Define what a natural number is.
Answer
648.6k+ views
Hint: We will start with first defining the natural numbers and then give an example for the same and we will also mention what all is excluded. We will write down how natural numbers are represented in the form of sets. After that we will write down the difference between the whole number and a natural number. Finally, we will decide how natural numbers are shown on a natural number.
Complete step-by-step answer:
Natural numbers are a part of the number system which includes all the positive integers from 1 till infinity and are also used for counting purposes although it does not include zero. So, natural numbers are a part of real numbers, that include only the positive integers i.e. 1, 2, 3, 4,5,6, ………. excluding zero, fractions, decimals and negative numbers.
The set of natural numbers is represented by the letter N, where:
N={1,2,3,4,5,6,....}
Now, let’s see the difference between the natural numbers and whole numbers. So, the major difference between natural and whole numbers is that natural number doesn’t include 0 whereas whole numbers include 0 too:
Now, let’s see how the natural numbers are represented on the natural numbers:
So, this is how the natural numbers are defined.
Note: Remember that natural numbers are always closed under addition and multiplication. The addition and multiplication of two or more natural numbers will always yield a natural number. In the case of subtraction and division, natural numbers do not obey closure property, which means subtracting or dividing two natural numbers might not give a natural number as a result.
Complete step-by-step answer:
Natural numbers are a part of the number system which includes all the positive integers from 1 till infinity and are also used for counting purposes although it does not include zero. So, natural numbers are a part of real numbers, that include only the positive integers i.e. 1, 2, 3, 4,5,6, ………. excluding zero, fractions, decimals and negative numbers.
The set of natural numbers is represented by the letter N, where:
N={1,2,3,4,5,6,....}
Now, let’s see the difference between the natural numbers and whole numbers. So, the major difference between natural and whole numbers is that natural number doesn’t include 0 whereas whole numbers include 0 too:
Now, let’s see how the natural numbers are represented on the natural numbers:
So, this is how the natural numbers are defined.
Note: Remember that natural numbers are always closed under addition and multiplication. The addition and multiplication of two or more natural numbers will always yield a natural number. In the case of subtraction and division, natural numbers do not obey closure property, which means subtracting or dividing two natural numbers might not give a natural number as a result.
Recently Updated Pages
You are the head boyhead girl Write a notice informing class 7 english CBSE

The image formed by a plane mirror is always laterally class 7 physics CBSE

When phenolphthalein is added toNaOH the colour of class 7 chemistry CBSE

Find the least number which when divided by 15 leaves class 7 maths CBSE

Show that one and only one out of n n + 2n or n + -class-7-maths-CBSE

During heavy exercise we get cramps in the legs due class 7 biology CBSE

Trending doubts
Full Form of IASDMIPSIFSIRSPOLICE class 7 social science CBSE

List of coprime numbers from 1 to 100 class 7 maths CBSE

The plural of Chief is Chieves A True B False class 7 english CBSE

Differentiate between weather and climate How do they class 7 social science CBSE

What is BLO What is the full form of BLO class 8 social science CBSE

Explain the Treaty of Vienna of 1815 class 10 social science CBSE


