Performing Operations with Complex Numbers Answers
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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 property2
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Daine simplified the expression below. 8(1 + 2i) – (7 – 3i) = 1 + 5iWhat mistake did Daine make?
A
He did not apply the distributive property correctly for 8(1 + 2i).B
He did not distribute the subtraction sign correctly for 7 – 3i.C
He added the real number and coefficient of i in 8(1 + 2i).D
He multiplied the two complex numbers when he should have subtracted.3
What is the multiplicative identity of the complex number –4 + 8i?
A
0B
1C
–4 + 8iD
4 – 8i4
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
Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (–3 + i) + (18 + 5i)?
A
(–3 + i) + (18 + 5i) + 0B
–3 + (i + 18) + 5iC
(–3 + 18) + (i + 5i)D
–(3 – i) + (18 + 5i)6
What is the value of ?
A
2 – 6iB
2 + 6iC
3 – 3iD
3 + 3i7
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)8
What is the additive inverse of the complex number 13 – 2i?
A
–13 – 2iB
–13 + 2iC
13 – 2iD
13 + 2i9
What is the value of the product (4 – 2i)(6 + 2i)?
A
20 – 4iB
20 + 16iC
28 + 16iD
28 – 4i10
What is the sum of 15 – 6i and –2 + 9i?
A
13 + 3iB
17 + 3iC
24 – 147iD
24 + 147iDid you find these answers helpful?
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