what is the additive inverse of the complex number $-8 + 3i$?

- $-8 - 3i$
- $-8 + 3i$
- $8 - 3i$
- $8 + 3i$

Question

what is the additive inverse of the complex number $-8 + 3i$?

- $-8 - 3i$
- $-8 + 3i$
- $8 - 3i$
- $8 + 3i$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Complex Numbers" ], "new_concepts": [ "Additive Inverse of Complex Numbers" ], "current_concepts": [ "Complex Numbers", "Additive Inverse of Complex Numbers" ] } ## Define the additive inverse of a complex number $$ -(a + bi) = -a - bi $$ ## Apply the definition to the given complex number $$ -(-8 + 3i) = 8 - 3i $$

(A) $-8 - 3i$

(B) $-8 + 3i$

(C) $8 - 3i$

(D) $8 + 3i$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Complex Numbers" ] }

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Question

Explanation:

Define the additive inverse of a complex number

Apply the definition to the given complex number

Answer: