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# Every rational number is

a. a natural number

b. an integer

c. a real number

d. a whole number

**Solution:**

A number is called a __rational number__, if it can be written in the form p/q, where p and q are integers and q ≠ 0.

Any __fraction__ with non zero __denominators__ is a rational number

Example - 1/3, 1/5, 1/7, 3/4, ……

All rational numbers and all __irrational numbers__ together make the collection of __real numbers__

So every real number is either rational or irrational

Therefore, every rational number is a real number.

**✦ Try This: **What are rational numbers?

A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0.

The set of rational numbers is denoted by Q.

In other words, If a number can be expressed as a fraction where both the numerator and the denominator are integers, the number is a rational number.

Example: 1/2, -3/4, 3/10, -7/10, 14/99…..

Therefore, the rational number is a number that is of the form p/q where p and q are __integers__ and q is not equal to 0.

**☛ Also Check: **NCERT Solutions for Class 9 Maths Chapter 1

**NCERT Exemplar Class 9 Maths Exercise 1.1 Problem 1**

## Every rational number is a. a natural number, b. an integer, c. a real number, d. a whole number

**Summary:**

A number is called a rational number, if it can be written in the form p/q, where p and q are integers and q ≠ 0. Every rational number is a real number

**☛ Related Questions:**

- Between two rational numbers a. there is no rational number, b. there is exactly one rational number . . . .
- Decimal representation of a rational number cannot be a. terminating, b. non-terminating, c. non-ter . . . .
- The product of any two irrational numbers is a.always an irrational number, b. always a rational num . . . .

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