Practice Exercise 2.1
1 What is the difference between the successor and predecessor of a whole number?
2 Write the predecessor of 1 in (a) whole number, (b) natural number.
3 Write down the successor and predecessor of 680.
4 Write three consecutive successor of 198.
Answers
Answer:
The successor and predecessor of a whole number are discussed below:
The number that comes just before a number is called the predecessor. So, the predecessor of a given number is 1 less than the given number. Successor of a given number is 1 more than the given number.
For example, 9,99,99,999 is predecessor of 10,00,00,000 or we can also say 10,00,00,000 is the successor of 9,99,99,999.
Definition of Successor:
The number which comes immediately after a particular number is called its successor.
How to find the successor of a number?
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.
Successor and Predecessor
We observe that every whole number has its successor.
Definition of 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.
How to find the predecessor of a 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.
Successor and Predecessor of a Whole Number
1Save
What is Successor and Predecessor of a number?
The Successor and Predecessor of a number are explained using examples.
PREDECESSOR NUMBER SUCCESSOR
(7148 - 1) 7147 7148 (7148 + 1) 7149
(8950 - 1) 8949 8950 (8950 + 1) 8951
(7620 - 1) 7619 7620 (7620 + 1) 7621
(12499 - 1) 12498 12499 (12499 + 1) 12500
To find the predecessor of a number, subtract 1 from the given number.
To find the successor of a number add 1 to the given number.
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 48,09,826 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