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

Additional Links for Rational Numbers

• Click here for samples
• Back to Mathematics Dictionary