[Jeff]

yes, that's true tht00. As long as you specify that you are tallking about the repeating decimal, and not just "a lot" of decimal places. However, the repeating decimal is just a convention, and doesn't really express the reality of the number the way a fraction does. I personally dislike them.

and really, only 10=10, not 9 point anything The reason your decimal/fraction comparison of the additions doesn't work is that 1/3 doesn't really equal .33333333 . . ., it's just the closest a decimal could ever get. The limit as the number of decimal places increases to infiinity is 1/3, but you'll never really get to1/3- no matter how many decimal places you add. The same thing goes with 9.999999 . . . Even if you got to infinity, you'd still be missing that one little bit to make it 10. It's like temperatures approaching absolute zero and particles approaching hte speed of light. It just doesn't ever happen.

[Jay42]

To this day, I can recite PI to 47 decimal places (because I had a boring childhood and used to walk aruond reciting it).

Here's the kicker, an astronomer once told me that to know PI that far is wholly unnecessary, as one can draw a circle the size of the known universe and need only 13 of those decimal places.

So that's maybe what tht00 is trying to get at.

But Jeff has a good point with absolute zero, near-speed of light, and other extreme minutia.

[Mr.Zachcore]

your mom is a ten

[Insane Drummer]

Originally Posted by Jeff

yes, that's true tht00. As long as you specify that you are tallking about the repeating decimal, and not just "a lot" of decimal places. However, the repeating decimal is just a convention, and doesn't really express the reality of the number the way a fraction does. I personally dislike them.

and really, only 10=10, not 9 point anything The reason your decimal/fraction comparison of the additions doesn't work is that 1/3 doesn't really equal .33333333 . . ., it's just the closest a decimal could ever get. The limit as the number of decimal places increases to infiinity is 1/3, but you'll never really get to1/3- no matter how many decimal places you add. The same thing goes with 9.999999 . . . Even if you got to infinity, you'd still be missing that one little bit to make it 10. It's like temperatures approaching absolute zero and particles approaching hte speed of light. It just doesn't ever happen.

Jeff speaks the truth!

[Jc]

Fractions ARE much better than decimal. But I also prefer the Dozenal System (aka DouDecimal).

[ImOnFire]

Why does this thread make my eye itch?

[tht00]

Originally Posted by Jc

Fractions ARE much better than decimal. But I also prefer the Dozenal System (aka DouDecimal).

dozenal system? whats that?

my preference is binary. just 1s and 0s. with your 10 fingers, you can count to 1,024. add your toes and you can count to 2^20 (1,048,576).

[jbm222]

my preference is binary. just 1s and 0s. with your 10 fingers, you can count to 1,024. add your toes and you can count to 2^20 (1,048,576). [/QUOTE]

Wow, i never thought of that. But it's TRUE!!!

[Jc]

Yeah Dozenal System 1,2,3,4,5,6,7,8,9,ح,Є,10. Its fun

[Chris]

9.99999999999999999999999999... =/= 10

if it did it'd be written like this: 10

the decimals are inaccurate and unreliable. For true measurements you gotta go with fractions.

Originally Posted by NSJ0309

fractions are for fourth graders.

You've apparently never taken Calculus. Try getting accurate results there with your adult math.

[tht00]

Originally Posted by Jc

Yeah Dozenal System 1,2,3,4,5,6,7,8,9,ح,Є,10. Its fun

and what do those strange characters represent? in that system, does 10 actually = 12?

hexadecimal:
1,2,3,4,5,6,7,8,9,A,B,C,D,E,F

Originally Posted by Chris

9.99999999999999999999999999... =/= 10

if it did it'd be written like this: 10

thats a bad arguement. that'd be like saying:
'4+5 =/= 9'; if it did, it'd be written like this: 9

can you demonstrate that 9.9... (repeating) does not equal 10?

[Jeff]

well, one constant without a math operation is never equal to a different constant without a math operation. That's understood. What makes hte difference is the " . . ." which implies a summation of all the negative powers of ten to infinity. Only if you agree that ". . ." implies a limit statement can you say that 9.999 . . .=10, because then you'd be saying "the limit of blah blah blah as n approaches infinity"=10 *doesn't feel like formulating and hten finding some way to display the actual summation notation*

[Jc]

The first one "ح" is equal to decimal 10, Є is equal to decimal 11; and yes 10 is equal to decimal 12

[Chris]

Originally Posted by Jeff

well, one constant without a math operation is never equal to a different constant without a math operation. That's understood. What makes hte difference is the " . . ." which implies a summation of all the negative powers of ten to infinity. Only if you agree that ". . ." implies a limit statement can you say that 9.999 . . .=10, because then you'd be saying "the limit of blah blah blah as n approaches infinity"=10 *doesn't feel like formulating and hten finding some way to display the actual summation notation*

what he said. One constant does not equal another constant. If we were to graph 9.99999.... one decimal place at a time (ex 9, 9.9, 9.99, 9.999, ...), and connect the dots we'll have a graph with a line that grows steadily closer to 10 but never actually touches or equals 10.