Friday, November 30, 2007

The power of Zero

Song: Higher
Artist: Creed

All right, this is something Ive thought long and hard about, and its quite complicated. It has to do with the most famous number of all: Zero. Thats right, the absence of a number is what I'm going to talk about tonight.

To the definition of Zero provided by, it states that Zero is the absence of a number. I totally agree with this, and like to take it a step forward.

With multiplication, we understand that we need to take multiples of those numbers and add them together. We know what happens when a number like Zero is introduced into Multiplication: the equation comes to Zero. This is tested with any number, from 1 to any number on the number line; either its positive or negative, it will always equal Zero.

Now this begs the question: What happens when we Divide by Zero? Well, from the definition provided, we can presume that anything divided by Zero will be that number. Basically, it will remain the same.

for Multiplication:
2x2= 4
2x0= 0

Now for Division:

Thats what most people would put down, because Zero is a non-number, the absence of a number right? Well...this is what I have been thinking about. If Multiplication and Division are opposite of each other, then what happens in one must be the opposite of the other. So if multiplying a number by Zero gives us Zero, then dividing by Zero should give us the number we are dividing by.

New Division:
4/0= 4

Because Zero by definition is the absence of a number, you are not taking the 4 and breaking it up into smaller parts, since there is nothing to divide it by. Also, since Zero is by definition not a number it cant possibly have a positive or a negative attached to it. That would mean there would be three extra numbers on the number line:

-0 0 +0

Being negative Zero and positive Zero, that does not work, since its not a number in the first place, as stated before.

If anyone sees anything wrong with this, or wishes to talk to me about it, leave me a comment, and I will be happy to talk to you about it. I don't intend to re-write the book on Zero (if there is such a thing XD) but any in put would be happily accepted.

No comments: