Performing Operations with Complex Numbers — Quiz

Question 6 • Math 4

Which equation is an example of the commutative property of multiplication?

Answer

open paren 8 plus 6 i close paren is equal to open paren 8 plus 6 i plus 0 close paren

open paren 8 plus 6 i close paren times open paren 7 minus 9 i close paren is equal to open paren 7 minus 9 i close paren times open paren 8 plus 6 i close paren

open paren 8 plus 6 i close paren times open paren 7 minus 9 i close paren is equal to open paren 8 plus 6 i close paren times open paren 7 minus 9 i close paren times 1

open paren 8 plus 6 i close paren is equal to open paren 6 i plus 8 close paren

Explanation

The commutative property of multiplication says that changing the order of the factors does not change their product: a × b = b × a. Choice D switches the order of (8 + 6i) and (7 − 9i) while keeping the product equal. Choice A shows the multiplicative identity property, not the commutative property.

AI-written and checked against the verified answer.

More from this Course

Quiz

Quiz

Quiz