Whole Number

Natural numbers are a bunch of counts commencing from 1, on the other hand, natural numbers construct a batch with zero (0) known as whole numbers. Nonetheless, zero is an indefinite character, which implies an empty set or no outcome at all. In brief, a whole number is a batch of numbers without any fractions, decimals, or even negative integers. It is the set of zero and positive integers. Or we can announce that a whole number is an integer but a non-negative integer. The central disparity between whole numbers and natural numbers is the existence or scarcity of zeros in the set of whole numbers.

Whole Numbers are numbers or integers starting from 0 to the right on the number line. This will encompass 0,1,2,3,4 and so on. There is no inclusion of fractions or decimals. It is the set of zeros and positive integers. It is exemplified with “W”. Whole numbers or integers include starting from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and so on. Each natural number is a whole number or integer and every whole number or integer is a natural number but not zero. Every whole number is an integer, but all integers are not because integers furthermore encompass negative numbers. Each and every whole number is a rational number, but not every rational number is a whole number. The number line includes positive and negative integers which are positioned at normal intervals. All numbers positioned to the right side of zero, comprising zero, are known as whole numbers.

Whole Numbers 

The properties of whole numbers are founded on arithmetic systems such as subtraction, division, addition, and multiplication. Adding or multiplying two whole numbers will provide a whole number itself. Subtracting two whole numbers may not transpire in a whole number, that is, it can also become an integer. Furthermore, in some prosecutions, dividing two whole numbers concludes infractions. 

Whole Numbers Definition 

A whole number definition is a number without any fractions, it is a mixed set of positive numerals and zero. It is characterised by the character W and the set of digits starting from 0, 1, 2, 3, 4, 5, 6, 7, 8,9, and so on. Zero as a whole implies nothing is null. The numbers which are positive integers encompassing zero, with no decimal or fractional parts such as 2/9, 5.5, and 7.6 are not whole numbers. One can add, subtract, multiply, and divide whole numbers. 

Here are some validities about whole numbers that will assist us to better understand the whole number definition that all natural numbers are absolutely whole numbers. All count digits are whole numbers. All positive integers encompassing zero are whole numbers. All the whole numbers are real numbers.

Smallest Whole Number

A set of whole numbers is a set of real numbers, comprising zero and all positive digits. Nonetheless, negative whole numbers, fractions, and decimals are not included. Whole numbers do not comprise negative digits ​​and commence from 0 to infinity. Therefore, there are no positive numbers that can be less than 0, the smallest whole number is 0.

Every Natural Number Is a Whole Number

Whole numbers are a portion of the number system that encompasses all the positive integers starting from 0 to infinity. Now, we can explain that natural numbers comprise all whole numbers excluding zero. Hence, natural numbers cannot comprise all whole numbers. It is untrue for every whole number to be a natural number. But we can certainly say every natural number is a whole number.

Conclusion

A whole number is a batch of numbers, containing all-natural numbers and 0. They are a portion of the real numbers and do not incorporate fractions, percentages, decimals, or negative digits. Counting numbers are also dealt with as whole numbers.