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The question asks to describe the relative locations of the rational numbers \(-\left(\frac{a}{b}\right)\) and \(\frac{a}{b}\) on a number line.

- **\(\frac{a}{b}\)** is a positive rational number. On a number line, this would be located to the right of zero at the point \(\frac{a}{b}\).
  
- **\(-\left(\frac{a}{b}\right)\)** is the negative of \(\frac{a}{b}\), which means it would be located the same distance from zero as \(\frac{a}{b}\), but to the left of zero. This would place it at \(-\frac{a}{b}\).

### Summary:
- \(\frac{a}{b}\) is on the right side of zero (positive side).
- \(-\left(\frac{a}{b}\right)\) is on the left side of zero (negative side), at the same distance from zero as \(\frac{a}{b}\).

Let me know if you'd like more details or if you have any other questions!

Here are 5 related questions:
1. How can you compare the magnitudes of \(\frac{a}{b}\) and \(-\frac{a}{b}\)?
2. What happens to the location of \(\frac{a}{b}\) and \(-\frac{a}{b}\) as the values of \(a\) and \(b\) increase?
3. How do you plot rational numbers like \(\frac{a}{b}\) on a number line if \(a > b\)?
4. How does the number line help visualize the difference between positive and negative rational numbers?
5. Can irrational numbers also be plotted similarly on a number line?

**Tip:** Always note that the number line extends infinitely in both directions, allowing for representation of both very large and very small rational and irrational numbers.

Describe the relative locations of the rational numbers -a/b and a/b on a number line.

Learn how to describe the relative locations of rational numbers -a/b and a/b on a number line. This problem explains how positive and negative rational numbers are placed symmetrically on either side of zero. Suitable for students in Grades 6-8.

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