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Which Of The Following Will Result In A Rational Answer

Dwayne Morise

Question: The formula for the circumference of a circle is C= πd, where d is the length of the diameter. If d is a rational number, what can you conclude about the circumference?

  1. It is a fraction.

  2. B. It is a repeating or terminating decimal.

  3. C. It is a rational number.

  4. D. It is an irrational number.

  5. Answer: D. It is an irrational number.

  6. Question: Which of the following will result in a rational answer?

  7. A. multiplying π by a fraction

  8. B. adding the square root of a non perfect square to a whole number

  9. C. adding the square root of a perfect square to π

  10. D. multiplying a fraction by a repeating decimal.

  11. Answer: [ NOT ] A. multiplying π by a fraction

  12. Question:

  13. Answer: [ NOT ] B. the entire answer is being multiplied by a fraction.

  14. Question: Which statement is true about the sum of two rational numbers?

  15. A. It can always be written as a fraction.

  16. B. It can never be written as a fraction.

  17. C. It can always be written as a repeating decimal.

  18. D. It can never be written a terminating decimal.

  19. Answer: A. It can always be written as a fraction.

  20. Question: The product of two rational numbers can always be written as

  21. A. an irrational number.

  22. B. a whole number.

  23. C. an integer.

  24. D. a fraction.

  25. Answer: D. a fraction.

  26. Question: The sum of two rational numbers will always be

  27. A. an irrational number.

  28. B. an integer.

  29. C. a rational number.

  30. D. a whole number.

  31. Answer: The sum of two rational numbers will always be

  32. an irrational number.

  33. an integer.

  34. a rational number.

  35. a whole number.

  36. Question: Which number is irrational?

  37. A. -4

  38. B. 2/9

  39. C. √11

  40. D. 8.26(REPEATING)

  41. Answer: C. √11

  42. Question: Which of the following is rational?

  43. Which of the following is rational?

  44. A. 3 * π

  45. B. 2/3 + 9.26

  46. C. √45 + √36

  47. D. 14.3 + 5.78765239….

  48. Answer: B. 2/3 + 9.26

  49. Question:

  50. Answer: [ NOT ] B. The area is irrational because the numbers in the formula are irrational and the numbers substituted into the formula are rational.

  51. Question: Which number expresses 6.72 as a fraction in simplest form?

  52. A. 6 3/5

  53. B. 6 7/10

  54. C. 6 18/15

  55. D. 6 3/4

  56. Answer: C. 6 18/15