Performing Operations with Complex Numbers Answers
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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)2
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Which expression is equivalent to ?
A
–5i – 2B
–4i – 2C
4i – 2D
5i – 23
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)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 sum of 15 – 6i and –2 + 9i?
A
13 + 3iB
17 + 3iC
24 – 147iD
24 + 147i6
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)7
What is the additive inverse of the complex number 13 – 2i?
A
–13 – 2iB
–13 + 2iC
13 – 2iD
13 + 2i8
Which property of addition is shown in the equation below? c + di + 0 + 0i = c + di
A
commutative propertyB
inverse propertyC
identity propertyD
associative property9
What is the multiplicative identity of the complex number –4 + 8i?
A
0B
1C
–4 + 8iD
4 – 8i10
What is the value of ?
A
2 – 6iB
2 + 6iC
3 – 3iD
3 + 3iDid you find these answers helpful?
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