# The definition of a rational number

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1, Problem 7RCC
To determine

## To define: The definition of a rational number

Expert Solution

### Explanation of Solution

Given:

The rational number

Concept used:

A rational number is a number that can be expressed as the quotient or fraction pq of two integers a numerator p and a non-zero denominator q

Calculation:

In mathematics

A rational number is a number that can be expressed as the quotient or fraction pq of two integers a numerator p and a non-zero denominator q

Since q may be equal to 1

Every integer is a rational number

The set of all rational numbers, the rational, field of rational, or the field of rational numbers is usually denoted by Q

The decimal expansion of a rational number always either terminates after finite number of digits

Any repeating or terminating decimal represents a rational number

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