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What is the multiplicative identity for integer

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Solution

$- 1$ is multiplicative identity for integers,
i.e., $a \times 1 = 1 \times a = a$ for any integer $a$ .

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Multiplicative identity for integers is

From these two statements, what logic can be drawn for the multiplicative identity of integers?

Statement $1$ : $0$ is the additive identity for integers.

Statement $2$ : Any integer added to zero results in the integer itself.

The multiplicative identity for integers is

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