does zero equal zero?

Question

my math teacher once told me she did a report on the number zero and if it does equal zero. i think shes out of her mind. does zero equal zero? give proof. or prove it incorrect.

Answer 1

Zero is not a number, its a concept

zero is the smallest number than the smallest number you can ever think and infinity is the largest number than the largest number than you can ever think.

Zero has negative zero and positive zero. Negative zero does not equal to positive zero. Positive zero is the smallest number when coming from the positive axis, and negative zero is the smallest number when coming from the negative axis.

anynumber/negative zero = negative infinity
anynumber/positive zero = positive infinity

Answer 2

I think your teacher is trying to kick-start your brain.

I have a question for you to ponder:

What if we had somehow skipped over addition and invented multiplication first? We could multiply positive integers, negative integers, and even go on to division and fractions, and never miss zero. (Though they do have a place holder that looks like an "0" which is an empty hole. But we don't care about that.)

Think about it! The only time We need zero as an answer is if we started with it in the numerator in the first place, and we never let it cause mischief in the denominator, so think about how simple our lives would be with out it.

We meet a strange tribe and we teach them our multiplication system, and tell them about the number 1. 1*1=1, 1*2=2 etc.

They ask us about the number 1. We say,"Oh, No! Look , 1 is not a real number, it doesn't do anything by itself, so it is nothing. We just invented it because it is handy for filling up numerators, and to tell us the difference between 2*9=18 and 2*4=8, so we keep it around for convenience.

They insist that 1 is indeed a number.

Who is right?
is 1 nothing or does one equal a number?

Answer 3

Zero is not as hard as trying to find the Infinity. There are people who have tried to work with infinit and have ended up psychologically sick. In question of zero, it depend what you define zero. Zero could mean that the thing you are looking for is missing ; your wallet has not money into it. Zero could mean that the net of two things is zero; tug of war game where both sides pull at the same force. Zero could also be used to try and explain emptiness of universe which this subject is very hard and not empirical but only hypothetical.

Answer 4

My math teacher once told me you can't do a proof by multiplying by zero on each side. For example, say you have 1 = 1,000,000. Multiply both sides by zero... to get 0 = 0. Even though the first statement is false, the second is true. I think this is what your math teacher meant by 0 does not equal 0.

Answer 5

Zero = Zero, because both sides of the equation are equal. That is the nature of equations. The same holds true as X=X , Y=Y , or 1=1

Answer 6

Well, there are a few issues here. Of course, in normal parlance, when you say someone has zero intelligence, and then compare that person to another with zero intelligence, they are equivalent. Hence zero equals zero qualitatively. But what about a more subtle problem, for instance does the following:

1 - 0.999... = 0

become provable? Or is it semantic? Can a series really converge to nothing? What happens when you get infinitely close to zero? Is it really the black hole of numerology? Can something really be infinitely close to nothing? I'm melting! I'm melting! Mhuahahahhhhhaaaaa........

Answer 7

This is a tricky one, I will try to explain:

There is a difference between the number zero and nothing. For example, if I asked you the temperature and you said "zero" that would mean one thing, but if you said "the temperature is nothing" that is completely different.

Zero as a counting number means that there are exactly none of what you are counting. But if the amount you are counting is missing (not the items themselves are missing) then that is mathematically saying that you do not have the information of how many that there are.

Answer 8

Yes, 0=0
If first 0 have same value like second.
Even 0 bananas is equal 0 apples!

There is no fruit!

But it's possible to mathematical prove that zero is not equal zero, but in nature - zero is always equal zero!
Believe me!

Answer 9

Yes. But sometimes a very very small number is already considered zero, but when you say zero its nothing or null or empty but a very infinitissimal number has still a value but it is near to zero but still has a value and would not be equal to zero completely.

Answer 10

Zero equals nothing, unless You are working with computers. Maybe this is old news but I used to always hear computer programs were all a combination of ones and zeros.

Answer 11

proof #1
0 = nothing
0 x (anything) = no (anything)s
therefore
0x0= no nothings
if I have no nothing, then I must have something!
therefore
0x0 does not equal 0
... but mathematics says otherwise
[to tell you the truth, I gave up on zeor when I asked my teacher this question only to recieve a few proper mumbles and a blank stare]

Proof #2
0 looks a lot like o which is something you say when something really bad is about to happen. Therefore, by the pytharorean congruence theorem (who knows... I just made that up...), 0 actually = (e^3.14-78)/3