- set of number don't have additive identify.
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a set of natural numbers does not satisfy the additive identity property.
0 is called the Identity element
for example ,12 + 0 =12
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Your question implies that a number can have an additive identity.
A set of numbers can have an additive identity. For example, the set of integers as 0 as its additive identity. That’s an attribute of the set, not of any individual number.
Unless I’m missing something, your question doesn’t make sense and cannot be meaningfully answered.
It’s possible, of course, to construct a set of numbers that doesn’t have an additive identity. That would be any set that excludes 0. But that’s not what you asked.
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