View Single Post
  #14   Spotlight this post!  
Unread 27-01-2010, 21:21
Ian Curtis Ian Curtis is offline
Best Available Data
FRC #1778 (Chill Out!)
Team Role: Engineer
 
Join Date: Feb 2005
Rookie Year: 2004
Location: Puget Sound
Posts: 2,520
Ian Curtis has a reputation beyond reputeIan Curtis has a reputation beyond reputeIan Curtis has a reputation beyond reputeIan Curtis has a reputation beyond reputeIan Curtis has a reputation beyond reputeIan Curtis has a reputation beyond reputeIan Curtis has a reputation beyond reputeIan Curtis has a reputation beyond reputeIan Curtis has a reputation beyond reputeIan Curtis has a reputation beyond reputeIan Curtis has a reputation beyond repute
Re: 0.9 repeating = 1?

Quote:
Originally Posted by jmanela View Post
I was googling around today and i came across something rather odd. http://en.wikipedia.org/wiki/0.999.... Now, this wikipidia page claims that .99999 repeating = 1.

Here is a quick algebraic proof to support this,



Now that is an algebraic point of view. I can't speak for calculus because i haven't taken that yet. What is your view on this topic?
You don't need calculus for this, just Series and Sequences which is an Algebra II/Precalc class. (You will make extensive use of series and sequences in Calc II and you will learn to hate them )

http://en.wikipedia.org/wiki/Geometric_series

Consider .9~ to have a seed value of .9 with a ratio of .1. Use the formula proven on the wiki page. Voila!

They also do an example problem under Repeated Decimals.
__________________
CHILL OUT! | Aero Stability & Control Engineer
Adam Savage's Obsessions (TED Talk) (Part 2)
It is much easier to call someone else a genius than admit to yourself that you are lazy. - Dave Gingery
Reply With Quote