0.9999.... = 1.0

[Soleron]

MDMAlliance said:

Soleron said:

Jay520 said:

...

Better picture:

This explanation, and the realisation that a single number can have more than one representation in decimal numbers (example: 0.35, 0.350, 0.3500, 0.35000... are all the same number) should be enough for anyone numerate. There is no dispute, it's the same quantity as 1 represents.

I take it math isn't your strong subject?  That or you haven't taken higher levels of math.  The whole distinction for 0.35 and 0.350 and going on is mostly a distinction made for science.  They use it to keep their "significant figures" as they need to keep their measurements as accurate as they were able to measure, whatever they were measuring, with.

Top-10 university Physics degree with considerable maths content. It's just an example to show that two different decimal numbers equal the same number, which is usually the hurdle for not understanding this problem.

You can try to make "proofs" that .9 repeating = 1, but this only can work if you ignore the fact that our decimal system doesn't work perfectly.

They're not proofs that .9999=1, they're examples that show they both represent the same number.

Nothing in this thread so far is a rigorous proof, but that doesn't change the conclusion.