Definition of Natural Numbers
Natural numbers are the set of positive integers starting from 1 and going upwards (1, 2, 3, ...). They are used for counting and ordering.
Definition of Whole Numbers
Whole numbers include all natural numbers and also the number 0. Hence, the set of whole numbers is (0, 1, 2, 3, ...).
Relationship Between Natural and Whole Numbers
- Natural numbers are a subset of whole numbers.
- Every natural number is a whole number, but not every whole number is a natural number.
Conclusion
- The statement "All natural numbers are whole numbers" is True.
- Whole numbers encompass natural numbers and the number zero, while natural numbers do not include zero.
Key Points
- Natural Numbers: {1, 2, 3, ...}
- Whole Numbers: {0, 1, 2, 3, ...}
- Inclusion: Natural numbers are part of whole numbers.
Understanding these definitions and relationships is crucial for grasping basic mathematical concepts, especially in number theory and arithmetic.