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 mathematical property that she made an error using?

Answer 1

Answer: The Distributive Property
Aiko didn't seem to realize that rewriting it like that would cause the expression to have a different solution. She should study her math.

Answer 2

Answer:

Given the expression: $(4+5i)+(-3+7i)$

Aiko rewrites the equation by factoring out the $i$ from the expression and this wrote it as,

$(-3+7)i+(4+5)i$

but this is wrong because $i$ is an imaginary number which is with a number 5 and 7.

Therefore,  Aiko cannot factor out the $i$ because it is not present in both numbers -3 and 4

She could rewrote it as

$(4-3)+i(5+7)$

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