Practice worksheet for plotting rational numbers on number lines.

I'll solve this problem step by step. The worksheet asks to plot rational numbers on number lines. Let me analyze each number line and determine where each number should be placed.

First, I need to understand what rational numbers are and how to plot them on a number line. Rational numbers include fractions, decimals, and integers that can be expressed as a ratio of two integers.

Let me go through each number line one by one:

1. For 5/8: This is a fraction between 0 and 1. Since 8 is the denominator, I need to divide the space between 0 and 1 into 8 equal parts. 5/8 would be 5 parts from 0 toward 1.

2. For 0.8: This is equivalent to 4/5 or 8/10. On a number line from 0 to 1, it would be 80% of the way from 0 to 1.

3. For 7/6: This is an improper fraction greater than 1 (since 7 > 6). It equals 1 and 1/6, so it would be 1/6 past 1 on the number line.

4. For -0.5: This is halfway between 0 and -1.

5. For -1/2: This is also -0.5, so it's the same position as above - halfway between 0 and -1.

6. For -2/5: This is -0.4, which is 40% of the way from 0 to -1.

7. For -0.75: This is -3/4, which is 3/4 of the way from 0 to -1.

8. For 2 1/2: This is 2.5, which is halfway between 2 and 3.

9. For -1.4: This is -1 and 2/5, which is 2/5 past -1 toward -2.

10. For -1 1/2: This is -1.5, which is halfway between -1 and -2.

Now for the final section, I need to plot all these numbers on one number line:
A. -0.2 (which is -1/5, 1/5 past 0 toward -1)
B. 1 1/10 (which is 1.1, 1/10 past 1 toward 2)
C. -1/2 (which is -0.5, halfway between 0 and -1)
D. -0.9 (which is -9/10, 9/10 past 0 toward -1)
E. 1.6 (which is 1 and 3/5, 3/5 past 1 toward 2)
F. -2/5 (which is -0.4, 2/5 past 0 toward -1)

To properly solve this, I need to carefully place each number on its respective number line according to its value.

Since I'm providing an explanation rather than physically marking the number lines, I've described exactly where each number should be plotted based on its value relative to the integers on each number line.