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which property of addition is shown below? \\(a + bi + c + di = a + c +…

Question

which property of addition is shown below?

\\(a + bi + c + di = a + c + bi + di\\)

identity property
associative property
commutative property
inverse property

Explanation:

Analyze the given equation

$$ a + bi + c + di = a + c + bi + di $$

Identify the change in order

$$ LATEXBLOCK0 $$

The terms \(bi\) and \(c\) have swapped positions.

Determine the algebraic property

$$ x + y = y + x \implies \text{commutative property} $$

Answer:

  • identity property
  • associative property
  • commutative property (Correct answer)
  • inverse property