Predecessor and Successor
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.
On the horizontal number line, the successor of a given number lies to which side of the given number ? | |||
| Right Option : B | |||
| View Explanation | |||
The product of successor and predecessor of 999 is _____________________ | |||
| Right Option : B | |||
| View Explanation | |||
As we move to the left on a whole number line, how does the value of a number change ? | |||
| Right Option : D | |||
| View Explanation | |||
Students / Parents Reviews [20]
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