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If 0 times 0 is 0. But we know like 5 divided 10 is equal to 5 times 1/10. So 0 times 0 is 0 times 0/1 is 0 divided 1/0, buy 1/0 is 1 divided by 0. so then 1 / 0 is bad. So why?

 Nov 7, 2016

Best Answer 

 #1
avatar+23251 
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Why is 1/0 undefined?

 

Division is the inverse of multiplication, therefore,

we know that  6/2 = 3  because 2 x 3  =  6

and that       18/3  =  6  because  3 x 6  =  18.

 

Now, if we try  1/0:

  1/0  =  ?  if we can find a number to replace the question mark that solves this:  0 x ?  =  1.

But there is no number we can use; no number multiplied by 0 will give us an answer of 1.

 

We get the same problem if we try  7/0  or  -2/0  or  147/0  etc.  [No number works.]

 

[Dividing 0 by 0 gives us a different problem; all numbers work.

 We could argue that  0/0  =  1  because  0 x 1  =  0;

 but then, by the same argument:  0/0  =  0  because    0 x 0  =  0

                                                   and  0/0  =  27  because 0 x 27  =  0

                                                   and  0/0  =  -2  because  0 x -2  =  0.

So  0/0  is undefined because it has no single answer; every number works.]

 Nov 7, 2016
 #1
avatar+23251 
+5
Best Answer

Why is 1/0 undefined?

 

Division is the inverse of multiplication, therefore,

we know that  6/2 = 3  because 2 x 3  =  6

and that       18/3  =  6  because  3 x 6  =  18.

 

Now, if we try  1/0:

  1/0  =  ?  if we can find a number to replace the question mark that solves this:  0 x ?  =  1.

But there is no number we can use; no number multiplied by 0 will give us an answer of 1.

 

We get the same problem if we try  7/0  or  -2/0  or  147/0  etc.  [No number works.]

 

[Dividing 0 by 0 gives us a different problem; all numbers work.

 We could argue that  0/0  =  1  because  0 x 1  =  0;

 but then, by the same argument:  0/0  =  0  because    0 x 0  =  0

                                                   and  0/0  =  27  because 0 x 27  =  0

                                                   and  0/0  =  -2  because  0 x -2  =  0.

So  0/0  is undefined because it has no single answer; every number works.]

geno3141 Nov 7, 2016
 #2
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I'm not sure if I entirely understand your question, but what it comes down to is that division is spliting a certian number of something into a certain amount of groups, and saying how much of that object is left in each group. Because you can not put objects in 0 or no groups, then you can also not divide by 0.

 Nov 7, 2016

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