Shormann Algebra Flashcards
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Questions and Answers

What are the main numerals we use in mathematics to represent numbers?

  • 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 (correct)
  • 10, 11, 12
  • I, II, III
  • A, B, C
  • Rules that we use in math specify definite particular things.

    False

    What is the process of discovering rules called?

    inductive reasoning

    What is the process of applying rules called?

    <p>deductive reasoning</p> Signup and view all the answers

    What does the term 'numeral' refer to?

    <p>A symbol or symbols used to express the idea of a number.</p> Signup and view all the answers

    What does 'abstract' mean in mathematical terms?

    <p>Dealing with properties and ideas of things, regardless of feelings.</p> Signup and view all the answers

    What does 'concrete' mean in mathematics?

    <p>Real objects that abstract ideas are based on.</p> Signup and view all the answers

    Study Notes

    Mathematical Concepts and Definitions

    • Numbers as Rules: The foundational numerals in mathematics range from 0 to 9, which serve as the basic building blocks for representing numerical values.
    • General Math Rules: Mathematical rules encompass general principles applicable to a variety of instances rather than specific, detailed scenarios.

    Reasoning Types

    • Inductive Reasoning: This approach involves discovering or formulating rules based on observed patterns or examples.
    • Deductive Reasoning: This method focuses on applying established rules to derive conclusions or solve problems.

    Definitions of Key Terms

    • Numeral: A numeral is a symbol or combination of symbols representing a specific number or value.
    • Abstract Concepts: In mathematics, abstraction refers to discussing properties and ideas independent of emotional or sensory connections, allowing for descriptions applicable to countless concrete instances.
    • Concrete Ideas: The term 'concrete' in mathematics describes tangible objects or scenarios, emphasizing that abstract concepts are fundamentally rooted in real-world entities.

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    Description

    Explore fundamental concepts in algebra with these flashcards. Each card presents a key term along with its definition, helping you grasp important rules and reasoning methods in mathematics. Perfect for students seeking to enhance their algebra knowledge.

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