( \sqrt{49} \) equal to 7, and what other perfect squares can you identify?
5. How can you simplify and compare fractions like \( \frac{32}{5} \)?

**Tip:** When comparing fractions, it is often easier to convert them into decimal form for a clearer comparison!

Arrange the following numbers in descending order and plot on a number line: 4.68, sqrt(49), -32/5, 39/3.

Learn how to arrange numbers including square roots, decimals, and fractions in descending order, and plot them on a number line. This problem involves calculating square roots and simplifying fractions such as sqrt(49) = 7, 39/3 = 13, and -32/5 = -6.4. Suitable for students in Grades 6-8.

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