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Every natural number is a whole number?...

Every natural number is a whole 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 natural number is a whole number, we can break down the definitions and the relationships between these two sets of numbers. ### Step-by-Step Solution: 1. **Define Natural Numbers**: - Natural numbers are the set of positive integers starting from 1 and going up to infinity. - This can be represented as: \[ \text{Natural Numbers} = \{1, 2, 3, 4, 5, \ldots\} \] 2. **Define Whole Numbers**: - Whole numbers include all natural numbers along with zero. - This can be represented as: \[ \text{Whole Numbers} = \{0, 1, 2, 3, 4, 5, \ldots\} \] 3. **Compare the Two Sets**: - From the definitions, we can see that every natural number (1, 2, 3, ...) is also included in the set of whole numbers (0, 1, 2, 3, ...). - However, whole numbers also include the number 0, which is not a natural number. 4. **Conclusion**: - Since every natural number is found in the set of whole numbers, we can conclude that: \[ \text{Every Natural Number is a Whole Number.} \] - Therefore, the statement is true. ### Final Answer: Yes, every natural number is a whole number. ---
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