Performing Operations with Complex Numbers Answers
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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)2
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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 property3
Which equation shows an example of the associative property of addition?
A
(–7 + i) + 7i = –7 + (i + 7i)B
(–7 + i) + 7i = 7i + (–7i + i)C
7i × (–7i + i) = (7i – 7i) + (7i × i)D
(–7i + i) + 0 = (–7i + i)4
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.5
What is the value of ?
A
2 – 6iB
2 + 6iC
3 – 3iD
3 + 3i6
What is the additive inverse of the complex number 13 – 2i?
A
–13 – 2iB
–13 + 2iC
13 – 2iD
13 + 2i7
Which property of addition is shown below? 3 + 4i + 5 + 6i = 3 + 5 + 4i + 6i
A
identity propertyB
associative propertyC
commutative propertyD
inverse property8
What is the multiplicative identity of the complex number –4 + 8i?
A
0B
1C
–4 + 8iD
4 – 8i9
What is the sum of 15 – 6i and –2 + 9i?
A
13 + 3iB
17 + 3iC
24 – 147iD
24 + 147i10
Which expression is equivalent to ?
A
–5i – 2B
–4i – 2C
4i – 2D
5i – 2Did you find these answers helpful?
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