Polar Form of 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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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.3
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)4
What is the additive inverse of the complex number 13 – 2i?
A
–13 – 2iB
–13 + 2iC
13 – 2iD
13 + 2i5
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)7
Which expression is equivalent to ?
A
–5i – 2B
–4i – 2C
4i – 2D
5i – 28
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 value of ?
A
2 – 6iB
2 + 6iC
3 – 3iD
3 + 3iDid you find these answers helpful?
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