Answer
427.8k+ views
Hint: In this question, we will see some basic definitions of the number system. We will see the definition of natural number, whole number and integers with examples. And then decide whether the given statement is true or false.
Complete step-by-step answer:
We have to check whether the given statement i.e. Zero is the smallest natural number or not.
So first of all we will look at some basic definitions.
1. Natural numbers
The numbers starting form 1 and continued up to infinity are called natural numbers. These are also known as counting numbers.
For example- 1, 2, 3, 40 etc.
2. Whole number
Natural numbers including zero are called whole numbers.
For example- 0, 1, 2 ...... up to infinity.
3. Integers
All the positive and negative numbers including zero are called integers.
For example- -4, -3, -2, 0, 1, 5 etc. It extends from negative infinity to positive infinity.
Integers are further classified into three parts:
(i) Positive integer- it contains numbers from 1 to infinity.
(ii) Negative integer- - it contains all the negative numbers.
(iii) Zero integer- it contains zero only.
And hence it is clear from the definition of whole number and natural number that zero is a part of whole number whereas natural number does not consist of zero.
So the given statement is false.
Note: In this type of question we should know the definition that we defined above. You should know that integer positive integers are called natural numbers. Zero is neither a positive number nor a negative number, it is a non positive number. 1 is the smallest natural number.
Complete step-by-step answer:
We have to check whether the given statement i.e. Zero is the smallest natural number or not.
So first of all we will look at some basic definitions.
1. Natural numbers
The numbers starting form 1 and continued up to infinity are called natural numbers. These are also known as counting numbers.
For example- 1, 2, 3, 40 etc.
2. Whole number
Natural numbers including zero are called whole numbers.
For example- 0, 1, 2 ...... up to infinity.
3. Integers
All the positive and negative numbers including zero are called integers.
For example- -4, -3, -2, 0, 1, 5 etc. It extends from negative infinity to positive infinity.
Integers are further classified into three parts:
(i) Positive integer- it contains numbers from 1 to infinity.
(ii) Negative integer- - it contains all the negative numbers.
(iii) Zero integer- it contains zero only.
And hence it is clear from the definition of whole number and natural number that zero is a part of whole number whereas natural number does not consist of zero.
So the given statement is false.
Note: In this type of question we should know the definition that we defined above. You should know that integer positive integers are called natural numbers. Zero is neither a positive number nor a negative number, it is a non positive number. 1 is the smallest natural number.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)