<p>
I could, but would anyone believe that 0.0999 is equal to 1?</p>
<p>“I could, but would anyone believe that 0.0999 is equal to 1?”</p>
<p>80-9=71, therefore, 71+9=80. Proven.</p>
<p>
Apparently, that’s Wharton math.</p>
<p>
You’ve got it all wrong.</p>
<p>.0999… = 1
<em>10^2
9.999… = 1</em>10^2
/10
.999… = 1*1^2
.999… = 1
previously solved
1=1
QED</p>
<p>Oh… we talk about infinites as if we could conceive them in our minds, whether it’s an infinite number or two numbers of infinitely minute difference… a worthless venture in any case.</p>
<p>Simply put, 0.999999 is not 1, because evidently they are not the same number.</p>
<p>The original question, though asked if it equaled one.</p>
<p>.999-infinity= negative infinity
1-infinity= negative infinity</p>
<p>therefore, .999=1</p>
<p>lol</p>
<p>
</p>
<p>How does my post not adress the question of 'does 0.999999=1?"</p>
<p>^It’s two numbers that equal one (and .999…).</p>
<p>
</p>
<p>No. I realize most people are omitting the ellipses just for the sake of not having to type it out every time, but it is essential that we realize the massive difference between 0.999 and 0.999… The latter has an infinite number of 9s following the decimal point. The former may empirically be equivalent to 1 once rounded to two significant figures, but the latter is ALWAYS EQUAL TO 1. No rounding, no anything.</p>
<p>
Shame, isn’t it? People should think outside the box; our society is too square :)</p>
<p>
Think about that, and see why it doesn’t make sense. Variables can be great than or equal to a constant, but a constant has only one value. It cannot be greater than or equal to another constant. It must either be greater than, or equal to that constant but not both. In this case it 1 = 0.999…
Exactly.</p>
<p>
No. He said it kind of funky, but it goes like this:
0.666… * 1.5 = 2/3 * 3/2 = 1. (0.666…=2/3, agreed?)
Now you go back and multiply each digit of 0.666 by 1.5 and what do you get?
0.666… * 1.5 = 0.999…</p>
<p>I suggest you guys to join [Portal</a> @ MathLinks](<a href=“http://www.mathlinks.ro%5DPortal”>http://www.mathlinks.ro) if you reeeaaalllyyyy love math that much lol</p>
<p>.999… = (9/10)+ (9/100) + (9/1000) + …</p>
<p>Use geometric series:
Sum of (9 (1/10)^n) where n starts at 0 and goes to infinity (this actually describes 9.999…, but we can just subtract the 9 later)</p>
<p>Sum of the series is a/(1-r) = 9/(1-(1/10))
= 10</p>
<p>Then subtract the 9
.999… = 1</p>
<hr>
<p>[Edit] Actually, 0.999… does not equal to one. The number itself doesn’t, but the limit does. The geometric series only shows that the number approaches 1, and equal to 1 at infinity. The definition of limits.</p>
<p>lol math links people are intimidating
“crap, i got a 9 on my aime, my life is ruined, oh why oh why did i have to go and make 6 stupid mistakes”</p>
<p>Well, whether you guys want to believe it or not, the transetive property is a mathematical fact and BY USING THE TRANSETIVE PROPERTY, 0.99999… =1… haha I reminded myself of Jack Nicholson in “The Departed”… “the way we do things here… IN THIS COUNTRY!” lol nvm, unless you get it.</p>
<p>Let 0.999…=0.999…
Thus 0.999… does not equal 1, 0.999… can equal 1 if we so desire.</p>
<p>
</p>
<p>This actually doesn’t make much sense. How can a number approach something? It’s a constant. It is either equal to or not equal to 1. But it cannot “approach 1.” If you’re saying that the limit of the infinite geometric series approaches 1 as n approaches infinity, then yes. But you said yourself that the limit equals 0.999…, so the number does equal 1.</p>
<p>Whoever said that 1 is not ≥ .999 is wrong. 1 is in fact ≥ 1 and all numbers < 1.</p>
<p>
</p>
<p>It has been proven, to anyone who cares to give it a moment’s thought, that 1=0.999…</p>
<p>The statement 1 ≥ .999 is true, because the equality condition is met. But, consider that 1 ≥ 1 is also true.</p>
<p>If you won’t listen to reason, go annoy a math teacher about it.</p>
<p>Yeah, you’re right, 1≥0.999… is true. My mistake. But it does seem to imply that 1 is greater than 0.999…, I guess this is because people don’t normally write 1≥1 if it is known they are equal.</p>
<p>1=0.999… repeating infinitely, because as the number of 9s approaches infinity it gets closer to 1 so when there are an infinite number of 9s, it is equal to 1.</p>