Question

which equation illustrates the identity property of multiplication?

\\((a + bi) \cdot c = (ac + bci)\\)
\\((a + bi) \cdot 0 = 0\\)
\\((a + bi) \cdot (c + di) = (c + di) \cdot (a + bi)\\)
\\((a + bi) \cdot 1 = (a + bi)\\)

Explanation:

Define the multiplicative identity property

$$ x \cdot 1 = x $$

Evaluate the given options

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Identify the correct equation

$$ (a + bi) \cdot 1 = (a + bi) $$

Answer:

• (A) \((a + bi) \cdot c = (ac + bci)\)
• (B) \((a + bi) \cdot 0 = 0\)
• (C) \((a + bi) \cdot (c + di) = (c + di) \cdot (a + bi)\)
• (D) \((a + bi) \cdot 1 = (a + bi)\) (Correct answer)