All natural numbers are whole numbers true or false

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Whole numbers consists of all the natural numbers and 0 .

Question

A

True

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B

False

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Solution

The correct option is ATrueThe group of whole numbers is nothing but all the natural numbers (counting numbers) along with 0. Hence, the given statement is true.

Suggest Corrections

1

Similar questions

Q.

State whether True or False
Whole numbers consist of all the natural numbers and 0.

Q. _____ consists of all natural numbers, their negatives and zero.

Q. Which of the following is/are true?
Statement 1: All whole numbers are natural numbers.
Statement 2: All natural numbers are whole numbers.

Q.

All Natural numbers, Whole numbers and Integers are rational numbers.

Q.

All natural numbers are whole numbers.

Is the statement true if a number is not a natural number then it is not a whole number true?

That depends - unfortunately, "whole number" is ambiguous, and can mean different things to different people. If by "whole number" you mean "natural number", then both are of course the same. If you choose to include negative numbers in your definition of "whole number", i.e., whole numbers = integers, then the two sets are not the same, and the proposed statement is false.

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.

☛ Related Questions:

• 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.