0 divided by 0 :( i cant do it

Guest May 18, 2017

2+0 Answers


It's undifined.

Guest May 18, 2017
avatar +216 

The short answer is that 0/0 = undefined, meaning that no value can be associated to it. In fact, dividing anything by zero is undefined.


Let's take something that no one has a problem with dividing, 8/4. Anytime one divides, you can represent it into the following equation:




Let's do this for 8/4.


4x=8  Divide by 4 on both sides



Now, let's see what happens when we try this same method with 0/0.



Oh no! All numbers for satisfy this equation. For simplicity, let's say that x=1 and x=2. 


0*1=0, so 1=0/0

0*2=0, so 2=0/0



Clearly, this is a contradictory result, and assigning 0/0 a value would destroy any and all current algebra rules. This is also why there are "proofs" that 1=2. Here's an example:


1. a=b                                 Multiply both sides by a

2. a^2=ab                           Subtract b^2 from both sides

3. a^2-b^2=ab-b^2             Group both terms using the GCF

4. (a+b)(a-b)=b(a-b)           Divide by (a-b) on both sides

5. a+b=b                             Because a=b, b can always be replaced for a

6. b+b=b                             Combine like terms

7. 2b=b                               Divide b from both sides

8. 2=1.


Where is the problem in this proof? The problem is in step 4 when dividing by (a-b) occurs. 


a=b                                    Subtract b from both sides



If a=b, then a-b=0. This means that when this person divided by (a-b), he was dividing by 0, which algebra does not allow and creates the contradictory result. Still don't understand? Let's substitute in a value for a and b to see what is happening behind the scenes:





(1+1)(1-1)=1(1-1)   <-- Dividing by (1-1), or 0 cannot be done in algebra





Technically, step 7 is flawed, too, when he divided by b. Here's why.


2b=b                                  Subtract b from both sides

2b-b=0                               Combine like terms.



Oh no! If 2b=b, then b=0. This means that dividing by b is dividing by 0. Hopefully, you understand why you cannot do 0/0 now.                                

TheXSquaredFactor May 18, 2017

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