Question

Aiko is finding the sum (4 + 5i) + (–3 + 7i). She rewrites the sum as (–3 + 7)i + (4 + 5)i. Which statement explains the error Aiko made by using a mathematical property incorrectly?

Answer 1

have you learned about complex numbers ? what has a form of a +bi

what is ,,a" and what is ,,bi" ?

Answer 2

answer choices:

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.

Answer 3

Aiko tried to change (–3 + 7i) to (–3 + 7)i. However, this is incorrect. She cannot factor out "i" from both -3 and 7i because the (-3) lacks the i. This is an error in the distributive property.

(same logic with (4 + 5i))