YAMP
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Yet Another Math Puzzle Proof that playing math games with smart people isn't fun. If I gave that to my friends, they wouldn't be able to spot it for at least a little bit. Anyway, here's another one:
The following is what seems to be a mathematical proof that ten equals 9.999999.... What's wrong with it?
a = 9.999999... 10a = 99.999999...10a - a = 90
9a = 90
a = 10
I don't know whether it's just the light but I swear the database server gives me dirty looks everytime I wander past. -Chris Maunder Microsoft has reinvented the wheel, this time they made it round. -Peterchen on VS.NET
This may not be right, but...
a = 9.9999... = 10 - 1/infinity 10a = 99.9999... = 100 - 10/infinity10a - a = 90? no
10a - a = (100 - 10/infinity) - (10 - 1/infinity)
= ( 90 - 9/infinity) = 89.9999999...------------------------------------------ "Isn't it funny how people say they'll never grow up to be their parents, then one day they look in the mirror and they're moving aircraft carriers into the Gulf region?" - The Onion
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Assume that the .999999... part goes on ad infinitum.;P
I don't know whether it's just the light but I swear the database server gives me dirty looks everytime I wander past. -Chris Maunder Microsoft has reinvented the wheel, this time they made it round. -Peterchen on VS.NET
Isn't the second line wrong? 10a = 99.999999...0 :-)
he he he. I like it in the kitchen! - Marc Clifton (on taking the heat when being flamed) Awasu v0.4a[^]: A free RSS reader with support for Code Project.
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Isn't the second line wrong? 10a = 99.999999...0 :-)
he he he. I like it in the kitchen! - Marc Clifton (on taking the heat when being flamed) Awasu v0.4a[^]: A free RSS reader with support for Code Project.
I don't think so. Multiplying it by 10 just shifts the decimal place right by one place. Chris Richardson Programmers find all sorts of ingenious ways to screw ourselves over. - Tim Smith
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If the .999 goes on forever, all that's different is that the 1 will be way further out. Chris Richardson Programmers find all sorts of ingenious ways to screw ourselves over. - Tim Smith
No it won't. The repeating nines will cancel each other out. If you have 3.99... - 3.99... doesn't that equal 0?
I don't know whether it's just the light but I swear the database server gives me dirty looks everytime I wander past. -Chris Maunder Microsoft has reinvented the wheel, this time they made it round. -Peterchen on VS.NET
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Yet Another Math Puzzle Proof that playing math games with smart people isn't fun. If I gave that to my friends, they wouldn't be able to spot it for at least a little bit. Anyway, here's another one:
The following is what seems to be a mathematical proof that ten equals 9.999999.... What's wrong with it?
a = 9.999999... 10a = 99.999999...10a - a = 90
9a = 90
a = 10
I don't know whether it's just the light but I swear the database server gives me dirty looks everytime I wander past. -Chris Maunder Microsoft has reinvented the wheel, this time they made it round. -Peterchen on VS.NET
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I don't think so. Multiplying it by 10 just shifts the decimal place right by one place. Chris Richardson Programmers find all sorts of ingenious ways to screw ourselves over. - Tim Smith
Not true (I think :~) Multiplying by ten doesn't mean you play games with the symbols you use to write the number with, it means you add it ten times. Multiplying by 10 has the side-effect of "moving the decimal place" but: 1.234 * 10 = 12.340 if you want to keep the same number of decimal places. But this doesn't work if you have an infinite number of decimal places i.e. 9.999... * 10 != 99.999... Brit posted something where he used 1/infinity but you can't do that. Infinity is a concept, not a number.
he he he. I like it in the kitchen! - Marc Clifton (on taking the heat when being flamed) Awasu v0.4a[^]: A free RSS reader with support for Code Project.
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No it won't. The repeating nines will cancel each other out. If you have 3.99... - 3.99... doesn't that equal 0?
I don't know whether it's just the light but I swear the database server gives me dirty looks everytime I wander past. -Chris Maunder Microsoft has reinvented the wheel, this time they made it round. -Peterchen on VS.NET
not true, we have to assume that
aand10ahave the same number of significant digits.What this means is that:a = 9.999 ... 999
then
10a = 99.99 ... 990
thus
10a - a = 89.99 ... 991Notorious SMC
The difference between the almost-right word & the right word is a really large matter - it's the difference between the lightning bug and the Lightning Mark Twain
Get your facts first, and then you can distort them as much as you please Mark Twain -
Nothing! 10 is an asymptote. It's like having:
\_ \_ | 1 |lim |y = --- | ====> y = 0
| x | x-->(infinity)
¯ ¯- Nitron
"Those that say a task is impossible shouldn't interrupt the ones who are doing it." - Chinese Proverb
X| X| X| X| Arrghh! I thought i left all those calculus back in College!! :Runs around in fear, remembering the nightmare of calculus: Notorious SMC
The difference between the almost-right word & the right word is a really large matter - it's the difference between the lightning bug and the Lightning Mark Twain
Get your facts first, and then you can distort them as much as you please Mark Twain -
Yet Another Math Puzzle Proof that playing math games with smart people isn't fun. If I gave that to my friends, they wouldn't be able to spot it for at least a little bit. Anyway, here's another one:
The following is what seems to be a mathematical proof that ten equals 9.999999.... What's wrong with it?
a = 9.999999... 10a = 99.999999...10a - a = 90
9a = 90
a = 10
I don't know whether it's just the light but I swear the database server gives me dirty looks everytime I wander past. -Chris Maunder Microsoft has reinvented the wheel, this time they made it round. -Peterchen on VS.NET
I like this version: 0.9 / 9 = 0.1 1 / 9 = 0.1 Thus 0.9 = 1 :cool: --Mike-- When 900 years old you reach, look as good you will not. Hmm. 1ClickPicGrabber - Grab & organize pictures from your favorite web pages, with 1 click! My really out-of-date homepage Sonork-100.19012 Acid_Helm
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Yet Another Math Puzzle Proof that playing math games with smart people isn't fun. If I gave that to my friends, they wouldn't be able to spot it for at least a little bit. Anyway, here's another one:
The following is what seems to be a mathematical proof that ten equals 9.999999.... What's wrong with it?
a = 9.999999... 10a = 99.999999...10a - a = 90
9a = 90
a = 10
I don't know whether it's just the light but I swear the database server gives me dirty looks everytime I wander past. -Chris Maunder Microsoft has reinvented the wheel, this time they made it round. -Peterchen on VS.NET
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Yet Another Math Puzzle Proof that playing math games with smart people isn't fun. If I gave that to my friends, they wouldn't be able to spot it for at least a little bit. Anyway, here's another one:
The following is what seems to be a mathematical proof that ten equals 9.999999.... What's wrong with it?
a = 9.999999... 10a = 99.999999...10a - a = 90
9a = 90
a = 10
I don't know whether it's just the light but I swear the database server gives me dirty looks everytime I wander past. -Chris Maunder Microsoft has reinvented the wheel, this time they made it round. -Peterchen on VS.NET
if your assumption is > a = 9.999999... > 10a = 99.999999... > 10a - a = 90 > 9a = 90 > a = 10 change a to 1.1111111... or 2.22222222... or 3.33333333... or ......... the result are the same that ten will equal 1.111111... or 2.222222... or 3.333333... or ...... :)
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Yet Another Math Puzzle Proof that playing math games with smart people isn't fun. If I gave that to my friends, they wouldn't be able to spot it for at least a little bit. Anyway, here's another one:
The following is what seems to be a mathematical proof that ten equals 9.999999.... What's wrong with it?
a = 9.999999... 10a = 99.999999...10a - a = 90
9a = 90
a = 10
I don't know whether it's just the light but I swear the database server gives me dirty looks everytime I wander past. -Chris Maunder Microsoft has reinvented the wheel, this time they made it round. -Peterchen on VS.NET
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Yet Another Math Puzzle Proof that playing math games with smart people isn't fun. If I gave that to my friends, they wouldn't be able to spot it for at least a little bit. Anyway, here's another one:
The following is what seems to be a mathematical proof that ten equals 9.999999.... What's wrong with it?
a = 9.999999... 10a = 99.999999...10a - a = 90
9a = 90
a = 10
I don't know whether it's just the light but I swear the database server gives me dirty looks everytime I wander past. -Chris Maunder Microsoft has reinvented the wheel, this time they made it round. -Peterchen on VS.NET
It's the second line. You must see it as: a = 9.999999... 10a = 10(9.999999...) 10a - a = 9(9.999999...) - - - - - - - - - - - - - - - - - - Memory leaks is the price we pay \0 01234567890123456789012345678901234
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if your assumption is > a = 9.999999... > 10a = 99.999999... > 10a - a = 90 > 9a = 90 > a = 10 change a to 1.1111111... or 2.22222222... or 3.33333333... or ......... the result are the same that ten will equal 1.111111... or 2.222222... or 3.333333... or ...... :)
No:
a = 1.111...
10a = 11.111...
10a - a = 10
9a = 10
a = 10 / 9 = 1 + 1/9a = 2.222...
10a = 22.222...
10a - a = 20
9a = 20
a = 20 / 9 = 2 + 2/9etc.
"These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer
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Not true (I think :~) Multiplying by ten doesn't mean you play games with the symbols you use to write the number with, it means you add it ten times. Multiplying by 10 has the side-effect of "moving the decimal place" but: 1.234 * 10 = 12.340 if you want to keep the same number of decimal places. But this doesn't work if you have an infinite number of decimal places i.e. 9.999... * 10 != 99.999... Brit posted something where he used 1/infinity but you can't do that. Infinity is a concept, not a number.
he he he. I like it in the kitchen! - Marc Clifton (on taking the heat when being flamed) Awasu v0.4a[^]: A free RSS reader with support for Code Project.
Brit posted something where he used 1/infinity but you can't do that. Infinity is a concept, not a number. I thought I heard once that "not all infinities are the same". ------------------------------------------ "Isn't it funny how people say they'll never grow up to be their parents, then one day they look in the mirror and they're moving aircraft carriers into the Gulf region?" - The Onion
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Brit posted something where he used 1/infinity but you can't do that. Infinity is a concept, not a number. I thought I heard once that "not all infinities are the same". ------------------------------------------ "Isn't it funny how people say they'll never grow up to be their parents, then one day they look in the mirror and they're moving aircraft carriers into the Gulf region?" - The Onion
Yep. For example, say A is the set of all positive, non-zero integers. This is a set of infinite size, of course. Let B be the set of all non-zero integers, positive and negative which is also of infinite size. But for every element in A, there are 2 in B e.g. the number 10 in A corresponds to +10 and -10 in B. So B is twice as big as A. It's a long time since I did any of this but I think to be of "infinite" size means to be uncountable but you can still set up mappings between uncountable sets like the one above and compare their sizes.
he he he. I like it in the kitchen! - Marc Clifton (on taking the heat when being flamed) Awasu v0.4a[^]: A free RSS reader with support for Code Project.
