# What are the most vital properties of natural numbers?

124 In the world of mathematics, the natural numbers can be simply termed as the numbers that can be perfectly utilised in terms of counting and the set of natural numbers will be the one, two, three, five and so on and this particular number set has been perfectly represented by the alphabet N.

There are broadly four types of properties of the basic natural numbers and these properties have been explained as follows:

1. The closure property:If any two natural numbers will be there then their sum will also come out to be the natural number and in simple terms, if any two natural numbers will be multiplied then their product will also be a natural number. Hence, this particular property of closure will make sure that addition and multiplication will always produce natural numbers.
2. The associative property: As per this particular property the sum or product of any kind of three natural numbers will always remain the same irrespective of the grouping of numbers being changed by the people. So, the set of natural numbers will always be associative under the world of addition and multiplication without any kind of problem.
3. The commutative property: The sum or product of two natural numbers will always remain the same irrespective of the changing order of the natural numbers. These kinds of natural numbers are considered to be commutative under addition and multiplication and one can always go with the option of checking out this particular concept very easily by taking different kinds of examples.
4. The distributive property: The distributive property will always be based upon multiplication and subtraction or addition in a set of three which will make sure that if the sequence has been changed then there will be no change in the overall result and the overall answer will be very much accurate throughout the process.

Every natural number is considered to be a whole number and this particular statement will be very much true because the natural numbers are considered to be the positive integers that will start from one and will go till infinity whereas the whole numbers are the numbers that will begin from zero and will go till infinity. These kinds of numbers can also be represented on the number line so that kids are further very much clear about the basic things and further being clear about different kinds of operations to be performed on the natural numbers is very much important.

Addition, subtraction, division and multiplication can be perfectly undertaken in the cases of natural numbers and zero will not have any kind of positive or negative value because all the positive numbers are natural numbers hence one can say that zero is a natural number and zero is also considered to be a whole number. Hence, registering the kids on platforms like cuemath.com is a wonderful idea on the behalf of parents so that kids are always taught by the experts of the industry which will further make sure that the basics of the kids will be clear and overall goals will be efficiently achieved.