SOLUTION: How might you argue that there are infinitely many terminating decimals between any two specific terminating decimals such as 0.0625 and 0.125? Thanks so much.

Algebra ->  Decimal-numbers -> SOLUTION: How might you argue that there are infinitely many terminating decimals between any two specific terminating decimals such as 0.0625 and 0.125? Thanks so much.      Log On


   

Question 232013: How might you argue that there are infinitely many terminating decimals between any two specific terminating decimals such as 0.0625 and 0.125?
Thanks so much.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
0.0625 = 1/16
0.125 = 1/8

The midpoint of 1/16 and 1/8 is between the two numbers: 3/32.

From there, you can find the midpoint between 1/16 and 3/32. You can also find the midpoint between 3/32 and 1/8. You can extend this forever.