Hi:
The reason you can't divide by zero is this
what is division?
it one of two answers
repeated subtraction or multiplication in reverse
Okay! here how to think it :
divide 9/ 3 = 3 because 3 *3 = 9
or 9-3 =6 than subtract 6 again by three ( 6-3= 3) than subtract 3 by three again ( 3-3=0) by counting the number of subtractions which is 3 we find that 3*3= 9 or 3+3+3 = 9 So that 9/3 is proven to equal 3. Do the math youself
Okay now to try to divided by 0? Do the division for yourself
10/0 =?
10-0= 10 try again 10 -0 =10 you never can bring 10 (in this case) down to value other than 10 no matter how time you subtracting it by zero . So the number of subtraction will become infinite
and the number of solution is infinte when multiplying by zero because any number time zero equal zero so that dividing by zero has a infinite number of soultion thus dividing by zero is a undefine operation. There was one expection to this when you divide 0 by 0 it equals 1. However this rule as change so it is now a undefined operation
The reason your calulator says Error when dividing by zero is because they program it to do that; any time it find something being divided by zero otherwise it would try to do what I explain
above and it would go to never-neverland in trying to solve it.
Do the math yourself
2006-10-23 01:29:38
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answer #1
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answered by Anonymous
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Division by zero is undefined because zero has no inverse. Other numbers, 2 for example have inverses, that is, some other number which when multiplied will give 1. One half works for 2 as 2 * .5 = 1.
There is no inverse for zero as zero times anything is zero, so there will not be any number zero^-1 which gives zero * zero^-1 = 1.
Division a/b is just a short hand for a * b^-1 (a times the invers of b).
Since zero has no inverse, division by zero is undefined, even when the numerator is zero.
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proof that 0*x = 0, all x
0*x = (0+0)*x (0 = 0+0)
0*x = 0*x + 0*x (the distributive law)
so
0 = 0*x (by cancellation)
2006-10-22 23:38:45
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answer #2
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answered by Anonymous
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0/0 is beyond undefined: it is an indeterminate form.
When you check division, you multiply the quotient by the divisor to (hopefully) get the dividend.
Any number multiplied by zero equals zero, so that would, theoretically, ALWAYS make the 0/0 true and valid. However, that is infinately many numbers, so the number is undefined. If you said that 0/0 equals, say, fifteen, then you have just made all other numbers disapear... which is needless to say, bad.
Any other real number divided by zero is undefined because there is no number by which you could multipy zero to get a non-zero number. If you set anything over zero equal to zero, then you are saying that 0/0=1, which we just disproved.
2006-10-23 00:18:41
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answer #3
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answered by mediaptera 4
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Yes, close enough. 0/0 can be any number at all, so mathamaticians have agreed that dividing by zero doesn't make sense. I mean, 0/0 = 2 makes as much sense as 0/0 = 10.
2006-10-22 23:20:08
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answer #4
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answered by morningfoxnorth 6
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ERROR means that the calculator doens't know the answer. 0/0 is an undefined operation.
^_^
2006-10-23 06:03:45
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answer #5
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answered by kevin! 5
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0/0 = infinity/infinity
it's an indeterminant form not undefined
there's no way to get a solution.
your calculator is correct
2006-10-22 23:26:03
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answer #6
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answered by teh_popezorz 3
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you can't divide by 0 so yes error is the correct answer to it â¥
2006-10-22 23:24:45
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answer #7
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answered by ♥ The One You Love To Hate♥ 7
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This is one of the Ten Commandments of mathematics.
Never Divide by Zero!
The result is undefined. I imagine that the calculator says "error" as this is shorter than printing the word "undefined" on your screen.
2006-10-22 23:23:11
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answer #8
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answered by whatthe 3
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Division by 0 is an illegal operation.
2006-10-22 23:17:06
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answer #9
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answered by RichardPaulHall 4
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Yes.
I don't remember why, but you cannot have a denominator (bottom number of the fraction) as 0.
That would be akin to putting a numerical cap on infinity.
2006-10-22 23:18:14
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answer #10
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answered by Anonymous
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