Predecessor and Successor


 
 
Concept Explanation
 

Predecessor and Successor

Predecessor and Successor:

SUCCESSOR:

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

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.

 

 

 

Sample Questions
(More Questions for each concept available in Login)
Question : 1

On the horizontal number line, the successor of a given number lies to which side of the given number ?

Right Option : B
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Explanation
Question : 2

The product of successor and predecessor of 999 is _____________________

Right Option : B
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Explanation
Question : 3

As we move to the left on a whole number line, how does the value of a number change ?

Right Option : D
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Explanation
 
 


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