Point nine recurring equals one

[DeLoreanBrown]

It is proven to be unity. I will do it right here.

Geometric series sum is taught in every college algebra/calculus textbook, btw.

0.999.... (repeating) is identical to 1

yep , so .3.. x 3 = .9.. and also 1 as they are identical

 

[Randymcchickenf]

0.9999999 can go on to as many decimals as is needed so basicly it is as close to 1 as is it can possibly be. Therefore they are practicly the same thing. It isnt neccesary for there to be a difference as the difference is infinatly small

 

[RedWolfRacer]

Now if only merchants such as wal-mart and target would get it through their heads that $1.99 dollars is just $2 to us normal folks! lol I get sick of seing things for a few pennies short of a dollar when they're gonna add tax anyway. Unless, of course, you live or buy things on a military installation in which case very few people carry 98 or 99 cents on them. Unless by 99 cents you mean $1.

 

[Famine]

Remind them of that next time you fill up with gas...

 

[RedWolfRacer]

Remind them of that next time you fill up with gas...

It's a good thing I don't have a car!

*stays home and cries to self*

 

[niky]

The universe would have ended before I was done - Pi is infinite.

However, it's only infinite from a decimal point of view. In BasePi it's 10.

Doesn't Pi reflect the curvature of the Universe? In a perfect 3 dimensional world, shouldn't it be 3?

 

[ferrari_chris]

The universe would have ended before I was done - Pi is infinite.

However, it's only infinite from a decimal point of view. In BasePi it's 10.

Wouldn't Pi be 1, not 10?

 

[niky]

Nah... it'd be ten. But can you actually have a Base Pi? Since Pi doesn't break down into whole numbers...

 

[VT]

Wow .. now I'm glad I am no longer majoring in Math.

 

[amp88]

But we are talking about .999... recurring to infinity, not any sort of terminating decimal. Without being rigorus, you can see in that computation that 10/0.999.... = 10 exactly, when you account for an infinite muber of digits.

0.9999 is not 1, it's 9999/10000.
0.9999.... is 1.

Exactly my point...you can't faithfully represent 0.9 recurring in a calculation. At some point, you're always going to have to terminate it. 0.9 recurring only 'works' in theory...

 

[DeLoreanBrown]

I feel extremely pwned by this , Famine is entirely correct in saying .3.......... X 3 does not equal 1 . & skip5er also makes me wonder how you can forget a sum in series , this is what comes from pissing your life away & not reading posts in series before opening your cakehole 👎👎👎

 

[GilesGuthrie]

I'm sure that the engineer would just crane the lunch table over to him...

The whole division by three scenario is an interesting illustration of why the ordering of mathematical functions is important:

(3 * 1) / 3 != 3 * (1 / 3).

This example assumes using a calculator and not fractions.

There is a school of thought that financial software should always multiply the number of pounds/dollars/euro etc by 100, so that there are never any cents/pence/cents etc. That way the program can run more accurately and efficiently by only dealing in integers.

 

[skip0110]

Exactly my point...you can't faithfully represent 0.9 recurring in a calculation. At some point, you're always going to have to terminate it. 0.9 recurring only 'works' in theory...

Ahh, I see your point now. Yes, if you operate in the computational world of computers/calculators, they aren't equal. But ideally they are.

 

[Randymcchickenf]

the only problem eith the whole thing is that 10 * 0.9999... doesnt equal 9.99999
exactly

 

[Danny]

 

[Randymcchickenf]

ok..random...lovely bit of 3.1415...