Set Representation
Key Features of Whole Numbers
Difference between Whole Numbers & Natural Numbers
⭐ 5 Examples of Natural Numbers (with explanation)
📝Explanation: Whole numbers begin from 0, not negative numbers.
📝 Description: Whole numbers are 0, 1, 2, 3…
📝 Description: Negative numbers are not whole numbers.
📝 Description: Standard notation → W.
📝 Description: Fractions/decimals are not whole numbers.
📝 Description: By definition.
📝 Description: Natural ⊂ Whole.
📝 Description: Predecessor = number – 1; for 0 → –1 (not a whole number).
📝 Description: Successor = n + 1.
📝 Description: Whole numbers keep increasing indefinitely → 0,1,2,3…
📝 Description: Whole numbers: 3 → 4, 5, 6 → 7, in total 3 numbers excluding boundaries 3 & 7.
📝 Description: 9 – 1 = 8. (Predecessor = -1)
📝 Description: N ⊂ W.
📝 Description: Whole numbers are infinite, so no largest whole number.
📝 Description: Direct addition: 0 + 1 + 2 + 3 + 4 = 10
📝 Description: Whole numbers: 10 → 11, 12, 13, 14, 15, 16, 17, 18, 19 → 20, in total 9 numbers excluding boundaries 10 & 20.
📝 Description: 0 and all positive integers.
📝 Description: n × 0 = 0 for all whole numbers.
📝 Description: Whole numbers are infinite.
📝 Description: Inclusive counting → last – first + 1 = 50 – 0 + 1 = 51. Count = 51 (0 to 50)
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