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QuizMultiple Choice

Distance and Midpoints in the Complex Plane

Question 1 • *PGHS Precalculus B

Which property of addition is shown below? 3 + 4i + 5 + 6i = 3 + 5 + 4i + 6i

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

Explanation

The addends 4i and 5 change places: 3 + 4i + 5 + 6i becomes 3 + 5 + 4i + 6i. Switching the order of addends without changing their sum shows the commutative property of addition, so the correct choice is commutative property.

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