** 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