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(a + b)/c = a/c + b/c for c ≠ 0. Otherwise it has no meaning. Therefore (2 + 1)/0 = 2/0 + 1/0 is not even false, it just means nothing. BTW, you didn't mentio
by lisael 8y ago
(a + b)/c = a/c + b/c for c ≠ 0. Otherwise it has no meaning.
Therefore (2 + 1)/0 = 2/0 + 1/0 is not even false, it just means nothing.
BTW, you didn't mention Infinity explicitly, but it would lead to the same inconsistency, if you think about it:
(2 - 1)/0 = 2/0 - 1/0
:)
- j2kun 8y agoIf you define a/0 to be a value, then you can ask whether (2 + 1)/0 = 2/0 + 1/0. This is not meaningless since both sides are defined. If you define a/0 = 2, then the equation is false. Using "infinity" (which is not how it's actually done in math) requires you to rule out the possibility of operations like infinity - infinity.