Ahh division by zero. Not many people understand it.
--------------Introduction and Multiplying By Zero--------------
The first thing to realize that is that 0 is not a number, as in, it is not a quantity of something either positive or negative, which means we could assign a letter to 0 and that letter will be Z for Zero.
Zero, to be precise, is a quantity of nothing. So to multiply by 0 and to divide by 0 is, in effect, resulting in a state of True and Not.
For example; If we take into account the reversible state of:
"1 / Z x Z = 1"
Which would mean that the resultant quantity of:
"1 / Z"
Must, when multiplied by Z, equal 1.
This creates a lot of confusion because there is no number which when Multiplied by 0 equals something.
Therefore classical logic states that what ever the answer it is NOT a number in the classical sense:
"1 x Z"
It is equal to;
"Not 1"
Which is the logical equivalent to 0 because Not 1 is not a normal number, If you can imagine a cake multiplied by the amount of cake bakeries open (of which there are none), the result is that you are NOT going to buy a cake at any bakery even though there may be an infinite number of cakes behind those closed doors.
So there is "Not 1" cake available to you at any bakery.
If the starting number was 2 it would be "Not 2" and so on.
This doesn't mean there isn't a Walmart or Tesco open where you could buy a Cake, as long as they aren't bakeries, this is why it is not EQUAL to but the Equivalent of 0 as:
1 x Z = Not 1
Which is the equivalent of 0 to a calculator.
And could be represented in Fraction form as 0/2 (Zero over 2 or Two Zeros).
But calculators will equal it to 0 because it is looking at just one situational number value, however, Not 1 is not a number and the only numerical value the calculator understands as not a quantity is 0 (Because it is not strictly a number).
--------------Division by Zero--------------
Once the Ground work is established in understanding that Multiplication by Zero results in a number that is Not X (Where X equals a number)
Then we must discuss the nature of Divisions by Zero.
As already highlighted.
1 x Z = Not 1
Therefore
Not 1 / Z = 1
Whilst
1 / Z = True 1
True 1 can be represented as a fraction, 1/0 (One over Zero or 1 regardless of Zero)
In numerical terms it would look bigger than any number of infinite strings and hold all charges conceivable, even (paradoxically) negating ones. This is a number so large that when multiplied by 0 it would equal it's original divided number in this case.
1 / Z = True 1
True 1 x Z = 1
The logical equivalent to 2 / 0 would be, imagine you have 2 Cakes and you have a party, the cakes are to be divided up amongst the guests and you are not allowed to have a single piece.
2 / X = ???
Nobody shows up to the party (how depressing)
2 / Z = True 2
Enjoy your 2 Cakes which you can now eat as the party is over.
The same goes for a scenario with hunger levels.
Imagine the same Cakes, and you have 100 Guests (Very popular aren't you) yet all of your guests aren't hungry.
2 / (100 x 0%) = 2 / Not 100 ≍ 2 / 0 = True 2
Enjoy your 2 Cakes which you can now eat as the party is over.
----------Conclusion-----------
So the thing that can be learned from this is that, when you are dividing by zero, all of your guests can have their cake and you get to eat it.
Comments
Personally, I think if you divide 2 by 0 (nothing) it remains undivided, and is therefore still 2.
by Darryl61 on January 28th, 2007
No, that's division by one....
by EL1 2 on January 28th, 2007
The understanding of math on answerbag is pathetic.
by EL1 2 on February 11th, 2007
your such a smartie pants lol i am jealous of people who can do maths hee hee, and i mean smartie pants in a good way
by gerrik on February 11th, 2007
@darryl61, like el12 said, that's dividing 2 into 1 part. what do you get when you divide something into zero parts? what does that mean?
by Anonymous on November 15th, 2010