Why Does 0/0 ≠ 0 When o x o = 0?

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SUMMARY

The discussion centers on the mathematical expression 0/0 and why it does not equal 0, despite the fact that any number multiplied by 0 results in 0. Participants highlight that while expressions like 0 × 3 = 0 or 0 × π = 0 suggest that 0/0 could equal any number, this leads to contradictions. The consensus is that 0/0 is an indeterminate form, which does not conform to the established rules of arithmetic.

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if o multiplied by o=0
then why 0/0 is not equal to 0
 
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lakshmi said:
if o multiplied by o=0
then why 0/0 is not equal to 0

Well, [tex]0 \times 3 = 0[/tex] so shouldn't [tex]\frac{0}{0}=3[/tex]?
I know, [tex]0 \times \pi = 0[/tex] so [tex]\frac{0}{0}=\pi[/tex].

The problem is that [tex]\frac{0}{0}[/tex] doesn't work with the existing rules for arithmetic. Picking some value only leads to problems.
 
:smile: :smile: :smile:
excellent humour NateTG :wink:
 

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