Answers Advanced Algebra Concepts and Connections Operations with Complex Numbers — QuizQuestion 5

5

QuizMultiple Choice

Operations with Complex Numbers — Quiz

Question 5 • Advanced Algebra: Concepts and Connections

Which equation demonstrates the additive identity property?

Answer

A

open paren 7 plus 4 i close paren times 1 is equal to 7 plus 4 i

B

open paren 7 plus 4 i close paren plus open paren negative 7 minus 4 i close paren is equal to 0

C

open paren 7 plus 4 i close paren plus 0 is equal to 7 plus 4 i

D

open paren 7 plus 4 i close paren plus open paren 7 minus 4 i close paren is equal to 14

Explanation

The additive identity is 0 because adding 0 to a number leaves it unchanged. Choice D shows that (7 + 4i) + 0 = 7 + 4i, so the original complex number stays the same. Choice A instead shows a number added to its additive inverse, which gives 0.

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