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what is anything divided by 0

 Apr 8, 2016

Best Answer 

 #1
avatar+426 
+5

Let the number you say, anything, be x.

 

Now let's test the properties of division (by zero)

 

Property 1: (for x ≠ 0)

\(\frac{x}{0} = ∞\) 

Property 2: (for x ≠ 0)

\(\frac{0}{x} = 0\)  

Property 3: (for x ≠ 0)

\(\frac{x}{x} = 1\)    

 

However, when x = 0 in all properties,

\(\frac{0}{0}\)     could be infinity (property 1), 0 (property 2), or 1 (property 3).

But, this equation does not make sense, since you cannot share nothing to nobody.

 

Therefore, there is no solution to \(\frac{0}{0}\)     

 

Therefore, dividing by zero does NOT make sense at all.

 

cool

from MathWizard2004 A.K.A. MathW0122

 Apr 8, 2016
 #1
avatar+426 
+5
Best Answer

Let the number you say, anything, be x.

 

Now let's test the properties of division (by zero)

 

Property 1: (for x ≠ 0)

\(\frac{x}{0} = ∞\) 

Property 2: (for x ≠ 0)

\(\frac{0}{x} = 0\)  

Property 3: (for x ≠ 0)

\(\frac{x}{x} = 1\)    

 

However, when x = 0 in all properties,

\(\frac{0}{0}\)     could be infinity (property 1), 0 (property 2), or 1 (property 3).

But, this equation does not make sense, since you cannot share nothing to nobody.

 

Therefore, there is no solution to \(\frac{0}{0}\)     

 

Therefore, dividing by zero does NOT make sense at all.

 

cool

from MathWizard2004 A.K.A. MathW0122

MWizard2k04 Apr 8, 2016
 #2
avatar+118677 
+5

I'd like another mathematician to confirm what I have written here please.

MWizzard has asked me to comment on his answer.  (I hope I got your gender right MWizzard  blush     ) 

 

------------------------------------------

You have said that x/0 is  infintiy but what if is negative then that could not be right.

 

Basically you simply cannot divide by zero - it is always undefined.

 

What you can say is :

 

Find the limit of     6/x      where is is positive but as x tends to 0 then the answer would be +infinity

you would write it like this

 

\(\displaystyle\lim_{x\rightarrow +0} \;\frac{6}{x}\;=\infty\\~\\~\\ and\\~\\ \displaystyle\lim_{x\rightarrow -0} \;\frac{6}{x}\;=-\infty\\\)

 Apr 10, 2016

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