Home
Class 6
MATHS
Every whole number is a natural number?...

Every whole number is a natural number?

A

True

B

False

C

Cannot determine

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To determine whether every whole number is a natural number, we need to understand the definitions of whole numbers and natural numbers. ### Step-by-Step Solution: 1. **Define Whole Numbers**: Whole numbers are the set of numbers that include zero and all positive integers. This means whole numbers are: \[ 0, 1, 2, 3, 4, \ldots \] 2. **Define Natural Numbers**: Natural numbers are the set of positive integers that start from 1 and go on to infinity. This means natural numbers are: \[ 1, 2, 3, 4, \ldots \] 3. **Compare the Two Sets**: Now, let's compare the two sets: - Whole numbers: \(0, 1, 2, 3, \ldots\) - Natural numbers: \(1, 2, 3, \ldots\) 4. **Identify the Difference**: The key difference is that whole numbers include 0, while natural numbers do not. Therefore, all natural numbers are whole numbers, but not all whole numbers are natural numbers. 5. **Conclusion**: Since whole numbers include 0, which is not a natural number, we can conclude that the statement "Every whole number is a natural number" is **false**. ### Final Answer: **No, every whole number is not a natural number. The statement is false because whole numbers include 0, which is not a natural number.** ---
Promotional Banner

Topper's Solved these Questions

  • WHOLE NUMBERS

    RS AGGARWAL|Exercise EXERCISE 3B (Fill in the blanks)|1 Videos

  • WHOLE NUMBERS

    RS AGGARWAL|Exercise EXERCISE 3B|6 Videos

  • WHOLE NUMBERS

    RS AGGARWAL|Exercise EXERCISE 3A|7 Videos

  • TWO-DIMENSIONAL REFLECTION SYMMETRY (LINEAR SYMMETRY)

    RS AGGARWAL|Exercise EXERCISE|10 Videos

Similar Questions

Explore conceptually related problems

Are the following statements true or false? Give reasons for your answer? Every whole number is a natural number Every integer is a rational number.Every rational number is an integer.Every natural number is a whole number.Every integer is a whole number Every rational number is a whole number

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

Which of the following statements are true and which are false? (i) Every whole number is a rational number. (ii) Every integer is a rational number. (iii) 0 is a whole number but it is not a rational number.

All whole numbers are natural numbers.

Every whole number is an integer.

Among the following statements,the statement with is not correct is Every natural number is an integer.Every natural number is a real number.Every real number is a rational number.(d) Every integer is a rational number.

Consider the following statements : 1. Every natural number is a real number. 2. Every real number is a rational number. 3. Every integer is a real number. 4. Every rational number is a real number. Which of the above statements are correct?

Which of the following statements are true (T) and which are false (F)? All whole numbers are natural numbers.

If A = {whole numbers} and B = {natural numbers}, then A DeltaB = "_____" .