The multiplicative identity of -4 + 8i is (B) 1.
What is multiplicative identity?
- An identity element (such as 1 in the group of rational numbers without 0) that leaves unchanged any element by which it is multiplied in a given mathematical system.
To find the multiplicative identity of -4 + 8i:
- So, it is given in the definition that multiplicative identity is that number that when multiplied by the given number, does not changes the given number.
- (-4 + 8i) × 1 = -4 + 8i
- Only 1 when multiplied to -4 + 8i will not change the number.
Therefore, the multiplicative identity of -4 + 8i is (B) 1.
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The correct question is given below:
What is the multiplicative identity of the complex number –4 + 8i?
(A) 0
(B) 1
(C) –4 + 8i
(D) 4 – 8i