What is a Rational Number

                    Rational Numbers

The word comes from “Ratio”, means comparison of two or more numbers.

The natural numbers, whole numbers and integers all are the set of a rational number means any number that can be rewritten in the form of a simple fraction is a rational number.

Natural numbers

All positive integers like 1, 2, 3, 4… are natural numbers.

Whole numbers

All natural numbers including 0 are whole numbers.

Integers

All negative and positive numbers including 0 are known as integers.

Rational numbers

Rational numbers include all natural numbers, whole numbers, integers and fractions.

Definition:

In mathematics a rational number is a number which can be written in the form p/q, where p is and q are integers and q ≠ 0, p is numerator and q is non zero denominator. The denominator in a rational number cannot be zero.

Example:  2/3, -5/4, 6/1, all are Rational Numbers.

3 is a rational number because it can be written as 3/1.

The number 2/3 is a rational number because in this number integer 2 is divide by integer 3. 

7/5 is a rational number because in this number integer 7 is divide by integer 5.

0 is a rational number.

0/0 is not a rational number because there is zero in the denominator.

The number 7 is a rational number because in this number integer 7 is divide by integer 1.

0.2 is a rational number because it can be rewritten as 1/5.

0.25 is a rational number because it can be rewritten as 1/4.

0.75 is a rational number because it can be rewritten as 3/4.

0.33333… is a rational number because it can be rewritten as 1/3.

Zero is a rational number because it can be rewritten as 0/1.

All integers are rational numbers.

Mixed rational numbers

Mixed number 2½ is a rational number, we can write it as 5/2.

Mixed number 4½ is a rational number, we can write it as 9/2.

Mixed number 7½ is a rational number, we can write it as 15/2.

All mixed numbers are rational numbers.