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Common Core Standard HSN-CN.B.4 Questions

(+) Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number.

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Grade 11 Complex Numbers CCSS: HSN-CN.B.4

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Which of the following complex numbers does not have a corresponding point shown on the given graph?
  1. 8 [ cos(-90°)+isin(-90°) ]
  2. 9√2 [ cos(45°)+isin(45°) ]
  3. √13 [ cos(-33.7°)+isin(-33.7°) ]
  4. 4√5 [ cos(-46.6°)+isin(-46.6°) ]
Grade 11 Complex Numbers CCSS: HSN-CN.B.4
The complex number 2-5i is in which quadrant?
  1. I
  2. II
  3. III
  4. IV
Grade 11 Complex Numbers CCSS: HSN-CN.B.4
What are the polar coordinates of 2-5i to one decimal place?
  1. (5,-68°)
  2. (5.4,68.2°)
  3. (5.4,-68.2°)
  4. (5,68°)
Grade 11 Complex Numbers CCSS: HSN-CN.B.4
The complex number 5+7i is in which quadrant?
  1. I
  2. II
  3. III
  4. IV
Grade 11 Complex Numbers CCSS: HSN-CN.B.4
What are the polar coordinates of -3+7i to one decimal place?
  1. (3.7,-10°)
  2. (-7.6,-113.1°)
  3. (76,113°)
  4. (7.6,113.2°)
Grade 11 Complex Numbers CCSS: HSN-CN.B.4
The complex number 1+i is in which quadrant?
  1. I
  2. II
  3. III
  4. IV
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