Aiko is finding the sum (4+5i)+(-3+7i). She rewrites the sum as (-3+7)i + (4+5)i. Which statement explains the property of addition that she made an error doing?

Acommutative B.Associative C.Identity D.Distributive

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Verified Answer :

carlosego carlosego · Answer 1 · 2018-07-24T09:13:13-04:00

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:

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

From here, rewriting we have:

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

Simplifying we have:

$(4 + 5i) + (- 3 + 7i) = 12i + 1

(4 + 5i) + (- 3 + 7i) = 1 + 12i
$

Answer:

the property of addition that she made an error doing is:

D.Distributive

AlonsoDehner AlonsoDehner · Answer 2 · 2019-04-26T11:51:40-04:00

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

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

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

$(4+5i)+(-3+7i)\\=(4-3)+(5i+7i)\\=1+i(5+7)$

Now Alko should have simplified and wrote the answer as

$1+12i$

So answer is

D) Distributive