RATIONAL NUMBERS

Definition of Rational Numbers

A Rational Number is a real number written as a ratio of integers with a non-zero denominator.

More About Rational Numbers

  • Rational numbers are indicated by the symbol Q
  • Rational number is written in form, where p and q are integers and q is a non-zero denominator.
  • All the repeating or terminating decimal numbers are rational numbers.
  • Rational numbers are the subset of real numbers.

Video Examples: Definition of Rational Numbers


Examples of Rational Numbers

    3/5,10.3,0.6,12/5,3/4 - All these are examples of rational numbers as they terminate.

Solved Example on Rational Numbers

Ques: Identify a number that is a rational number but not an integer.

    Choices:
    A.
    B. 10.3
    C. - 3.523...
    D. -
    Correct Answer: B

Solution:

    Step 1: - 3.523... is a non-terminating and a non-repeating decimal number, so it is not a rational number.
    Step 2: = - 5 is a rational number and also an integer.
    Step 3: cannot be expressed as a quotient of two integers, so it is not a rational number.
    Step 4: 10.3 = 103 / 10 is a rational number, but not an integer.