## Related Words

# 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.

### Examples of Rational Numbers

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

### Video Examples: Definition of Rational Numbers

### 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.

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