The successor and predecessor of an integer is discussed below:
The number that is just before a number is called the predecessor. So the predecessor of a given number is 1 less than the given number. The successor of a given number is 1 more than the given number.
For example 9.99,99,999 is the predecessor of 10,00,00,000 or we can also say that 10,00,00,000 is the successor to 9,99,99,999.
Definition of the successor:
The number that comes immediately after a certain number is called the successor.
How do I find the successor of a number?
The successor of an integer is the number that is obtained by adding 1.
The successor of 0 is clearly 1; Successor to 1 is 2; Successor to 2 is 3 and so on.
We observe that every whole number has its successor.
Number + 1 = successor
Definition of the predecessor:
The number that is just before a certain number is called the predecessor.
The predecessor of an integer is one less than the specified number.
How do I find the predecessor of a number?
The predecessor of 1 is clearly 0; Predecessor of 2 is 1; The predecessor of 3 is 2 and so on.
The integer 0 has no predecessor.
We observe that every integer other than zero has its predecessor.
Even if a is the successor to b, then b is the predecessor of a.
Number + 1 = predecessor
Solved examples Successor and predecessor of a number:
Find the successor and predecessor of each of the following integers:
(i) 1000
(ii) 11999
(iii) 400099
(iv) 1000001
(v) 99999
Solution:
(i) 1000
The successor to 1000 is (1000 + 1) = 1001.
The predecessor of 1000 is (1000 – 1) = 999.
(ii) 11999
The successor to 11999 is (11999 + 1) = 12000.
The predecessor of 11999 is (11999-1) = 11998.
(iii) 400099
The successor to 400099 is (400099 + 1) = 400100.
The predecessor of 400099 is (400099 – 1) = 400098.
(iv) 1000001
The successor to 1000001 is (1000001 + 1) = 1000002.
The predecessor of 1000001 is (1000001 – 1) = 1000000.
(v) 99999
The successor to 99999 is (99999 + 1) = 100000.
The predecessor of 99999 is (99999 – 1) = 99998.
What is the successor and predecessor of a number?
The successor and predecessor of a number are explained using examples.
PREDECESSOR NUMBER SUCCESSOR
(7148-1) 71477148 (7148 + 1) 7149
(8950-1) 89498950 (8950 + 1) 8951
(7620-1) 76197620 (7620 + 1) 7621
(12499-1) 1249812499 (12499 + 1) 12500
To find the predecessor of a number, subtract 1 from the given number.
To find the successor to a number, add 1 to the given number.
Difference between successor and predecessor:
1. Write the successor of the given numbers.
(i) 78,95,226
(ii) 10,00,999
(iii) 49.99,999
(iv) 48.09.826
(v) 8,00,78,593
Solution:
(i) The successor of 78,95,226 is (78,95,226 + 1) = 78,95,227
(ii) The successor of 10,00,999 is (10,00,999 + 1) = 10.01,000
(iii) The successor of 49.99.999 is (49.99.999 + 1) = 50.00,000
(iv) The successor of 48.09.826 is (48.09.826 + 1) = 48.09.827
(v) The successor of 8,00,78,593 is (8,00,78,593 + 1) = 8,00,78,594
2. Write the predecessor of the given numbers.
(i) 47,89,300
(ii) 89,78,515
(iii) 78,45,000
(iv) 99, 30, 799
(v) 85,83,221
Solution:
(i) The predecessor of 47,89,300 is (47,89,300-1) = 47,89,299
(ii) The predecessor of 89,78,515 is (89,78,515-1) = 89,78,514
(iii) The predecessor of 78.45.000 is (78.45.000 – 1) = 7844999
(iv) The predecessor of 99,30,799 is (99,30,799-1) = 99,30,798
(v) The predecessor of 85,83,221 is (85,83,221-1) = 85,83,220
Questions and answers about the successor and predecessor of a number:
I. Write the predecessor and successor of the given number
(I)
number |
successor |
321 |
322 |
4567 |
__________ |
9876 |
__________ |
(ii)
number |
predecessor |
768 |
767 |
2010 |
__________ |
5642 |
__________ |
Reply:
I. (i) 4568, 9877
(ii) 2009, 5641
II. Write the successor to each of the following numbers:
(i) 5673
(ii) 2190
(iii) 2045
(iv) 1044
(v) 3109
(vi) 4005
(vii) 8711
(viii) 1241
(ix) 3019
(x) 7045
(xi) 4565
(xii) 8454
Reply:
II. (i) 5674
(ii) 2191
(iii) 2046
(iv) 1045
(v) 3110
(vi) 4006
(vii) 8712
(viii) 1242
(ix) 3020
(x) 7046
(xi) 4566
(xii) 8455
III. Write the successor of each of the following numbers:
(i) 5200
(ii) 4715
(iii) 8213
(iv) 5249
(v) 2801
(vi) 9236
(vii) 5612
(viii) 2076
(ix) 5912
(x) 8102
(xi) 7564
(xii) 6458
Reply:
III. (i) 5199
(ii) 4714
(iii) 8212
(iv) 5248
(v) 2800
(vi) 9235
(vii) 5611
(viii) 2075
(ix) 5911
(x) 8101
(xi) 7563
(xii) 6457
Related concept
4th grade math activities
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