Operations with Complex Numbers — Quiz

Question 3 • Advanced Algebra: Concepts and Connections

Which equation shows an example of the associative property of addition?

Answer

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

open paren negative 4 plus i close paren plus 4 i is equal to 4 i plus open paren negative 4 i plus i close paren

4 i times open paren negative 4 i plus i close paren is equal to open paren 4 i minus 4 i close paren plus open paren 4 i times i close paren

open paren negative 4 plus i close paren plus 4 i is equal to negative 4 plus open paren i plus 4 i close paren

Explanation

The associative property of addition changes how addends are grouped without changing their order: (a + b) + c = a + (b + c). Choice A has this form: (−4 + i) + 4i = −4 + (i + 4i). Choice C changes the order of the addends, so it illustrates the commutative property instead.

AI-written and checked against the verified answer.

More from this Course

Quiz

Quiz

Quiz