28
QuizMultiple Choice

Vectors and Their Components

Question 28 • MO-Algebra II A-CR

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

Answer
A
(–7 + i) + 7i = –7 + (i + 7i)
B
(–7 + i) + 7i = 7i + (–7i + i)
C
7i × (–7i + i) = (7i – 7i) + (7i × i)
D
(–7i + i) + 0 = (–7i + i)

Explanation

The associative property of addition changes the grouping of addends without changing their order: (a + b) + c = a + (b + c). Choice A has exactly this form: (–7 + i) + 7i = –7 + (i + 7i). Choice B changes the order of the terms, so it illustrates the commutative property instead.

AI-written and checked against the verified answer.

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