Why Does 0/0 ≠ 0 When o x o = 0?

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The discussion centers on the confusion surrounding the expression 0/0 and its relation to multiplication. Participants argue that since any number multiplied by 0 equals 0, it seems logical to suggest that 0/0 could equal any number, such as 3 or π. However, the consensus is that 0/0 is undefined in arithmetic because assigning it a value leads to contradictions and inconsistencies. The conversation highlights the importance of adhering to mathematical rules to avoid confusion. Ultimately, 0/0 remains an indeterminate form that cannot be resolved within standard 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, 0 \times 3 = 0 so shouldn't \frac{0}{0}=3?
I know, 0 \times \pi = 0 so \frac{0}{0}=\pi.

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