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?

Respuesta :

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:

Given the expression: [tex](4+5i)+(-3+7i)[/tex]

Aiko rewrites the equation by factoring out the [tex]i[/tex] from the expression and this wrote it as,

[tex](-3+7)i+(4+5)i[/tex]

but this is wrong because [tex]i[/tex] is an imaginary number which is with a number 5 and 7.

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

She could rewrote it as

[tex](4-3)+i(5+7)[/tex]

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


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