When we add 1 to any natural number, we get the next number, which is called the Successor of that number.
13 + 1 = 14
So 14 is the successor of 13.
When we subtract 1 from any natural number, we get the predecessor of that number.
13 – 1 = 12
So 12 is the predecessor of 13.
1 has no predecessor in natural numbers.
Natural number with zero forms the whole numbers.
0, 1, 2, 3, 4,
- The smallest natural number is 1.
- The number 0 is the first and the smallest whole nos.
- All natural numbers are whole-numbers.
- All whole-numbers are not natural numbers. For example, 0 is a whole-number but it is not a natural number.
Additive Identity – (0):-
If a is any whole number, then a + 0 = a = 0 + a
2+ 0 = 2 = 0 + 2
So, 0 is the additive identity of whole numbers.
Multiplicative Identity – (1):-
If a is any whole number, then a×1 = a = 1×a
5×1 = 5 = 1×5
So 1 is the multiplicative identity of whole numbers.
Note; zero multiply by any natural number will be 0.