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In a × 1 = a = 1 × a and ∀ a ∈ R then '1' is called?
  1. Multiplicative identity
  2. Additive identity
  3. Additive inverse
  4. None of these
Explanation

The number 1 is called the multiplicative identity because multiplying any real number a by 1 leaves it unchanged: a × 1 = 1 × a = a.

This property holds for all real numbers (∀ a ∈ R).

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