Math Basics: Sets and Fractions
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Questions and Answers

What is the notation that describes elements using a rule?

  • Intersection notation
  • Roster notation
  • Set-builder notation (correct)
  • Union notation
  • What is the term for a collection of unique objects?

  • Element
  • Set (correct)
  • Member
  • Union
  • What is the term for fractions that have the same value but different numerators and denominators?

  • Ordered fractions
  • Simple fractions
  • Complex fractions
  • Equivalent fractions (correct)
  • What is the result of combining all elements from two sets?

    <p>Union</p> Signup and view all the answers

    How do you compare fractions with different denominators?

    <p>Convert both fractions to have the same denominator</p> Signup and view all the answers

    What is the term for the bottom number of a fraction?

    <p>Denominator</p> Signup and view all the answers

    What is the process of reducing a fraction to its simplest form?

    <p>Simplifying fractions</p> Signup and view all the answers

    Study Notes

    Set Theory

    • A set is a collection of unique objects, called elements or members.
    • Sets can be represented using roster notation (listing elements inside curly brackets {}) or set-builder notation (describing elements using a rule).
    • Union of two sets: all elements from both sets combined (e.g., A ∪ B).
    • Intersection of two sets: elements common to both sets (e.g., A ∩ B).
    • Complement of a set: all elements not in the set (e.g., A' or U - A).

    Comparing Fractions

    • A fraction represents a part of a whole, consisting of a numerator (top number) and a denominator (bottom number).
    • Equivalent fractions have the same value, but different numerators and denominators (e.g., 1/2 = 2/4).
    • To compare fractions, follow these steps:
      1. Convert both fractions to have the same denominator (find the least common multiple, LCM).
      2. Compare the numerators; the fraction with the larger numerator is larger.
    • Ordering fractions from least to greatest: arrange fractions in ascending order (e.g., 1/4, 1/2, 3/4).
    • Simplifying fractions: divide both numerator and denominator by their greatest common divisor (GCD) to reduce the fraction to its simplest form.

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    Description

    Test your understanding of set theory and fractions, including union, intersection, and complement of sets, as well as comparing and simplifying fractions.

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