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The Number System Unit Test 1 through 15

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Sure, I can help you create a unit test on the Number System. Here are 15 questions covering various concepts within the Number System, including natural numbers, whole numbers, integers, rational and irrational numbers, and real numbers. You can mix and match the question formats as needed.

Unit Test: Number System

Instructions: Answer all questions. Each question carries equal marks.

  1. Multiple Choice: Which of the following is a rational number?
    a) √2
    b) 0.75
    c) π
    d) e

  2. True or False: Every integer is a whole number.

  3. Fill in the Blank: The set of all positive whole numbers including zero is called ____.

  4. Short Answer: Provide an example of an irrational number.

  5. Multiple Choice: Which of the following sets contains only irrational numbers?
    a) {√3, √5, √9}
    b) {π, √7, 0}
    c) {√2, √8, 1}
    d) {√11, 4/3, √6}

  6. True or False: The sum of any two rational numbers is always a rational number.

  7. Fill in the Blank: The set of negative numbers and zero is known as the set of ____.

  8. Short Answer: Explain the difference between a natural number and an integer.

  9. Multiple Choice: Which of the following is an integer?
    a) 3.14
    b) -7
    c) 1/2
    d) √4

  10. True or False: The decimal representation of a rational number is always terminating or repeating.

  11. Fill in the Blank: The set of rational numbers is denoted by the symbol ____.

  12. Short Answer: Explain why the number zero (0) is considered a whole number but not a natural number.

  13. Multiple Choice: Which of the following is NOT a real number?
    a) -3
    b) √-1
    c) 2/5
    d) 0

  14. True or False: All natural numbers are also rational numbers.

  15. Short Answer: Write down the decimal approximations of both π and √2 and explain why they are considered irrational numbers.

Answer Key

  1. b) 0.75
  2. False
  3. Whole Numbers
  4. Example: √2
  5. b) {π, √7, 0}
  6. True
  7. Integers
  8. A natural number is a positive integer starting from 1, whereas an integer includes both positive and negative whole numbers and zero.
  9. b) -7
  10. True
  11. Q
  12. Zero is a whole number because it is non-negative, but natural numbers traditionally start from 1.
  13. b) √-1
  14. True
  15. π ≈ 3.14, √2 ≈ 1.414; they are irrational because they cannot be expressed as a fraction of two integers.

Feel free to adjust the questions or the difficulty level according to your needs!