The recurring decimal

Originally posted by tvochess
And by the way: 0,99.. = 1

Agree.

Originally posted by FabianFnas
How do you define a hypotenuse in terms of caaalcuuuluuuuussss?

*Sigh*

You don't. That's the ensanguined point.

Richard

Originally posted by Shallow Blue
*Sigh*

You don't. That's the ensanguined point.

Richard

So you're basically telling us that you cannot use caaalcuuuluuuuussss in geometrical problems? Is that your Nobel Price worth genius conclusion?

What's your problem?

Originally posted by FabianFnas
What's your problem?

My problem is that you're pretending to be an idiot, and this is not behaviour I used to be used to from you.

Have you joined the Witnesses in your absence, or what gives?

Richard

Originally posted by Shallow Blue
My problem is that you're pretending to be an idiot, and this is not behaviour I used to be used to from you.

Have you joined the Witnesses in your absence, or what gives?

Richard

Calm down, don't go ape. Just answer my question and don't act as a JWer creationist. I know that you are more intelligent than that.

Originally posted by FabianFnas
Calm down, don't go ape. Just answer my question and don't act as a JWer creationist. I know that you are more intelligent than that.

*PLONK*

Originally posted by FabianFnas
So you're basically telling us that you cannot use caaalcuuuluuuuussss in geometrical problems? Is that your Nobel Price worth genius conclusion?

What's your problem?

Just on a point of order there is no nobel prize for mathematics so it would have to be worth something else instead.

That would be the Fields Medal then.

CALCUUUUULUUUUUUUUS!

K. So, I didn't actually see this answered, and I think I might know the simplest way to do it.

You want to translate fractions to decimals, right? This requires division.

Fraction: 1/9
to translate, divide the numerator by the denominator. I'm going to do it the "long way", for the purpose of demonstration.

9|1

9 fits into 1 how many times? 0. so, since we all agree that 1.0 is the same thing as 1, that is what we will change it to.

.1
9|1.0
-9
1

9 fits into 1.0 how many times? .1. however, this is not completely resolved as we still have leftover numbers. In other words, 1 is not EVENLY divisible 9. See, in this step, 9 will still have to fit into 10, because that is the number that is left. (everybody knows how long division works, right?)

Now, certain fractions cannot be accurately translated into decimal form. A fraction is basically just a division problem no one bothered to work out. This is because the answer never stops. It goes on and on, forming a repeating decimal. For example: 1/9=0.11...
This is the closest you can get to the fraction, because the repeating never stops.

Now we will try the same way that we translated the last fraction, but this time using 9/9.

9|9 9 fits into 9 how many times? 1. 1 time. therefore, the answer is 1
because it is perfectly even and divisible.

Although this doesn't make much sense, that is when you are using some odd form of algebra... It really doesn't work that way.

Consider like this!

1/9=0.11...
9/9=1
how?
9/9 is 9 1/9. This means that 1/9+1/9+1/9+1/9+1/9+1/9+1/9+1/9+1/9=9/9.
In order to prove that 9/9 is indeed 1, and not some other wacky number, we must say that the above equation is translatable into decimals, and does indeed equal 1.
does 0.11...+0.11...+0.11...+0.11...+0.11...+0.11...+0.11...+0.11...+0.11...+=1?
Yuppers. So, that means that 9/9 MUST DEFINITELY equal 1.

Here are some proofs:
http://en.wikipedia.org/wiki/0.999...

Taxicab example:


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

How about searching on google?