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To plot the numbers \(1\), \(\frac{5}{6}\), and \(\frac{8}{7}\) on a number line, you should follow these steps:

1. **Draw a horizontal line** and mark it with evenly spaced tick marks to represent whole numbers. For example, label the tick marks with \(0\), \(1\), \(2\), etc.
   
2. **Plot the number 1:** Since 1 is a whole number, place it exactly on the tick mark labeled 1.
   
3. **Plot the fraction \(\frac{5}{6}\):** This fraction is slightly less than 1. Divide the interval between 0 and 1 into 6 equal parts. Count 5 parts from 0 and place \(\frac{5}{6}\) at that position.

4. **Plot the fraction \(\frac{8}{7}\):** This fraction is slightly more than 1. Since \(\frac{8}{7}\) is just a little over 1, you need to extend the line slightly beyond the tick mark for 1. Divide the interval between 1 and 2 into 7 equal parts, and place \(\frac{8}{7}\) at the first division after 1.

5. **Lengthen the tick marks of whole numbers** to make them stand out.

Would you like a detailed explanation of any of these steps? Here are some related questions:

1. How do you convert improper fractions to mixed numbers?
2. What is the difference between proper and improper fractions?
3. How do you find common denominators to compare fractions?
4. What is the process for adding and subtracting fractions?
5. How do you plot decimals on a number line?

**Tip:** When working with fractions on a number line, it can be helpful to convert improper fractions to mixed numbers to better understand their placement.

Draw a number line like the one in Figure 2.49. Then plot 1, 5/6, and 8/7 on your number line in such a way that each number falls on a tick mark. Lengthen the tick marks of whole numbers.

Learn how to draw and plot the numbers 1, 5/6, and 8/7 on a number line. This guide is perfect for students in Grades 5-7 and covers key concepts like fractions and improper fractions.

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