The following answers the Problem of the Week from May 7, 2012:

One of the simplest ways to prove that 0.999999 = 1 is by doing the following:

- 0.333333 = 1 / 3
- 3 × (0.333333) = 3 × (1 / 3)
- 0.999999 = 1

As shown above, since it is true 0.333333 is the way to represent 1 / 3 in decimal form, it follows mathematically that 0.999999 is an alternative way to represent 1 in decimal form. A more extensive discussion can be found here on Wikipedia.

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## POW – 0.99999 Repeating Equals One? | Chris West's Blog · May 14, 2012 at 3:23 PM

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