Final answer:
To plot the numbers -1 5/6 and 13/6 on the number line, convert them to appropriate forms, then find -1 and move 5/6 left to plot -1 5/6, and find +2 and move 1/6 right to plot 13/6.
Step-by-step explanation:
To plot the numbers -1 5/6 and 13/6 on the number line, you need to understand that these are mixed and improper fractions, respectively. The mixed fraction -1 5/6 means 1 whole and 5/6 below zero, while 13/6, an improper fraction, is equivalent to 2 whole and 1/6 above zero when converted into a mixed number.
Start by drawing a number line with evenly spaced increments. You should mark zero, positive, and negative whole numbers, and then find positions for the fractions. To plot -1 5/6, move to -1 on the number line, and then move 5/6 of a unit more to the left. For 13/6, which is 2 1/6, move to 2 on the number line, then move 1/6 of a unit to the right. This will give you the precise locations of the numbers on the number line.