1. Don't feel like adding any words...
if you get confused ignore this post and continue your surfing

Help meee!!!

1/9 = .1111...
.
.
9/9 = .9999...

no numbers between 9 and 10
usually 9.5 is between 9 and 10

. (9) (9) (9) (9) (9.5)

110 = (1) (1) (0)
1*100, 1*10, 1 = 100+10+0 = 110

1(1.5)0 = (1) (1.5) (0)
1*100, 10*1.5, 0*1 = 100+15+0 = 115
[EDITED]
(2.1)(10)(3.5) = (2.1)(10)(3.5)
2.1*100, 10*10, 3.5*1 = 210+100+3.5 = 313.5

2.1 10 3.5 = 313.5

im stuck!

2.

3. Perhaps you should have hadded words/commentary! :P

One thing that struck me, in all the blooming, buzzing confusion (cf William James), was this:

(2.1)(10)(3.5) = (2.1)(10)(3.5)
2.1*10, 10*10, 3.5*1 = 21+100+3.5 = 124.5

Why not

(2.1)(10)(3.5) = (2.1)(10)(3.5)
2.1*100, 10*10, 3.5*1 = 210+100+3.5 = 313.5 ?

4. Originally Posted by sunshinewarrio
Perhaps you should have hadded words/commentary! :P

One thing that struck me, in all the blooming, buzzing confusion (cf William James), was this:

(2.1)(10)(3.5) = (2.1)(10)(3.5)
2.1*10, 10*10, 3.5*1 = 21+100+3.5 = 124.5

Why not

(2.1)(10)(3.5) = (2.1)(10)(3.5)
2.1*100, 10*10, 3.5*1 = 210+100+3.5 = 313.5 ?
yeah thats mighty retarded of me
but it doesn't change the impact of my post. i'm stuckkkkk!

5. The first part of your post, with the tricksy little decimal expansion, seems quite different from the second part that simply explains how Base 10 is to be interpreted. I see no problems with the second part. What problems do you have with it?

FWIW in the first part, if we are talking about it in Base 10 terms, then we might be able to say something like this:

0.99999999999....

= 0*1 + 9*0.1 + 9*0.01 + 9*0.001 ...

= 9*(0.1 + 0.01 + 0.001 + 0.0001...)

And then take the limit of the infinite series to show that

9*(0.1 + 0.01 + 0.001...) = 9*(1)

= 9

Thereby returning to your original equation.

6. abc.xyz
is a number where a is the hundreds place, b is the tens place, c is the onces place, x is the tenths place, y is the hundredths place, and z is the thousandths place.

i want to write that number without having a separator from whole numbers and fractions. Something like a number system that consists of a whole number base(?) without a separating decimal. sorry if you couldn't follow that.

I can write 313 and a half by writing 313 then . (dot) then 5 (to represent 5/10 = 1/2 = half)

but i do not want to use that decimal separator.
so i rewrote it in (2.1)(10)(3.5) = 2.1 10 3.5 = a number = 313.5

but i'm stuck here!

what do i mean by "stuck"?
I just don't know what to do...

this is still base 10.
I don't want a base 10! i was thinking a base infinity but the "tenths place" would never come in handy. unless....
1 2 =
1*(infinity) + 2*1 = 2*(infinity)

8 2 4 =
8*infinity^2 + 2*infinity + 4*1 = 8x^2 + 2x +4 (treat infinity like a variable)

but im stuck here again...
using base infinity to display the number 313.5???
gahhh

once again sorry for the lack of commentary. its your choice if you choose to understand this...

7. I dont understand exactly what you're trying, but why not do what Sunshinewarrior said, using fractions instead of decimals:

Originally Posted by sunshinewarrio
The first part of your post, with the tricksy little decimal expansion, seems quite different from the second part that simply explains how Base 10 is to be interpreted. I see no problems with the second part. What problems do you have with it?

FWIW in the first part, if we are talking about it in Base 10 terms, then we might be able to say something like this:

0.99999999999....

= 0*1 + 9*0.1 + 9*0.01 + 9*0.001 ...

= 9*(0.1 + 0.01 + 0.001 + 0.0001...)

And then take the limit of the infinite series to show that

9*(0.1 + 0.01 + 0.001...) = 9*(1)

= 9

Thereby returning to your original equation.
For example, 1=1/1, 0.1=1/10, 0.01=1/100...etc. That way you dont have to have decimals at all.

8. Originally Posted by bit4bit
I dont understand exactly what you're trying, but why not do what Sunshinewarrior said, using fractions instead of decimals:

Originally Posted by sunshinewarrio
The first part of your post, with the tricksy little decimal expansion, seems quite different from the second part that simply explains how Base 10 is to be interpreted. I see no problems with the second part. What problems do you have with it?

FWIW in the first part, if we are talking about it in Base 10 terms, then we might be able to say something like this:

0.99999999999....

= 0*1 + 9*0.1 + 9*0.01 + 9*0.001 ...

= 9*(0.1 + 0.01 + 0.001 + 0.0001...)

And then take the limit of the infinite series to show that

9*(0.1 + 0.01 + 0.001...) = 9*(1)

= 9

Thereby returning to your original equation.
For example, 1=1/1, 0.1=1/10, 0.01=1/100...etc. That way you dont have to have decimals at all.
I want to mix fractions in a base 10 structure.

9. Do you mean like:

3135*10<sup>-1</sup> = 313.5
abcxyz*10<sup>-3</sup> = abc.xyz

10. Why do you want to mix fractions and decimals? Doing so introduces a lot of ambiguity into expressions. Decimals expansions are essentially unique, and fractions, although not unique, do always have an obvious choice--r/s, where r and s are integers sharing no common factors and s > 0. A system mixing the two loses this nice property, as far as I can tell. If you were to choose a representative for each number satisfying some nice criteria, you'd probably end up with pure decimals or pure fractions.

11. Originally Posted by bit4bit
Do you mean like:

3135*10<sup>-1</sup> = 313.5
abcxyz*10<sup>-3</sup> = abc.xyz
no because that is just like abc.xyz in disguise.

serpicojr, i'm not asking to replace fractions, just thinking of a different way

12. Originally Posted by DivideByZero
no because that is just like abc.xyz in disguise.
Surely any correct representation of abc.xyz without using decimal places is abc.xyz in disguise?

13. Originally Posted by bit4bit
Originally Posted by DivideByZero
no because that is just like abc.xyz in disguise.
Surely any correct representation of abc.xyz without using decimal places is abc.xyz in disguise?
in a sense, i guess.
but i couldn't word it any other way you know..

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