Rational & Irrational Numbers Flashcards
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Questions and Answers

What is a rational number?

  • A decimal that ends.
  • A number that can be written as a/b where a and b are integers, and b is not equal to 0. (correct)
  • A number that cannot be expressed as a fraction.
  • A decimal that repeats the same digit or block of digits without ending.

    • What is a terminating decimal?

    A decimal that ends.

    What defines a repeating decimal?

    A decimal that repeats the same digit or block of digits without ending.

    Define an irrational number.

    <p>A number that cannot be written as a fraction.</p> Signup and view all the answers

    What is a square root?

    <p>A number that is multiplied by itself to form a product.</p> Signup and view all the answers

    What is a perfect square?

    <p>The product when a whole number is multiplied by itself.</p> Signup and view all the answers

    What are natural numbers?

    <p>Positive counting numbers.</p> Signup and view all the answers

    Define whole numbers.

    <p>Positive counting numbers plus zero.</p> Signup and view all the answers

    What are integers?

    <p>Positive and negative whole numbers.</p> Signup and view all the answers

    What are real numbers?

    <p>All numbers, rational and irrational.</p> Signup and view all the answers

    Study Notes

    Rational and Irrational Numbers

    • Rational Number: Defined as a number expressible in the form a/b where a and b are integers and b is not zero.
    • Terminating Decimal: A decimal that comes to an end; it has a finite number of digits.
    • Repeating Decimal: A decimal that continues infinitely with a repeated sequence of digits, indicated by a bar over the repeating part.
    • Irrational Number: Represents values that cannot be expressed as a fraction; do not convert to either terminating or repeating decimals.

    Key Concepts of Mathematical Terms

    • Square Root: A value that, when multiplied by itself, results in a given number; it is the reverse operation of squaring.
    • Perfect Square: The outcome of an integer multiplied by itself; an integer that is a square of another integer.
    • Natural Numbers: The set of positive counting numbers that start from 1 and can be physically counted.
    • Whole Numbers: Includes all natural numbers plus zero, forming a set of non-negative integers.
    • Integers: Comprises all whole numbers, both positive and negative, including zero.
    • Real Numbers: Encompasses all types of numbers, merging both rational and irrational categories.

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    Test your knowledge on rational and irrational numbers with these flashcards. Learn the definitions and differences between concepts like rational numbers, terminating decimals, and repeating decimals. Perfect for students seeking to understand these key mathematical terms.

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