++ Definition 4: Distance
The distance between two numbers $a$ and $b$ is the absolute value of their difference, $|a-b|$.

Todo

  • Explain why this is a reasonable definition for distance. Perhaps some examples would be helpful.
Definition of Distance: A measurement of the two interval between two locations. Although this doesn't still conclude the definition. We have to consider the fact how far is this point from that point.
For example: In order to find the distance between two numbers in the number line like 1 and 6 would be 5 because simply you can do 6-1 = 5 thus this gives us the distance between the 1 and 6 in the number line. There is one problem here though because when we do 1-6 to find the distance we end up getting -5 hence that is not the same as doing 6-1 because negative numbers don't do us any good when we are trying to find the distance between two numbers in the number line. So what we need to do is introduce the absolute value in here. So doing the absolute value of |6-1| = 5 and |1-6| = 5 would give us the same value for the distance between 1 and 6 because if the quantity in the absolute value is a positive number then the absolute value bars don't change anything but if the the quantity in the absolute value is negative number then the absolute value bars do change the number to positive outcome.Homework%208-29.pdf