Final answer:
The numbers -1.5 and 1.5 are plotted on a number line, with -1.5 being 1.5 units to the left of the origin and 1.5 being 1.5 units to the right of the origin.
Step-by-step explanation:
To plot the numbers -1.5 and 1.5 on the number line, we need to understand that the number line is a graphical representation of numbers laid out in a straight line, where each point on the line corresponds to a real number. On this line, positive numbers are typically located to the right of the origin (0), while negative numbers are located to the left.
To plot -1.5 (a negative number), we would locate the point 1.5 units to the left of the origin. To plot 1.5 (a positive number), we would locate the point 1.5 units to the right of the origin. The plot would look like this on a number line:
... -2 --- -1.5 --- -1 --- 0 --- 1 --- 1.5 --- 2 ...