Operations on Real Numbers Quiz

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Questions and Answers

Which of the following is NOT a property of sets?

  • A set can only contain unique elements (correct)
  • A set can contain both rational and irrational numbers
  • A set is a collection of numbers
  • An element of a set is a specific number within the set

What is the relationship between a subset and its parent set?

  • A subset is always a proper superset of the parent set
  • A subset contains exactly the same elements as the parent set
  • A subset contains some, but not necessarily all, of the elements of the parent set (correct)
  • A subset is always a disjoint set from the parent set

What is the key difference between a rational number and an irrational number?

  • Rational numbers are always positive, while irrational numbers can be negative
  • Rational numbers can be written as a fraction of two integers, while irrational numbers cannot (correct)
  • Rational numbers are always whole numbers, while irrational numbers are always non-whole numbers
  • Rational numbers have a finite decimal representation, while irrational numbers have an infinite non-repeating decimal representation

Which of the following statements about operations on rational and irrational numbers is false?

<p>The product of a rational number and an irrational number is always irrational (D)</p> Signup and view all the answers

Which of the following is a valid way to represent a set?

<p>{1, 2, 3, 4} (A)</p> Signup and view all the answers

What is the key property that distinguishes a rational number from an irrational number?

<p>Rational numbers can be written as a fraction of two integers, while irrational numbers cannot (A)</p> Signup and view all the answers

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