When you start using 1,2,3,4 and so on, you are using the counting numbers or to give them a proper title, you are using the natural numbers. Let us start counting the number of sheeps there in the pic. With which number you will start counting the sheeps zero , one , two ….. or like this one , two , three …. Some people may include zero in N, \mathbb{N}, N, but herein by N \mathbb{N} N let's begin at one. As such, it is a whole, non-negative number. #0# is a rational, whole, integer and real number. You may be counting pennies or buttons or cookies. Representing Natural Numbers on a Number Line. The set of natural numbers, denoted N , can be defined in either of two ways: Natural numbers are what you use when you are counting one to one objects. Natural numbers representation on a number line is as follows: This alone is reason enough for some mathematicians fond of division to banish zero from the realm of natural numbers. Why? However, common usage discovered that 0 was very useful to have, so most people assume that it is. .7 is neither of those. There's also the whole pesky business about division and how division by zero is mostly meaningless. natural numbers are all whole numbers greater than 0. ex. Some definitions include it as a natural number and some don't (starting at #1# instead). it becomes a natural number. Natural numbers, also called counting numbers, are the numbers used for counting things. The natural (or counting) numbers start at 1. Natural numbers are always whole numbers (integers excluding negative numbers) and often exclude zero, in which case one is the smallest natural number. The set of natural numbers can be represented by the symbol . Natural Numbers . But if there is nothing, you do not normally say that there are zero apples. 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. If there are 5 apples, you can count then on your fingers. Zero is the primary difference between natural and whole numbers . A natural number is a number that occurs commonly and obviously in nature. Natural numbers are the numbers small children learn about when they first started to count. because no two natural numbers can add up to 0 or 1, but 1 is the starting number for all the others. The formation of N \mathbb{N} N comes from an operation; addition (+). In fact, 0 is a whole number which has a null value. Natural means something which comes by nature. Instead of adding by one, we may add more than that. Zero would be a very strange natural number to include among the other natural numbers! 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