every natural number is a whole number true or false

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State whether the following statement is true or false? Give reason for your answer.Every natural number is a whole number.

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State whether the following statement is true or false? Give reason for your answer.

Question

Every natural number is a whole number.

A

True

B

False

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Correct option is A)

Natural numbers is a set of all positive and non zero integers. Whereas whole numbers is as set of all non negative integers inclusive of zero. Hence every natural number is a whole number too.

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Every natural number is a whole number?

Every natural number is a whole number?

Byju's Answer Standard VI Mathematics Whole Numbers Every natural... Question

Every natural number is a whole number?

A True B False Open in App Solution

The correct option is A True

All numbers starting from 1,2,3,4,5... are natural numbers and all numbers starting from 0,1,2,3,4,5.. are the whole numbers.

So, 1,2,3,4,5 are both natural as well as whole numbers.Hence, all natural numbers are whole numbers.

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SIMILAR QUESTIONS

Q.

Every whole number is a natural number but every natural number is not a whole number.

Q.

Every whole number is a natural number.

Q.

Are the following statements true or false ? Give reasons for your answer.

(i) Every whole number is a natural number.

(ii) Every integer is a rational number.

(iii) Every rational number is an integer.

(iv) Every natural number is a whole number.

(v) Every integer is a whole number.

(vi) Every rational number is a whole number.

Q. Every whole number except is a natural number.Q. Write 'T' for true and 'F' for false in each of the following:

(i) 0 is the smallest natural number.

(ii) Every natural number is a whole number.

(iii) Every whole number is a natural number.

(iv) 1 has no predecessor in whole numbers.

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Standard VI Mathematics

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State whether the following statements are true or false. (i) Every natural number is a whole number.(ii) Every integer is a whole number. (iii) Every rational number is a whole number.

State whether the following statements are true or false. (i) Every natural number is a whole number. (ii) Every integer is a whole number. (iii) Every rational number is a whole number.

State whether the following statements are true or false. Give reasons for your answers

(i) Every natural number is a whole number.

(ii) Every integer is a whole number.

(iii) Every rational number is a whole number.

Solution:

(i) Every natural number is a whole number.

This statement is true because the set of natural numbers is represented as N = {1, 2, 3...} and the set of whole numbers is W = {0, 1, 2, 3...}. We see that every natural number is present in the set of whole numbers. For example, 5 is a natural number as well as a whole number.

ii) Every integer is a whole number.

This statement is false because the set of integers is represented as Z = { -2, -1, 0, 1, 2...} and the set of whole numbers is W = {0, 1, 2, 3...}. We see that the negative integers are not the elements of the whole numbers set. Thus, negative integers are not a subset of whole numbers. For example, -2 is an integer but not a whole number.

iii) Every rational number is a whole number.

This statement is false as every number represented in the form of p/q where q ≠ 0 does not get simplified to a whole number. For example, 1/2 is a rational number, but not a whole number.

Video Solution:

State whether the following statements are true or false. Give reasons for your answers (i) Every natural number is a whole number. (ii) Every integer is a whole number. (iii) Every rational number is a whole number.

NCERT Solutions Class 9 Maths Chapter 1 Exercise 1.1 Question 4:

Summary:

The statement "Every natural number is a whole number" is true, the statements "Every integer is a whole number" and "Every rational number is a whole number" are false.

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Is zero a rational number? Can you write it in the form p/q, where p and q are integers and q ≠ 0?

Find six rational numbers between 3 and 4.

Find five rational numbers between 3/5 and 4/5.

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