https://file.aiquickdraw.com/mathbot/file/17253920667044e27qhie.jpg

To solve the problem, I'll compare each pair of rational numbers using the symbols \( < \), \( > \), or \( = \). Let's go through each pair given in the image:

1. **0.98** vs **-0.819**:
   - \( 0.98 > -0.819 \), because any positive number is greater than any negative number.

2. **0** vs **-11**:
   - \( 0 > -11 \), because 0 is greater than any negative number.

3. **0.85** vs **\(\frac{50}{100}\)**:
   - \( 0.85 > 0.5 \), since \(\frac{50}{100} = 0.5\).

4. **1** vs **\(-\frac{1}{4}\)**:
   - \( 1 > -\frac{1}{4} \), as 1 is positive and \(-\frac{1}{4}\) is negative.

5. **0.54** vs **-0.07**:
   - \( 0.54 > -0.07 \), again because 0.54 is positive, and -0.07 is negative.

6. **\(-\frac{7}{25}\)** vs **\(-\frac{27}{100}\)**:
   - Convert to decimal:
     - \( \frac{7}{25} = 0.28 \)
     - \( \frac{27}{100} = 0.27 \)
   - Thus, \( -0.28 < -0.27 \).

7. **0.67** vs **-\(\frac{8}{25}\)**:
   - Convert to decimal:
     - \( \frac{8}{25} = 0.32 \)
   - Thus, \( 0.67 > -0.32 \).

8. **75%** vs **\(\frac{3}{4}\)**:
   - Convert both to decimal:
     - \( 75\% = 0.75 \)
     - \( \frac{3}{4} = 0.75 \)
   - So, \( 0.75 = 0.75 \).

Let me know if you need further details or explanations. Here are some related questions:

1. What are some strategies for comparing fractions without converting them to decimals?
2. How do you determine if one negative fraction is larger than another?
3. How can percentages be easily converted into fractions?
4. What is the difference between rational and irrational numbers?
5. How does comparing positive and negative numbers change when dealing with absolute values?

**Tip:** When comparing fractions, it can sometimes be easier to convert them to decimals, but understanding how to compare them directly is a valuable skill.

Use <, =, or > to compare each pair of rational numbers.

Learn how to compare pairs of rational numbers, including decimals, fractions, and percentages, using inequality symbols (<, >, =). This problem is suitable for students in Grades 6-8 and covers essential concepts like converting fractions and percentages to decimals.

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