How could 3 thirds equal one if one third is 3.333 to infinity how does infinity become 1.?

Question

I believe that the problem lies in the fact that there could never be an absolute zero; therefore zero in it's designated place in the number line could never be the sum of any thing. That I believe is the nature of the problem. Zero is actually none of something not nothing. So zero plus zero would actually equal two none of somethings.
It is my belief that this could be fixed by replaceing zero with an overlapping double infinity representing an event horizen in the center of the number line. Subsequently adding a positive and a negative zero on either side.

I believe an overhaul of the mathematic language is due.
The world is not flat, the Earth is not the center of the universe, gravity is a force, naked singulaities do exist.(ask now shirtless Steven Hawkings) Infinity has to come from somewhere. Picture the number line as a NUMBER CIRCLE.

Answer 1

A couple of problems here. This is why mathematicions hate "infinity". Infinity is an artificial construct used to represent any number of mathematical contrivances, anomalies, and singularites. The most simplest and common construct that is usually used resulting in "infinity" is 1/x as x tends toward 0. This is called a "limit" in calculus. Another useful application is the "limit" of a ratio of functions as x -> "infinity" (that is as x gets progressively larger) - for example (42x-1)/(x) tends toward 42 as x -> "infinity". (42x-1)/x = (42x/x) - (1/x) = 42 - (1/x) In such a way, "infinity" divided by "infinity" can be constructed to be any number - including "infinity" (this would be said to be without limit in mathematical parlance).
As to zero, x + (-x) = 0. Something plus its exact opposite = 0. For example nullifying forces. Two exactly opposite forces acting on an object results in zero displacement. For example when the force of aerodynamic lift exactly equals the force of gravity, an airplane will neither climb nor descend - zero vertical displacement. Similarly for the force of boyancy and weight. This is how we know that the table exerts a force on the book exactly equal and opposite to the weight of the book - zero displacement.

And finally...
0.3333... is only a numerical representation of 1/3. 3*(1/3) does, in fact = 1. Other similar numerical representations are pi "=" 3.14..." (pi is _defined_ as the ratio of the circumference of a circle to it's diameter, not 3.14...), for x^2 = 2 (x squared = 2), x "=" 1.414..., and e "=" 2.718..." used in the natural logarithm, ln(x) or log "base e" of x.

Answer 2

Think of it this way. If one ninth equals 0.111... then nine ninths equals 0.999... What quantity can be subtracted from 1 to yield 0.999...? The answer is that 0.999... equals 1. Nine ninths equals 1 no matter how you cut it.

Also, consider a number line. Imagine a number line from 0 to 1, and a parallel number line from 0 to 2. For every point on the first number line, you can generate a corresponding point on the second number line (by multiplying by 2). Also, for every point on the second number line, you can generate a point on the first number line (by dividing by 2). This means that both lines must have the same number of points (1 to 1 correlation both ways). An infinity problem? Figure it out and save the world!

Answer 3

Infinity is both an emblem which denotes a reduce doesn't exist, or a sequence cardinality. In both case, in case you "divide" by 3, you nevertheless get both an same divergence, or an same set cardinality. there isn't any maximum infinity. you are able to continually get a more effective one by taking the flexibility set. that is why there's a large problem once you declare God is infinite, because there can't be a maximum infinity.

Answer 4

One third is not 3.333 - that is three and one third. One third is normally written 0.333 - but this is where the error comes from, 0.333 is only an approximation of 1 third. No matter how many 3's you write, the answer still is never quite 1 third. 0.33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 is still not quite one third, and 3 * this number still only gives you 0.99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999.

One third, on the other hand, when multiplied by three, gives exactly 1, since three thirds is 1 whole. One third written 1/3 is exactly 1 third, written 0.3333333 is only approximately 1 third.

Answer 5

Does it make you feel better that in base 3 1/3 can be represented as .1???

Do not get hung up on decimal represenations, whether you
are in base 3 and say .1 or base 10 and say .33333....
repeating you are representing the same amount.

That is if you have a (n) pieces of (1/n) you have a whole.

Answer 6

It's rocket science. We use the complicated principle of rounding to create a 1 out of 0.9999999 and so on. we use fractions to express numbers that aren't whole, and constantly having to use decimals gets very, very frustrating. Just clearing it up, but yes, you are right.

Answer 7

Good point