Question

The difference between the successor and predecessor of a natural number is

Answer 1

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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.

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Answer 2

Answer:

the difference between the successor and predecessor is equal to 2.

Step-by-step explanation:

The term successor and predecessor in maths signify that are directly after or before a particular number, respectively. Furthermore, this applies only to whole numbers. Successor and predecessor are called after number and before number respectively. Predecessor refers to the previous term of a particular term while the successor refers to the next term of a particular term. In order to find the successor of a whole number, one must add one to the particular given number. In order to find a predecessor, one must subtract one from the particular given number.

Complete step-by-step answer:

Let us suppose that we have a number “a” then the successor and predecessor of the number is (a+1) and (a−1).

Now the difference between the successor and predecessor is as follows:

(a+1)−(a−1)=2

Hence, the difference between the successor and predecessor is equal to 2.

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