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 .
  • 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.

Examples of Rational Numbers

  • , 10.3, 0.6,, - All these are examples of rational numbers as they terminate.

Solved Example on Rational Numbers

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 = is a rational number, but not an integer.

Related Terms for Rational Numbers

  • Decimal
  • Integer
  • Natural Number
  • Ratio
  • Real Number
  • Repeating Decimal
  • Terminating Decimal
  • Whole Number