I'll help you analyze and complete the number line problems and arrange the rational numbers from least to greatest.

Here's a breakdown of each question and how to approach them:

Problem Analysis and Solutions

1. Question 7:

   • The task involves placing the fractions and decimals $\frac{3}{8}, \frac{1}{4}, \text{ and } \frac{7}{8}$ on the number line between 0 and 1.
   • After placing them, arrange in order: $\frac{1}{4} < \frac{3}{8} < \frac{7}{8}$.

2. Question 8:

   • Convert values to decimals: $\frac{1}{4} = 0.25$, $-0.2$, and $0.21$.
   • Order from least to greatest: $-0.2 < 0.21 < 0.25$.

3. Question 9:

   • Place and order values $-1, \frac{1}{4}, \frac{5}{6}, \text{ and } -0.5$.
   • Convert $-1, -0.5, 0.25, 0.83$, then order: $-1 < -0.5 < 0.25 < 0.83$.

4. Question 10:

   • Plot $-2, 0.5, -0.5, \text{ and } \frac{5}{100}$.
   • Order: $-2 < -0.5 < 0.05 < 0.5$.

5. Question 11:

   • Plot $-\frac{3}{4}, 0.75, -0.8, \frac{1}{4}$.
   • Convert: $-0.75, 0.75, -0.8, 0.25$, then arrange: $-0.8 < -0.75 < 0.25 < 0.75$.

Would you like me to explain any of these steps in more detail?

Here are five related questions that expand on this topic:

1. How can you quickly convert between fractions and decimals for comparisons?
2. What strategies help in placing negative fractions on a number line?
3. Why is it helpful to convert all values to decimals when ordering them?
4. What are some common errors to avoid when plotting mixed numbers?
5. How can visualizing fractions as portions of a whole help with ordering?

Tip: When ordering fractions and decimals, converting them all to decimals can simplify comparisons and reduce errors.