Successor and Predecessor

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

SUCCESSOR

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.
We observe that every whole number has its successor.


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.
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.


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.

Related Concept

Formation of Numbers.

Finding Out the Numbers

Names of the Numbers.

Numbers Showing on Spike Abacus.

1 Digit Number on Spike Abacus.

2 Digits Number on Spike Abacus.

3 Digits Number on Spike Abacus.

4 Digits Number on Spike Abacus.

5 Digits Number on Spike Abacus.

Large Number.

Place Value Chart.

Place Value.

Problems Related to Place Value.

Expanded form of a Number.

Standard Form.

Comparison of Numbers.

Example on Comparison of Numbers.

Successor and Predecessor of a Whole Number.

Arranging Numbers.

Formation of Numbers with the Given Digits.

Formation of Greatest and Smallest Numbers.

Examples on the Formation of Greatest and the Smallest Number.

Rounding off Numbers.


4th Grade Math Activities

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