Rational and Non-Rational Numbers
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Questions and Answers

Which of the following is a rational number?

  • 2/0
  • 1/2 (correct)
  • 3/0
  • 1/0
  • Which statement about the number 0 is true?

  • 0 only has negative values.
  • 0 can be represented as a fraction. (correct)
  • 0 is not a rational number.
  • 0 cannot be expressed as 0/1.
  • What defines a number as rational?

  • It is always a whole number.
  • It can be expressed as a fraction with a non-zero denominator. (correct)
  • It has a zero denominator.
  • It can be represented in decimal form only.
  • Which of the following fractions is not a rational number?

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    Which of the following representations illustrates a rational number?

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    Study Notes

    Rational Numbers

    • A rational number is defined as any fraction where the denominator is a non-zero integer.
    • Examples of rational numbers include fractions like 1/2, 1/5, and 3/4.
    • The number "0" qualifies as a rational number because it can be expressed as 0 divided by any non-zero integer (e.g., 0/1, 0/2, 0/3).

    Non-Rational Numbers

    • Fractions with zero as the denominator, such as 1/0, 2/0, and 3/0, are not rational numbers.
    • Dividing by zero does not yield a defined numerical value and is considered undefined or infinite.

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    Description

    This quiz explores the concepts of rational and non-rational numbers, defining each and providing examples. Understand how fractions and the property of zero in the denominator relate to these classifications.

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