It was earlier studied that the integers (both positive and negative numbers) are in an ordered sequence. In this page, the predecessor and successor of an integer is explained.

*click on the content to continue..*

The predecessor of `3` is `2`. Predecessors were introduced in whole numbers.

The successor of `3` is `2`. Successors were also introduced in whole numbers.

The whole numbers are in an ordered sequence. `0, 1, 2, cdots`

Predecessor of a number is 1 less than the number.

Successor of a number is 1 more than the number.

Integers are directed whole numbers.

`3` is `text(aligned:)3` or `text(received:)3`

`-3` is `text(opposed:)3` or `text(given:)3`

One less of `text(received:)3` is `text(received:)2`.

One more of `text(received:)3` is `text(received:)4`.

`-3` represents `text(given:)3`

and `1` additionally given makes it `-4`.

So, the predecessor of `-3` is `-4`.

`-3` represents `text(given:)3`

and `1` additionally received makes it `-2`.

So, the successor of `-3` is `-2`.

Integers (the directed whole numbers) are also in an ordered sequence.

The ordered sequence of integers is given as `cdots,-2, -1, 0, 1, 2, cdots`.

*Solved Exercise Problem: *

What is the predecessor of `-5`?

- `-6`
- `-6`
- `-4`
- Predecessor does not exist for negative numbers

The answer is '`-6`'. In the ordered sequence `cdots,-7,-6,-5,-4,-3,-2,-1, 0, 1, 2, cdots`, `-6` is prior to `-5`.

*Solved Exercise Problem: *

What is the successor of `-7`?

- `-6`
- `-6`
- `-8`
- successor does not exist for negative numbers

The answer is '`-6`'. In the ordered sequence `cdots,-7,-6,-5,-4,-3,-2,-1, 0, 1, 2, cdots`, `-6` succeeds `-7`.

*switch to interactive version*