A number line is a system of showing the locations or positions of directed numbers from the mid point (0).
[tex]-\frac{3}{2}[/tex], [tex]-\frac{5}{4}[/tex], [tex]-\frac{2}{3}[/tex], [tex]-\frac{1}{2}[/tex]
A number line is a system used to show the appropriate locations of directed numbers from the origin (0). A directed number is a number which is either positive or negative. Examples are: -4, 2, 5, -9, [tex]\frac{1}{2}[/tex], +4, +1, etc.
Considering the given question, the given weights in pounds of dogie eaten are:
[tex]-\frac{2}{3}[/tex], [tex]-\frac{3}{2}[/tex], [tex]-\frac{1}{2}[/tex], [tex]-\frac{5}{4}[/tex]
To determine the order from most to fewest pound eaten:
the lowest common factor of the given weights is 12, so that;
[tex]\frac{-8, -18, -6, -15}{12}[/tex]
Thus, the order from most pound eaten to fewest pound eaten is:
[tex]-\frac{3}{2}[/tex], [tex]-\frac{5}{4}[/tex], [tex]-\frac{2}{3}[/tex], [tex]-\frac{1}{2}[/tex]
The number line to show the positions of the numbers is attached to this answer for more clarifications.
For more on number system, check: https://brainly.com/question/12399107