MathsNumber SystemRational NumbersDecimal Representation of Rational Numbers

Decimal Representation of Rational Numbers

Table of Contents

  • Decimal Representation of Rational Numbers
  • Summary
  • What’s Next?

In the previous segment, we saw Different Categories of Numbers that come under Real Numbers. In this segment let us see the Decimal Representation of Rational Numbers.

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    What is the Decimal representation of rational numbers?

    A rational number is a number that can be expressed as ?, where ? ≠ 0

    ?

    There are different types in which a rational number can be written in a decimal form.

    There are two broad categories: Terminating decimals and Non-Terminating decimals. Non-Terminating is again classified into two types: Recurring decimals and Non-Recurring decimals.

    Decimal Forms

    Terminating decimals and non-terminating recurring decimals together form rational numbers.

    Non-terminating non-recurring decimals cannot be expressed as \[ \frac{p}{q} \] and hence, they are not rational numbers.

    Summary

    Rational Numbers
    • Terminating decimals
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