Maths with Zero
The concept of Multiplication or Division in Zero is equal to Zero, is not always correct in some condition.
Can you think of few of these conditions ?
Can you think of few of these conditions ?
Labels: mathschallenge
posted by Rajesh Lal at
9:14 AM
11 Comments:
well you can nvere divide by zero so that is a condition. Am i on the right track?
I am not sure what you are asking, but it sound like you might be talking about a number to the zero power. Like 100^0 =1 or 55^0 =1.
Often people assume some number to the zero power would be zero, but it's one, whatever the number.
hjg
Some say you can not divide by zero. This maybe true with a calculation device because it causes an error. But I say this does not mean that a number divded by zero is infinity, and just because a machine can not do it, it shows the machines limitations.
Any number divided by zero is infinity.
Knowing that...here's a question, which is the larger number 100/0 or 200/0 ?
hjg
hjg, any no. divided by zero is not infinity, it is undefined only the symbol of infinity is used(dunno y)
also it does not show limitations of the machine bcuz a machine(a calculator here) can only give results to what is already programmed into it. It cannot be calculated by anyone or anything (not yet anyway) so u cant say it as limitations of the machine.
third i cant understand the question, if u want an equation which includes zero without zero as he answer (multiplication and division only), the only 2 solutions as mentioned above are:
1)any number/0=undefined
2)any number^0=1
Thats all i can think of anyway.
To Abdeali Kothari,
It is widely "reported" that division by zero not possible. But that is only for real numbers. In theory dividing by zero is infinity, and as I demonstrated in 100/0 and 200/0 all infinities are not equal. 200/0 is twice as large as 100/0. Of course you can argue that infinity does not exist as well as a number divided by zero does not exist. But at least in theory, you would be wrong.
hjg
100/0 is not infinity, it is just not possible. Looking at a graph of y=100/x should convince any doubters.
iii) Also 0*x=0 for all x (real or not).
iv) x+0 =x for all x
v) 0^x=0 for x>0
vi) 0/6x is undefined for x<0
and 0^0 is a source of much debate and quite an interesting mathematical topic.
A number divided by 0 is undefined because it could be either positive or negative infinity. If a number (other than 0) is divided by 0, is it multiplied by -1 because 0 is not positiv, or not beca 0 is not negative? Because 0 is neither positive nor negative (or both), division by 0 of a non-0number can equal either positive or negative infinity, and is thus undefined.
Anything multiplied by zero is zero. As for division in zero, the only number that you can divide zero by to get an answer other than zero is zero. In that case, there is no answer, it is undefined.
Just to clear something up - a non-zero number divided by zero is undefined, not infinity. Infinity is not a number, it is a concept. Secondly, if you abuse notation and treat infinity as a number, you will immediately see you are wrong.
i.e. If 100/0 = infinity, then 100 = infinity x 0. Similarly 200 = infinity x 0, so 100 = 200. Contradiction, so 100/0 is not equal to infinity.
Note the above calculations do not even make sense as writing "100/0" is wrong as is "= infinity".
- Alba
x^0=1
if u divide a number by zero it cab also be called undefined
infinity represents numbers that aren't created yet
Post a Comment
Links to this post:
Create a Link
<< Home