O has a value in the sense that it can be used to express quantity.
If someone asks "How many apples are in this basket?", and there are no apples, the answer is of course 0 apples. I'm sure you already knew that part.
The reason division by 0 ( x / 0 ) is "undefined" is because it is a contradiction to divide something by 0 units. If you divide something by 2 ( x / 2 ) you are separating x into 2 equal pieces. If I tell you to divide x into 0 pieces, it doesn't make sense. You cannot separate anything into 0 pieces.
Saying that 0 means "nothing" is just as accurate as saying 0 means "none".
2006-09-18 19:50:07
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answer #1
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answered by Anonymous
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The value of 0 is 0. Just like the value of 3 is 3.
0 doesn't mean nothing. It can be a significant number.
Eg 1. 0.846804 when in 5 sig fig is 0.84680, thus 0 isimportant.
Eg2. Consider the following numbers: 1.5373, 0.84393, 1.2752
and the question is to round off the numbers to 3 sig.fig.
The answer would be: 1.54, 0.84 and 1.28. As the first number of the question is different, hence the '0' in the 2nd number is important as it makes a difference. Therefore, '0' is a significant number in this case.
Something upon 0 has no meaning, hence undefined.
Eg. There's no solution to squaure root -1. Thus square root -1 is undefined as there's no meaning to it. This logic applies to why something upon 0 is undefined.
2006-09-18 20:06:10
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answer #2
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answered by nick p 1
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0 is not nothing, but a number: it can be used in algebra like any other number. It is completely defined by the following rule: for every number x, the following statements are true:
x + 0 = x
0 + x = x
This defines how to add anything involving zero. Because subtraction is defined from addition, it follows immediately that
x - 0 = x
0 - x = -x
x - x = 0
(provided we allow negative numbers). Because multiplication has the distributive property, a*(x + y) = a*x + a*y, we find
x*0 = x*(1 - 1) = x*1 - x*1 = x - x = 0
and similarly, 0*x = 0. This defines multiplication with x.
The quotient x/0 is defined as the number q with the property that q*0 = x. There are two possibilities.
If x = 0, then every number y has the property that q*0 = 0, so there are too many candidates for 0/0.
If x <> 0 then the solution q*0 = x has no solutions, and x/0 cannot exist.
In both cases, division by zero does not exist.
2006-09-18 19:36:01
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answer #3
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answered by dutch_prof 4
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0 has value. that value is 0
division by 0 is undefined because division is really just multplication in reverse. asking what something divided by 0 is, is the same as asking what number times 0 gives the original number. for any number other than 0, there is no number you can multiply by 0 to reach the number. for 0 divided by zero. any number you pick to multiply by 0 gives you 0.
2006-09-18 19:39:09
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answer #4
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answered by Demiurge42 7
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0 is the integer that precedes the positive 1, and follows −1. In most (if not all) numerical systems, 0 was identified before the idea of 'negative integers' was accepted.
Zero is an integer which quantifies a count or an amount of null size; that is, if the number of your brothers is zero, that means the same thing as having no brothers, and if something has a weight of zero, it has no weight. If the difference between the number of pieces in two piles is zero, it means the two piles have an equal number of pieces. Before counting starts, the result can be assumed to be zero; that is the number of items counted before you count the first item and counting the first item brings the result to one. And if there are no items to be counted, zero remains the final result.
2006-09-18 22:17:56
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answer #5
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answered by king2006 2
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Zero, 0, is a border between negative and positive number. Zero has some important properties can be used to define it:
- Addition of any two opposite numbers is equal zero
- Addition of any number with zero is equal this number
- Multiple of zero with any number is always zero
Zero, as any number, has value: its value is zero. Without this value, we can not do anything.
Something upon zero is undefined because it is not meaningful. Not only zero has this property.
Sometimes zero means nothing but sometimes zero is as any number.
2006-09-18 21:26:14
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answer #6
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answered by Anonymous
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0 means nothing.
It has no value.
anything divided by 0 is undefined because if a/0 = b then it would imply 0*b = a and that just ain't kewl.
Yes, 0 means the absence of magnitude of anything.
Doug
2006-09-18 19:35:01
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answer #7
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answered by doug_donaghue 7
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0 means null. scientists invented it to represent NOTHING.
they couldnt find out the value of anything divided by 0 &
moreover they couldnt explain this that why they are not able to. In such cases mathematicians usually define undeterminate or undefined.
(its a tendency of humans ,when they are not able to give an explanation they use undefined and such type of words)
2006-09-18 19:46:52
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answer #8
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answered by Anonymous
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Probably a difficult concept coming to think of it. Zero denotes-nothing is existing. It an integer. It is probably the only integer which is neither positive nor negative. If the product of two real numbers is zero then one of them has to be zero. Division by zero is undefined in mathematics and leads to an indeterminate usually denoted by infinity. Zero implies the beginning as in 'Ground zero'. Zero emission denotes no emission and so on
2006-09-18 20:14:47
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answer #9
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answered by openpsychy 6
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yah 0 has no valu when it is on the left side of any other number and the number gets a value added if 0 is on its right side
2006-09-18 20:05:43
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answer #10
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answered by kanalini n 1
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