Operations with Complex Numbers Answers
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Which property of multiplication is shown below? If x = a + bi and y = c + di, x × y = y × x.
A
commutative propertyB
identity propertyC
distributive propertyD
associative property2
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What is the value of the product (3 – 2i)(3 + 2i)?
A
5B
9 + 4iC
9 – 4iD
133
What is the additive inverse of the complex number –8 + 3i?
A
–8 – 3iB
–8 + 3iC
8 – 3iD
8 + 3i4
Evaluate when and .
A
29 i
B
29 i minus 20
C
Negative 21 i
D
29
5
Which equation demonstrates the additive identity property?
A
(7 + 4 i) + (7 minus 4 i) = 14
B
(7 + 4 i) + 0 = 7 + 4 i
C
(7 + 4 i) (1) = 7 + 4 i
D
(7 + 4 i) + (negative 7 minus 4 i) = 0
7
Which equation illustrates the identity property of multiplication?
A
(a + bi) × c = (ac + bci)B
(a + bi) × 0 = 0C
(a + bi) × (c + di) = (c + di) × (a + bi)D
(a + bi) × 1 = (a + bi)8
The relationship between voltage, E, current, I, and resistance, Z, is given by the equation E = IZ. If a circuit has a current I = 3 + 2i and a resistance Z = 2 – i, what is the voltage of the circuit?
A
4 – iB
4 + iC
8 + iD
8 + 7i9
Which property of addition is shown in the equation below?a + bi + 0 + 0i = a + bi
A
commutative propertyB
inverse propertyC
identity propertyD
associative propertyDid you find these answers helpful?
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