Subjects complex numbers

Multiplicative Identity F23Dac

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Multiplicative Identity F23Dac


1. **Problem Statement:** Find the multiplicative identity in complex numbers. 2. **Concept:** The multiplicative identity is the complex number which, when multiplied by any complex number, leaves it unchanged. 3. **Recall:** For complex numbers in the form $z = x + yi$, the multiplicative identity is $1 + 0i$. 4. **Explanation:** Multiplying any complex number $z = a + bi$ by $1 + 0i$ gives: $$ (a + bi)(1 + 0i) = a + bi $$ which is the original number. 5. **Answer:** Therefore, the multiplicative identity in complex numbers is $(1,0)$. **Final answer:** (c) (1,0)