![]() when x is a whole number, x/0 is not defined. The whole number division by 0 is not specified, i.e. So yes, 0 (zero) is not only a whole number but it is also the first whole number.īy multiplying a whole number with 0, the answer will always be 0, i.e. The set of numbers contains all the natural numbers, along with zero. There is no place for negative numbers in the whole numbers line. Whole numbers are shown as ‘W’ and the number set is are constituted in the whole numbers line. They are a set of positive integers and zero. The whole numbers are numbers without fractions. Let us now know in this article about the meaning and properties of whole numbers, which are a part of the number system. It also allows us to perform arithmetic operations like addition, subtraction, and division. It provides a unique representation of each number and the arithmetic and algebraic structure of the figures. Positional notation, also known as the decimal system, is the way in which Whole Numbers are written using place value.A number system is a writing system that frequently uses numbers or other symbols to describe a certain set. For example, in the number 347, the digit 7 represents 7 ones, the digit 4 represents 4 tens, and the digit 3 represents 3 hundred. The first digit from the right represents ones, the second digit represents tens, the third digit represents hundreds, and so on. In Whole Numbers, the value of each digit is determined by its place in the number, starting from the rightmost digit. Place value Indicates the value of a digit-based position in a number. Place value and positional notation are important concepts in understanding how Whole Numbers are written and represented. ![]() Whole Numbers Place value and positional notation Order : Whole Numbers can be ordered from least to greatest or greatest to least.For example, 12 can be fully divided by 3, so 12 ÷ 3 = 4 with no remaining. Divisibility : Whole Numbers can be divided by other Whole Numbers evenly.Distributive property : Multiplication distributes over addition.Identity property : The sum of any whole number and zero is that whole number itself.Associative property : The way you group the numbers when adding or multiplying does not affect the result.Commutative property : The order in which you add or multiply Whole Numbers does not affect the result.This means that if you add, subtract, or multiply any two Whole Numbers, the result is always a whole number. Closure : Whole Numbers are closed under addition, subtraction, and multiplication.Every whole number is a rational number.All natural numbers are whole numbers, but not all whole numbers is a natural number.Every positive integer, including zero, is a whole number.All counting number is a whole numbers.There is no biggest whole number as the list of whole numbers is continued to infinity.Whole numbers starts from 0 to infinity. ![]() Except for 0, every whole number is a natural number.Ī whole number is not a subset of a natural numberĪ natural number is not a subset of the whole numberĬheck of some important key facts regarding whole Numbers. The Set of Natural Numbers starts from 1. Here we have tabulated certain differences between Natural numbers and Whole Numbers below. As a result, we can say that the set of natural numbers is a subset of the set of whole numbers.ĭifference between Natural numbers and Whole Numbers As a result, the Whole Numbers starts from is present in both sets of Natural numbers an whole Numbers. Basically, Whole Numbers are natural numbers including zero. The concept of Whole Numbers is very crucial to understand the Number system in maths. Whole Numbers: Whole numbers are a subset of the number system that comprises all positive integers ranging from 0 to infinity. Uses of Whole Numbers in Our Daily Life.Whole Numbers Place value and positional notation.Difference between Natural numbers and Whole Numbers.NCERT Solutions Class 10 Social Science.NCERT Solutions For Statistics Class 11.
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