SOLUTION: Question: Let a < b. Show that (a+b)/2 is the midpoint between a and b on the number line. I think that you use the metric way to slove this but I am not sure as to how to d

Algebra ->  Inequalities -> SOLUTION: Question: Let a < b. Show that (a+b)/2 is the midpoint between a and b on the number line. I think that you use the metric way to slove this but I am not sure as to how to d      Log On


   

Question 40732: Question:

Let a < b. Show that (a+b)/2 is the midpoint between a and b on the number line. I think that you use the metric way to slove this but I am not sure as to how to do that. Thanks
Julie
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
The mean or average tells you to add up numbers and divide the sum by the amount of numbers to get the midpoint. a+%3C+b is just a limitation to the available points to pick, but the average property tells you that is the way to find the midpoint.
Example:
<-----(-1)-----(0)-----(1)----->
(a + b)/2 = M
(-1 + 1)/2 = M
(0)/2 = M = 0