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Complex Number Jeopardy for Math Class

Test your knowledge of polar and rectangular forms of complex numbers with interactive Jeopardy questions. Practice converting between representations and enhance your math skills. Featuring various challenging queries.

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Complex Number Jeopardy for Math Class

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  1. Jeopardy!for the Classroom

  2. The polar form of(-3,0)

  3. What is (3, π) or (3, 180°)?

  4. The rectangular form of (-2, 3π/2)

  5. What is (0, 2)?

  6. The exactrectangular form of (4, -5π/6)

  7. What is (-2√3, -2)?

  8. The exact polar form of (-3, 3)

  9. What is (3√2, 135°)?

  10. The rectangular form of (-5, π/10)

  11. What is (-4.76, -1.55)?

  12. The exact polar form of 1 - i

  13. What is√2(cos 315°+ i sin 315°)?

  14. The exact polar form of -1 + √3i

  15. What is2(cos 120° + i sin 120°)?

  16. The exact rectangular form of 6(cos 4π/3 + i sin 4π/3)

  17. What is (-3, -3√3)?

  18. The rectangular form of 5(cos 3π/5 + i sin 3π/5)

  19. What is (-1.55, 4.76)?

  20. The polar form of -4

  21. What is 4(cos π + i sin π)?

  22. The rectangular form of r cos Θ = 2

  23. What is x = 2?

  24. The polar form ofx2 + y2 = 9

  25. What is r = 3?

  26. The rectangular form of r = - 7 sin Θ

  27. What is x2 + y2 = -7y?

  28. The polar form of y = -√3 x

  29. What is Θ = 2π/3?

  30. The rectangular form of r sec Θ = 3

  31. What is x2 + y2 = 3x?

  32. The center and radius of r = -2 sin Θ

  33. What are(0, -1) and 1?

  34. The position ofthe first petal ofr = 3 sin 3Θ

  35. What is 30°?

  36. The shape of the graph of r = 4 – 4 sin Θ

  37. What is a cardioid?

  38. The number of petals on the graph ofr2 = 4 sin 2Θ

  39. What is two?

  40. The shape of the graph of r = 3 – 4 cos Θ

  41. What is a limaçon with a loop?

  42. The number of complex roots of -32i1/5

  43. What is five?

  44. z·w ifz = 2(cos 50°+ i sin 50°)w = 3(cos 160° + i sin 160°)

  45. What is 6(cos 210° + i sin 210°)?

  46. Daily Double

  47. The standard form a + bi of [5(cos 2π/3 + i sin 2π/3)]3

  48. What is 125?

  49. z/w in rectangular form ifz = 3(cos 40°+ i sin 40°)w = 6(cos 160° + i sin 160°)

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