Natural Numbers Whole Numbers Integers Rational Numbers

Following are the examples of rational numbers 0 4 4 3 4 5 7 etc.

The numbers 0 1 2 n all are called whole numbers i e. Unlike rational numbers irrational numbers. Natural numbers and whole numbers we have studied since our primary classes. That is a rational number is a fraction where a is an integer and b is an integer other than zero.

In summary this is a basic overview of the number classification system as you move to advanced math you will encounter complex numbers. All natural numbers are whole numbers and integers. It is very interesting to note here that between any two rational numbers there exist infinite number of rational numbers. The set of non negative integers is the whole numbers z 0 1 2 3.

Rational numbers q rational numbers are the numbers that can be expressed in the form of p q where both p and q are integers and q is not equal to zero. So what makes a fraction decimal rational. Rational numbers are expressed in the numerator denominator form. The examples of natural numbers are 34 22 2 81 134 15 whole numbers.

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Real numbers also include fraction and decimal numbers. Rational numbers contains all natural numbers whole numbers integers. 22 7 16 7 19 2 25 3 10 9 etc. If 0 is included in natural numbers then it is known as whole numbers.

Irrational numbers non recurring and non terminating decimals are called has irrational numbers. A rational number is any real number that can be expressed exactly as a fraction whose numerator is an integer and whose denominator is a non zero integer. A fraction x y where numerator x is an integer 4 3 2 1 0 1 2 3 4 and denominator y is a natural number 1 2 3 4 is rational. Negative numbers are integers only.

Natural numbers are set of positive integers whereas natural numbers along with zero 0 are called as whole numbers where zero is an undefined identity which produces a null result. No the natural numbers are the positive integers sometimes the non negative integers rational numbers are numbers that can be expressed as the quotient of two integers positive or negative. Although all the above conventions are considered as definition but the definition on the basis of all above assumptions can be given in a more appropriate way as. A number that can be written in the form of p q where p and q are integers numbers and q 0 is known as rational numbers.

The set of the rational numbers are denoted by q starting letter of quotient. The negative numbers and 0 are not counted as the natural numbers because 1 is considered as the smallest natural number. Real numbers include natural numbers whole numbers integers rational numbers and irrational numbers. All whole numbers are integers.