Operations with Complex Numbers Answers
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What is the additive inverse of the complex number 9 – 4i?
A
–9 – 4iB
–9 + 4iC
9 – 4iD
9 + 4i2
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Which property of addition is shown below?a + bi + c + di = a + c + bi + di
A
identity propertyB
associative propertyC
commutative propertyD
inverse property3
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
4
What is the value of the product (3 – 2i)(3 + 2i)?
A
5B
9 + 4iC
9 – 4iD
135
Donte simplified the expression below.What mistake did Donte make?
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.6
Which equation shows an example of the associative property of addition?
A
(–4 + i) + 4i = –4 + (i + 4i)B
(–4 + i) + 4i = 4i + (–4i + i)C
4i × (–4i + i) = (4i – 4i) + (4i × i)D
(–4i + i) + 0 = (–4i + i)7
What is the additive inverse of the complex number –8 + 3i?
A
–8 – 3iB
–8 + 3iC
8 – 3iD
8 + 3i8
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)9
Which property of addition is shown below?If x = a + bi and y = –a – bi, x + y = 0.
A
commutative propertyB
identity propertyC
associative propertyD
inverse property10
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 propertyDid you find these answers helpful?
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