can someone explain to me how .999... on to infinity is equal to 1? is it even?
2006-06-09 17:25:09 · 11 answers · asked by FireAnt 1 in Science & Mathematics ➔ Mathematics
This is actually a very classic problem you ask. 3/3 does equal 0.999... but it also equals 1.
Look at this link for further explanation: http://mathforum.org/dr.math/faq/faq.0.9999.html
2006-06-09 17:33:07 · answer #1 · answered by Jay 2 · 2⤊ 3⤋
3/3 = 1 and not .999 because 1/3 doesn't equal .333 exactly. There is no way to divide it evenly, so the .333 continuing is just an estimation. The closest we can get to one third of 3 is that number, so we just use that for a temporary substitute so we can finish math problems.
A true "third" of 3 would go into 3 exactly 3 times, but it doesn't exist.
2006-06-10 00:29:06 · answer #2 · answered by The Yiddish 2 · 0⤊ 0⤋
It's a calculator error... because you're working in base 10 and not base 3 math... 1/3 can not be solved in base 10 calculations, the 0.3333 is an estimate only, not the actual answer... when your base isn't 10 it works out just fine, 0.99999 to infinity is equal to 1 because it is an estimate, not an exact figure... If you think about it, you can divide a circle into three equal parts and put them back together you aren't missing a tiny piece... it's just they way you are thinking about the problem...
2006-06-10 00:30:32 · answer #3 · answered by tripforyou 5 · 0⤊ 0⤋
here is the reason why
(1/3) + (2/3) = (3/3)
or
.333333333 + .66666666 = .9999999 which equal 1
The reason is because when you (2/3), when the end of it is reach, you will get .66666666 to become .666666667 because it gets rounded, so when you have
(1/3) + (2/3) = (3/3)
it becomes
.333 + .667 = 1
also when the end of .999 is reached, it too gets rounded, and you get 1 as the answer.
2006-06-10 01:29:51 · answer #4 · answered by Sherman81 6 · 0⤊ 0⤋
1/3=.33333 has nothing to do with 3/3 equaling one. 3/3 is an exact number. a whole number.
2006-06-10 00:29:35 · answer #5 · answered by vita 3 · 0⤊ 0⤋
Easy. Let x=0.99999999...
So, 10x=9.9999999...
10x-x=9
9x=9
So, 0.99999...=1
2006-06-10 00:41:09 · answer #6 · answered by wherearethetacos 3 · 0⤊ 0⤋
wherearethetacos isn't exactly right... here's how it goes:
x = 0.9999...
therefore:
10x = 9.9999...
10x - x = 9.9999... - 0.9999...
9x = 9
x = 1.
2006-06-10 01:13:02 · answer #7 · answered by Anonymous · 0⤊ 0⤋
it the same thing there is a way to mathematicaly prove that .999999... its equal to one
2006-06-10 00:30:42 · answer #8 · answered by Loli*Q 2 · 0⤊ 0⤋
x=0.9999...
10x=9.9999....
9x=9.0000
thus, x=1
2006-06-10 11:56:42 · answer #9 · answered by gari 3 · 0⤊ 0⤋
because any number over itself is one.
2006-06-10 00:27:33 · answer #10 · answered by spaabroadway 3 · 0⤊ 0⤋