
Every natural number is integer true or false?
Answer
440.1k+ views
Hint: In this type of question we have to use the concept of different sets of numbers. Firstly we have to consider the definition of natural numbers and integers. Then we will check the difference between natural numbers and integers. After that we have to verify the given statement. If the given statement is correct then we will say it is true, otherwise we will say that the given statement is false.
Complete step-by-step solution:
Now, we have to state whether the statement “Every natural number is integer” is true or false.
Let us define the set of natural numbers and set of integers as follows:
We can define the set of integers as the set of whole numbers (not a fractional number) that can be positive, negative and zero. It is denoted by . Hence, the set of integers is:
We can define the set of natural numbers as the set of positive integers or counting numbers. It is denoted by . Hence, the set of natural numbers is:
By these definitions we can observe that the set of integers consists of whole numbers that can be positive, negative and zero whereas the set of natural numbers does not contains zero and negative integers that is . Thus we can say that the set of Integers is the union of the set of natural numbers and the set .
This implies that all natural numbers are integers.
Hence, the statement “Every natural number is integer” is True.
Note: Students have to note that the natural numbers are the numbers we use in human life for counting purposes and hence they are also known as counting numbers. Also students have to take care when they use different types of sets. Students can use the definitions of sets to find out whether one set is a subset of another set or not. Also students have to verify whether the given statement is true or false.
Complete step-by-step solution:
Now, we have to state whether the statement “Every natural number is integer” is true or false.
Let us define the set of natural numbers and set of integers as follows:
We can define the set of integers as the set of whole numbers (not a fractional number) that can be positive, negative and zero. It is denoted by
We can define the set of natural numbers as the set of positive integers or counting numbers. It is denoted by
By these definitions we can observe that the set of integers consists of whole numbers that can be positive, negative and zero whereas the set of natural numbers does not contains zero and negative integers that is
This implies that all natural numbers are integers.
Hence, the statement “Every natural number is integer” is True.
Note: Students have to note that the natural numbers are the numbers we use in human life for counting purposes and hence they are also known as counting numbers. Also students have to take care when they use different types of sets. Students can use the definitions of sets to find out whether one set is a subset of another set or not. Also students have to verify whether the given statement is true or false.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
School Full course for CBSE students
₹41,848 per year
Recently Updated Pages
Master Class 9 General Knowledge: Engaging Questions & Answers for Success

Master Class 9 English: Engaging Questions & Answers for Success

Master Class 9 Science: Engaging Questions & Answers for Success

Master Class 9 Social Science: Engaging Questions & Answers for Success

Master Class 9 Maths: Engaging Questions & Answers for Success

Class 9 Question and Answer - Your Ultimate Solutions Guide

Trending doubts
Difference Between Plant Cell and Animal Cell

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

What is the Full Form of ISI and RAW

Discuss what these phrases mean to you A a yellow wood class 9 english CBSE

Name 10 Living and Non living things class 9 biology CBSE

Name the states which share their boundary with Indias class 9 social science CBSE
