Prove that zero is a unique number

Question

anonymous · Answer

everything makes zero unique! multiply anything by it you get 0, the only factors is has is itself times another number, zero dividing a number is not possible, 0 being divided is always zero.

zpupster · Answer

This is rather easy to prove, for it there were two zeros, say O1 and O2, then

 O1 = O1 + O2 = O2 + O1 = O2

 Proving that O1 = O2.

 The following field properties are used in establishing the result above.

 (additive identity property)
 (commutative property for addition)

aravindg · Answer

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