Answer: [tex]3[/tex] and [tex]13[/tex]
Step-by-step explanation:
Observe the number line attached.
In order to find which numbers are a distance of [tex]5\ units[/tex] from [tex]8[/tex] on a number line, you can follow these steps:
First step: You must locate the number [tex]8[/tex] on the number line.
Second step: Move [tex]5\ units[/tex] to the left. Notice that the distance between the numbers [tex]3[/tex] and [tex]8[/tex] is [tex]5\ units[/tex]
Third step: Move [tex]5\ units[/tex] to the right. Observe that the distance between the numbers [tex]13[/tex] and [tex]8[/tex] is [tex]5\ units[/tex]
You can also verify this through the following addition and subtraction:
[tex]8-5=3\\\\\\8+5=13[/tex]
Therefore, the numbers that are a distance of [tex]5\ units[/tex] from [tex]8[/tex] on a number line, are:
[tex]3[/tex] and [tex]13[/tex]
