For this case, Aiko erroneously used the distributive property of the addition.
The correct way to use the distributive property for this case is given by:
[tex] (4 + 5i) + (- 3 + 7i) = (5 + 7) i + (4-3)
[/tex]
From here, rewriting we have:
[tex] (4 + 5i) + (- 3 + 7i) = (5i + 7i) + (4-3)
[/tex]
Simplifying we have:
[tex] (4 + 5i) + (- 3 + 7i) = 12i + 1
(4 + 5i) + (- 3 + 7i) = 1 + 12i
[/tex]
Answer:
the property of addition that she made an error doing is:
D.Distributive
Answer:
D) Distributive
Step-by-step explanation:
Given that Aiko is finding the sum (4+5i)+(-3+7i). She rewrites the sum as (-3+7)i + (4+5)i.
She started with the first step
[tex](4+5i)+(-3+7i)[/tex]
Instead of grouping like terms, one set constant and other set the i terms, she used distributive law for both terms wrongly
Correct method would have been
[tex](4+5i)+(-3+7i)\\=(4-3)+(5i+7i)\\=1+i(5+7)[/tex]
Now Alko should have simplified and wrote the answer as
[tex]1+12i[/tex]
So answer is
D) Distributive
