Products You Never Knew Existed

[Happy Monkey]

Originally Posted by ZenGum

Think of the number line. Zero in the middle, negatives off to the left, positives off to the right. .9r would be immediately to the left of 1. We zoom in, closer and closer; .9r is always abutting 1 on 1's left, but never quite in the same place. Keep zooming, it is always there.

How can you tell they're not in the same place? There's no space between them. No matter how much you zoom in, that space will never open up.

0.9 < 1
0.99 < 1
0.999 < 1
0.9999 < 1

etc

0.999999999999999999999999999999999999999999999 < 1

Observation: adding more nines does not change the fact that it is less than one, no matter how many you add.

Infinity is different. For example:
No matter how many finite numbers you add together, you will never reach infinity - unless you add an infinite number of numbers.
Likewise, no matter how many nines you add to 0.9999..., you will never reach one - unless you add an infinite number of nines.

Originally Posted by Rhianne

http://en.wikipedia.org/wiki/0.999...

That's the page I tried to copy-and-paste the proper barred number from.

[Gravdigr]

Originally Posted by Happy Monkey

Likewise, no matter how many nines you add to 0.9999..., you will never reach one - unless you add an infinite number of nines.

Observation: adding more nines does not change the fact that it is less than one, no matter how many you add.

I think you'll have to subtract a finite number of decimal points to ever get to 1.

[Gravdigr]

'Sall I know. 'Sall I'm sayin'.

[wolf]

Originally Posted by Gravdigr

'Sall I know. 'Sall I'm sayin'.

Attachment 37552

So, assuming that it is not merely a phone that looks like a mouse, or a mouse that looks like a phone (much like the mouses that look like mice or eight balls), I presume that like many hybrid devices, it does neither duty well.

[Happy Monkey]

Originally Posted by Gravdigr

I think you'll have to subtract a finite number of decimal points to ever get to 1.

I don't understand. Subtract decimal points?

[Gravdigr]

Originally Posted by Happy Monkey

I don't understand. Subtract decimal points?

The infinite number of nines will still be less than one. You'll have to remove the decimal point completely to get to one. As in, a decimal point, then a billion nines is still less than one.

Originally Posted by Happy Monkey

Likewise, no matter how many nines you add to 0.9999..., you will never reach one - unless you add an infinite number of nines.

The number of nines is irrelevant, it'll always be less than one.

Observation: adding more nines does not change the fact that it is less than one, no matter how many you add.