Hence this proves that the multiplication of natural numbers is always a natural number. This proves that the sum of natural numbers is always a natural number.Ĭlosure property of multiplication: a * b = c.ĥ * 4 = 20, 20 * 20 = 400. This property is applicable to addition and multiplication but is not applicable to subtraction and division.ġ2 + 3 = 15. The sum and product of two natural numbers is always a natural number. There are four operations addition, multiplication, subtraction, and division, that can take place on natural numbers, and lead to four main properties of natural numbers: Every number right to zero except the number 0 are natural number, however, if we include the number 0 we will get whole numbers. All the positive numbers are located to the right of the number 0. The set of natural numbers in Mathematics is written as Īll natural numbers are whole numbers, but all whole numbers are not natural numbers.Įach whole number is a natural number, except zero.Īs we already know the set of natural numbers or whole numbers can be represented on the number line. Set is defined as collection of elements (numbers in this context). Examples of natural numbersĪ few examples of natural numbers are 35, 65, 79, 2000000, 50000 and so on. The set of natural numbers includes only the positive integers, i.e., 1, 2, 3, 4, 5, 6, ……….∞. Natural numbers are the numbers that are used for counting and are a part of real numbers. For example, while counting objects we say, 10 litre of water, 15 cups, 13 books, 3 bottle and so on. The numbers that are used to do these tasks are known as natural numbers. We see numbers everywhere around us, for exchanging money, counting objects, to measure time, for measuring temperature, etc. These are used significantly in our day-to-day activities and speech. We can also say natural numbers are subset of real numbers, because it contains every number that real numbers have except the zero, fractions, decimals, and negative numbers. Natural numbers are called as counting numbers because they do not include zero or negative numbers. Natural numbers are part of the number system, including all the positive numbers from 1 to infinity.
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