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Is zero an imaginary number?

But in the number 10, the 0 does not actually represent a 0 - you could just as easily go into other bases and do your calculations there, without the need of any immediate "zero" for placevalue, per say.

Also, instead or representing it as 100, you can break it down into factors, like "2*2*5*5" where you are using other "imaginary, conceptual" properties of numbers to gain something very real.

Meh.

However, to create an easier method for creating and maintaining a number line, you must have the 0... Imaginary or not.

Example:

/HUNDREDS/TENS/ONES/
/1/2/0/

To say that the number is one hundred and twenty, you would be correct. However, to remove the 0 you would have:


/HUNDREDS/TENS/ONES/
/1/2//

Which, when seen on paper without all of the layouts would be:

12

Easily confused for the number: 12, but is actually equal in value to 120. The problem with not having 0 is that numbers would be very limited. You must be able to apply value to place easily, and efficiently, without confusion.

0, though a valueless number, is actually quite great in importance. IMAGINARY OR NOT, the integer is used to create a value, or lack thereof.

It is basically the wild card of numbers.
 
Okay, in base 10, we are in fact required to use 0's to hold our place and to represent 120. But what about, let's say, in base 7?

|7^2||7^1||1|
| 2 || 4 ||1|


So, where is the 0 here? Not present, so...just something to think about - it's not 100% essential for numeric calculations. What is essential to recognize, however, is that x^0 is 1, as this ultimately has a huge impact on place value.
 
25packbeer said:
actualy on a keyboard you can =)

That is not zero itself, that is a plastic key with ink drawn in an elliptical fashion upon it.

Tyler Durden said:
Shredder's point of view is the same of that as a person who has had a stroke.

Thanks.

Zero, and all numbers, are an abstraction. They are a useful reference point when we talk about reality. Five does not exist, but five rocks do. 200 does not exist, but 200 men do.

Please read Plato's theory of Forms.
 
I'm not sure what your side of the argument is. Mine is that a number does not exist in itself, but only in that the concept can be applied to reality. What's yours?
 
Well, as the purpose of this thread *was* originally for MATHEMATICS, not in the field of nature, my argument is that 0 is a real, not-imaginary, number.

As for zero existing in nature, I definitely see your point that nature APPROACHES zero, but can never reach it. And that it's a concept applied to reality.
 
No its not since it has an important part in numbers and sometimes helps people learn numbers easier

That has nothing to do with anything we're talking about. Youfail.org. We've already established (thanks to Shredder) that all numbers are conceptual - the square root of (-1) also has a huge part in number theory, is it imaginary? Yes.
 
Strictly speaking imaginary numbers are numbers which contain the square root of one in the form x + y*sqrt(-1), and, when squared, give a negative number.

Zero is still zero in any base. 0 base 4 is equal to 0 base 10, or any other base. As you point out it is the origin of the number line or dimension.

Zero is used as a value when the number contains more than one digit. For example '100' in base 8 is 64.

It would be difficult to argue zero has no value, being as zero is a value. But this is more simply demonstrated by the fact that any origin can be described in terms of any other origin. Zero is just the point you've opted to work around, it doesn't lose its absolute value just because you ignore that value in your calculations. It has no relative value in your calculations, because it is the very frame from which relative value is judged.

Maybe someone studying number theory can add something more to this discussion?

Um can you be less smart and maybe speak at my level: Stupid?
And I think zero IS imaginary referring to what Shredder said...

You're right, though, in that zero itself isn't a number - it's the lack of one.
 
-1 * -1 = 1 :)

That is not zero itself, that is a plastic key with ink drawn in an elliptical fashion upon it.



Thanks.

Zero, and all numbers, are an abstraction. They are a useful reference point when we talk about reality. Five does not exist, but five rocks do. 200 does not exist, but 200 men do.

Please read Plato's theory of Forms.

Well put.
 
zero is the start of positive and the ending of negative in number form so it does exist you think of it this way in temperature. the coldest point anyone has got down to in celcius is -273.15 and is called asolute zero. but measure absolute zero in calivin making it 0 degrees k proves your theory wronge
 
zero is the start of positive and the ending of negative in number form so it does exist you think of it this way in temperature. the coldest point anyone has got down to in celcius is -273.15 and is called asolute zero. but measure absolute zero in calivin making it 0 degrees k proves your theory wronge

Fahrenheit, Celcius, and Kelvin are not numbers. They are methods of measuring temperature; we could just as easily have the state of it being 100 degrees Fahrenheit be called "it's chickenshit degrees" rather than 100. Numbers are being used here as a method of visualizing concepts, in this case the concept being the amount of heat.
 
without 0's 4 million is only 4
 
Based on what you guys are saying in the first page, Is everything written or spoken imaginary? I mean if you write an M down on a paper, it is only the graphical representation of the letter m, and not the real thing?

I think im going to ask my algebra II teacher about this...
 
I would agree that Zero is an imaginary number, and instead of a number, simply a point of refernece.
 
It is real, It does add a value too. Say you have the number 1 and you add a 0 it becomes 10. If you add another 0 then its 100. Get it?

First of all, you're retarded. If you have the number 1 and you add a 0 to it, you end up with 1+0 = 1. If you add 9 to it, on the other hand, you end up with 10. If you multiply it by 10, you end up with 10. If you multiply it by 100, you get 100. I'm sure you won't understand this, but what about i? It changes the "value" of numbers, for example:

(2)^2 = 1
(2i)^2 = -4

Anyways, this argument has been made a gajillion times. Place value has nothing to do with the number being imaginary or not. Have you ever heard of other bases?
 
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