Aiko is finding the sum (4 5i) (â€""3 7i). She rewrites the sum as (â€""3 7)i (4 5)i. Which statement explains the error Aiko made by using a mathematical property incorrectly? Aiko incorrectly used the commutative property by changing the order of the two complex numbers. Aiko incorrectly used the associative property by changing the order of the two complex numbers. Aiko incorrectly used the identity property by combining the real number and the coefficient of the imaginary part. Aiko incorrectly used the distributive property by combining the real number and the coefficient of the imaginary part.

Respuesta :

Aiko incorrectly used the distributive property by combining the real number and the coefficient of the imaginary part.

The given imaginary numbers are [tex]4+5i[/tex] and [tex]-3+7i[/tex].

She rewrites the sum as [tex](-3 + 7)i + (4 + 5)i.[/tex]

We need to determine which of the following statement is true about the summation that she takes.

Now,

Let us take these two imaginary numbers as an addition.

Addition = (4 + 5i) + (-3 + 7i)

              = (4-3) + (5+7) i

Since Aiko rewrites the sum as [tex](-3 + 7)i + (4 + 5)i.[/tex] that is wrong.

Aiko made the mistake while applying the distributive property of combination.

Thus, Aiko incorrectly used the distributive property by combining the real number and the coefficient of the imaginary part.

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