8
QuizMultiple Choice

Completing The Square

Question 8 • Fall 24 GMS Advanced Algebra: Concepts and Connections A

Which property of multiplication is shown below? If x = a + bi and y = c + di, x × y = y × x.

Answer
A
commutative property
B
identity property
C
distributive property
D
associative property

Explanation

The equation shows that switching the order of the factors does not change their product: x × y = y × x. This is the commutative property of multiplication. The identity property involves multiplying by 1, while the distributive and associative properties describe distributing multiplication over addition and regrouping factors, respectively.

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