Operations with Complex Numbers Answers

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1
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Which property of addition is shown below?a + bi + c + di = a + c + bi + di

A
identity property
B
associative property
C
commutative property
D
inverse property
2
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Which property of addition is shown below?If x = a + bi and y = –a – bi, x + y = 0.

A
commutative property
B
identity property
C
associative property
D
inverse property
3

Evaluate when and .

Question illustration
A
29 i
Option A
B
29 i minus 20
Option B
C
Negative 21 i
Option C
D
29
Option D
4

Donte simplified the expression below.What mistake did Donte make?

Question illustration
A
He did not apply the distributive property correctly for 4(1 + 3i).
B
He did not distribute the subtraction sign correctly for 8 – 5i.
C
He added the real number and coefficient of i in 4(1 + 3i).
D
He added the two complex numbers instead of subtracted.
5

Aiko is finding the sum (4 + 5i) + (–3 + 7i). She rewrites the sum as (–3 + 7)i + (4 + 5)i. Which statement explains the error Aiko made by using a mathematical property incorrectly?

A
Aiko incorrectly used the commutative property by changing the order of the two complex numbers.
B
Aiko incorrectly used the associative property by changing the order of the two complex numbers.
C
Aiko incorrectly used the identity property by combining the real number and the coefficient of the imaginary part.
D
Aiko incorrectly used the distributive property by combining the real number and the coefficient of the imaginary part.

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