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Avatar of Chessguy2

I just wanted to say 1=.9 repeating, any one differ?

Avatar of shadowslayer

Me.

Avatar of Chessguy2

why?

Avatar of shadowslayer

Because 1=1
so
1 cannot = .9 repetitive

A mathematical value cannot have multiple value's, because it is a single value.

Avatar of check2008

That's what I used to think too Shadow. But unfortunately, I was wrong. The algebraic proof can easily be seen here:

http://en.wikipedia.org/wiki/.999

.999 repeating does in fact equal 1.

Avatar of Chessguy2
check2008 wrote:

That's what I used to think too Shadow. But unfortunately, I was wrong. The algebraic proof can easily be seen here:

http://en.wikipedia.org/wiki/.999

.999 repeating does in fact equal 1.


darn I wanted to prove it, it missed one though: 1/11=.09090909 reapeating and 10/11= .90909090 reapeating 11/11=.9999 reapeating.

Avatar of Knight_king1014

Interesting 🤔🤔🤔

Avatar of Festerthetester

Proof that math, which is held to be the untimate logical proof, is illogical.

By the 'logic' of this premise, the use of .999 repeating is a useless figure in math and any equation using it should simply be reduced to 1.  Tell this illogical suggestion to a super computer calculating the astronomical distances to stars or the numbers of atoms in the universe.

There is a function in math that requires precision.  Rounding is never precise.

1 + .999 does not and never will = 2.

Avatar of taseredbirdinstinct
Festerthetester wrote:

Proof that math, which is held to be the untimate logical proof, is illogical.

By the 'logic' of this premise, the use of .999 repeating is a useless figure in math and any equation using it should simply be reduced to 1.  Tell this illogical suggestion to a super computer calculating the astronomical distances to stars or the numbers of atoms in the universe.

There is a function in math that requires precision.  Rounding is never precise.

1 + .999 does not and never will = 2.

You are experiencing self imposed mental gymnastics, both are useful and both are true.

Avatar of Festerthetester

  It takes no mental effort to understand that 1 +  n<1 can not = 2.

Avatar of czechsalmon

0.99<1
Avatar of czechsalmon
If you don’t know a number with a line on top mean it goes for infinite (we’ll in the French system) and I tried to put a line above 99 but it went on 09
Avatar of czechsalmon
Plus 1+1=2 0.99+0.99+188 (all 99 and 88 go to infinite)
Avatar of czechsalmon
1.88*
Avatar of Festerthetester

This concept is similar to Pi.  Pi is not an actual number.  It is an approximation.  There is no actual number that you can use to multiply the diameter of a circle by to get an exact circumference.

Avatar of Mathemagician_2

Nope.

But for instance;

(.1)+(.01)+...+(10^-infinity) does not equal 1/9 but is (1/9)-1/infinity which is an unmeasurable approxmination of 1/9, but is not 1/9.

Avatar of Mathemagician_2

(1/infinity)^-1=infinity/1

While (-1/infinity)^-1=

-infinity

But 0^-1=1/0, which is equivalent to both.

https://www.chess.com/forum/view/off-topic/1-infinity-does-not-equal-0-part-2

Avatar of Festerthetester

Most of these math concepts have no function in everyday life but they are far from useless.

Avatar of Knight_king1014

Because 1 - 0.(9) is equal to an infinitely small number 0.(0)1 it is clear why there is such confusion.

Avatar of Knight_king1014

So 1 isn't equal to 0.(9) bit it is ALMOST equal.