Successor and Predecessor

The successor and predecessor of a whole number are discussed below:

The number that comes just before a number is called the predecessor. So, the predecessor of a given number is 1 less than the given number. Successor of a given number is 1 more than the given number. 

For example, 9,99,99,999 is predecessor of 10,00,00,000 or we can also say 10,00,00,000 is the successor of 9,99,99,999.


Definition of Successor:

The number which comes immediately after a particular number is called its successor.


How to find the successor of a number?

The successor of a whole number is the number obtained by adding 1 to it.

Clearly, the successor of 0 is 1; successor of 1 is 2; successor of 2 is 3 and so on.

Successor and Predecessor

We observe that every whole number has its successor.

Definition of Predecessor:

The number which comes just before a particular number is called its predecessor.

The predecessor of a whole number is one less than the given number.


How to find the predecessor of a 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.

We observe that every whole number, other than zero, has its predecessor.

Also, if a is the successor of b, then b is the predecessor of a.


For example:

Find the successor and predecessor of each of the following whole numbers:

(i) 1000

(ii) 11999

(iii) 400099

(iv) 1000001

(v) 99999


Solution:

(i) 1000

The successor of 1000 is (1000 + 1) = 1001.

The predecessor of 1000 is (1000 - 1) = 999.


(ii) 11999

The successor of 11999 is (11999 + 1) = 12000.

The predecessor of 11999 is (11999 - 1) = 11998.


(iii) 400099

The successor of 400099 is (400099 + 1) = 400100.

The predecessor of 400099 is (400099 - 1) = 400098.


(iv) 1000001

The successor of 1000001 is (1000001 + 1) = 1000002.

The predecessor of 1000001 is (1000001 - 1) = 1000000.


(v) 99999

The successor of 99999 is (99999 + 1) = 100000.

The predecessor of 99999 is (99999 - 1) = 99998.

Successor and Predecessor of a Whole Number


What is Successor and Predecessor of a number?

The Successor and Predecessor of a number are explained using examples.

           PREDECESSOR                NUMBER                SUCCESSOR

          (7148 - 1) 7147                 7148                  (7148 + 1) 7149

          (8950 - 1) 8949                 8950                  (8950 + 1) 8951

          (7620 - 1) 7619                 7620                  (7620 + 1) 7621

        (12499 - 1) 12498              12499                 (12499 + 1) 12500

To find the predecessor of a number, subtract 1 from the given number.

To find the successor of a number add 1 to the given number.

1. Write the successor of the given numbers.

(i) 78,95,226

(ii) 10,00,999

(iii) 49,99,999

(iv) 48,09,826

(v) 8,00,78,593


Solution:

(i) The successor of 78,95,226 is (78,95,226 + 1) = 78,95,227

(ii) The successor of 10,00,999 is (10,00,999 + 1) = 10,01,000

(iii) The successor of 49,99,999 is (49,99,999 + 1) = 50,00,000

(iv) The successor of 48,09,826 is (48,09,826 + 1) = 48,09,827

(v) The successor of 48,09,826 is (8,00,78,593 + 1) = 8,00,78,594


2. Write the predecessor of the given numbers.

(i) 47,89,300

(ii) 89,78,515

(iii) 78,45,000

(iv) 99,30,799

(v) 85,83,221


Solution:

(i) The predecessor of 47,89,300 is (47,89,300 - 1) = 47,89,299

(ii) The predecessor of 89,78,515 is (89,78,515 - 1) = 89,78,514

(iii) The predecessor of 78,45,000 is (78,45,000 - 1) = 7844999

(iv) The predecessor of 99,30,799 is (99,30,799 - 1) = 99,30,798

(v) The predecessor of 85,83,221 is (85,83,221 - 1) = 85,83,220

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