To determine the order in which the numbers [tex]\(4, -6, -8\)[/tex], and [tex]\(-3\)[/tex] would appear on a horizontal number line, we need to compare their values and arrange them from the smallest to the largest.
1. Identify the numerical values:
[tex]\[
4, -6, -8, -3
\][/tex]
2. Arrange the numbers in ascending order:
[tex]\[
-8, -6, -3, 4
\][/tex]
In this arrangement, [tex]\(-8\)[/tex] is the smallest number, followed by [tex]\(-6\)[/tex], then [tex]\(-3\)[/tex], and finally [tex]\(4\)[/tex], which is the largest.
Thus, the numbers will appear in the order:
[tex]\[
-8, -6, -3, 4
\][/tex]
Therefore, the list that shows the numbers in the order in which they would appear from left to right on the number line is:
[tex]\[
-8, -6, -3, 4
\][/tex]
