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What is the additive identity of an integer?

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GinnyAnswer
The additive identity of an integer is the number which, when added to any integer, yields the integer itself. Consider any integer [tex]\( n \)[/tex]. The number we are looking for is [tex]\( x \)[/tex] such that:

[tex]\[ n + x = n \][/tex]

The only number [tex]\( x \)[/tex] that satisfies this equation for all integers [tex]\( n \)[/tex] is 0. This is because adding 0 to any number does not change the value of that number. Therefore, 0 is the additive identity of an integer.

To summarize, the additive identity of an integer is 0.
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