Performing Operations with Complex Numbers — Quiz

Question 1 • Math 4

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

Answer

open paren negative 7 plus i close paren plus 7 i is equal to 7 i plus open paren negative 7 i plus i close paren

7 i times open paren negative 7 i plus i close paren is equal to open paren 7 i minus 7 i close paren plus open paren 7 i times i close paren

open paren negative 7 plus i close paren plus 7 i is equal to negative 7 plus open paren i plus 7 i close paren

open paren negative 7 i plus i close paren plus 0 is equal to open paren negative 7 i plus 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 C has the same addends, −7, i, and 7i, in the same order, but changes the grouping. Choice B changes the order of the addends, which illustrates the commutative property instead.

AI-written and checked against the verified answer.

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