Question

The set of numbers which do not have additive identity ?​

Answer 1

Answer:

0 is the answer

Step-by-step explanation:

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Answer 2

The set of 'natural numbers' does not have an additive identity.

• In mathematics, the 'additive identity' of a set is a particular element of the set and if we add or subtract the additive identity to any element of the set, that element remains unchanged.
• Let a be the 'additive identity' of a set X. Then, a+x = x+a = x, for all x ∈ X.
• Generally, the additive identity of a set is denoted by 0.
• Now for the set of 'natural numbers', there does not exist an additive identity because the set of 'natural numbers' is N = {1, 2, 3, 4, 5, 6, ....}.
• Since 0 ∉ N, there is no additive identity for the set of 'natural numbers'.

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