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

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.