Practice Test

Question 13 • Advanced Algebra: Concepts and Connections

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

Answer

open paren 4 plus 2 i close paren is equal to open paren 4 plus 2 i plus 0 close paren

open paren 4 plus 2 i close paren times open paren 3 minus 5 i close paren is equal to open paren 3 minus 5 i close paren times open paren 4 plus 2 i close paren

open paren 4 plus 2 i close paren is equal to open paren 2 i plus 4 close paren

open paren 4 plus 2 i close paren times open paren 3 minus 5 i close paren is equal to open paren 4 plus 2 i close paren times open paren 3 minus 5 i close paren times 1

Explanation

The commutative property of multiplication says that changing the order of the factors does not change their product: a × b = b × a. Choice B switches the order of (4 + 2i) and (3 − 5i), so it shows this property. Choice C instead shows the multiplicative identity property, since multiplying by 1 does not change a value.

AI-written and checked against the verified answer.

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