What are Whole Numbers?
The numbers 1,2, 3, are called Natural Numbers or Counting Numbers.
Let us add one more number i.e., zero (0), to the collection of natural numbers. Now the numbers are 0,1,2, … These numbers are called Whole Numbers
We can say that whole nos. consist of zero and the natural numbers. Therefore,
Except zero all the whole nos. are natural numbers.
Facts about Whole numbers
1) The smallest natural number is 1.2) The number 0 is the first and the smallest whole nos.
3) There are infinitely many or uncountable number of whole-numbers.
4) All natural numbers are whole-numbers.
5) All whole-numbers are not natural numbers. For example, 0 is a whole-number but it is not a natural number.
The first 50 whole nos. are
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,
11, 12, 13,14, 15, 16, 17, 18, 19, 20,
21,22, 23, 24, 25,26, 27, 28, 29, 30,
31, 32, 33, 34, 35, 36, 37, 38, 39, 40,
41, 42, 43, 44, 45, 46, 47, 48, 49, 50
Some other Important terms to remember
SUCCESSOR-
- The successor of a whole number is the number obtained by adding 1 to it.
- Clearly, the successor of 1 is 2; successor of 2 is 3; successor of 3 is 4 and so on.
PREDECESSOR-
- The predecessor of a whole number is one less than the given number.
- Clearly, the predecessor of 1 is 0; predecessor of 2 is 1; predecessor of 3 is 2 and so on.
The whole number 0 does not have any predecessor.
There is no predecessor of 1 in natural numbers.
Example
(a) 10701 (b) 100499 (c) 5099999 (d) 5670
Solution
a) 10702
b) 100500
c) 5100000
d) 5671
a) 10702
b) 100500
c) 5100000
d) 5671
(a) 14 (b) 100000 (c) 8090 (d) 4321
Solution
a) 12b) 99999
c) 8089
d)4320