Performing Operations with Complex Numbers Answers
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Helene is finding the sum (9 + 10i) + (–8 + 11i). She rewrites the sum as (–8 + 11)i + (9 + 10)i. Which statement explains the property of addition that she made an error in using?
A
Helene incorrectly used the commutative property by changing the order of the two complex numbers.B
Helene incorrectly used the associative property by changing the order of the two complex numbers.C
Helene incorrectly used the identity property by combining the real number and the coefficient of the imaginary part.D
Helene incorrectly used the distributive property by combining the real number and the coefficient of the imaginary part.2
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Which equation is an example of the commutative property of multiplication?
A
(8 + 6i) = (6i + 8)B
(8 + 6i)(7 – 9i) = (7 – 9i)(8 + 6i)C
(8 + 6i)(7 – 9i) = (8 + 6i)(7 – 9i)(1)D
(8 + 6i) = (8 + 6i + 0)3
What is the additive inverse of the complex number 13 – 2i?
A
–13 – 2iB
–13 + 2iC
13 – 2iD
13 + 2i4
Which equation illustrates the identity property of multiplication?
A
(x + yi) × z = (xz + yzi)B
(x + yi) × 0 = 0C
(x + yi) × (z + wi) = (z + wi) × (x + yi)D
(x + yi) × 1 = (x + yi)5
What is the value of ?
A
2 – 6iB
2 + 6iC
3 – 3iD
3 + 3i6
Which property of addition is shown below? 3 + 4i + 5 + 6i = 3 + 5 + 4i + 6i
A
identity propertyB
associative propertyC
commutative propertyD
inverse property7
What is the value of the product (4 – 2i)(6 + 2i)?
A
20 – 4iB
20 + 16iC
28 + 16iD
28 – 4i8
What is the sum of 15 – 6i and –2 + 9i?
A
13 + 3iB
17 + 3iC
24 – 147iD
24 + 147i9
Which expression is equivalent to ?
A
–5i – 2B
–4i – 2C
4i – 2D
5i – 210
Which property of addition is shown below? If x = 1 + 2i and y = –1 – 2i, then x + y = 0.
A
commutative propertyB
identity propertyC
associative propertyD
inverse propertyDid you find these answers helpful?
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