Successor and Predecessor are the terms that are mentioned just before and after the number or term. Learn the definition, examples, and differences of successor and predecessor. Know the logic to find the successor and predecessor of the number. We are explaining the concept with images and solved examples to make it more clear and easy. Check it out!!
Do Refer: Successor and Predecessor of a Whole Number
Successor and Predecessor in Maths
Check out the What is the Successor and Predecessor from the below details. Also, find out different examples to understand deep about Predecessor and Successor.
What is Predecessor?
The predecessor is the value that comes immediately before/right before the particular value. Suppose that the particular value is x, then the predecessor value is before the value of that particular value i.e., x-1. Therefore, to find the predecessor value of any number, we have to subtract 1 from the given value.
Examples:
If x = 15, then the predecessor value of 15 is 15 – 1 = 14
If x = 21, then the predecessor value of 21 is 21 – 1 = 20
If x = 49, then the predecessor value of 49 is 49 – 1 = 48
If x = 90, then the predecessor value of 90 is 90 – 1 = 90
If x = 115, then the predecessor value of 115 is 115 – 1 = 114
Therefore, the predecessor of any number is one less than the original whole number.
What is Successor?
The successor is the value that comes immediately after/right after the particular value. Suppose that the particular value is x, then the successor value is after the value of that particular value i.e., x + 1. Therefore, to find the successor value of any number, we have to add 1 to the given value.
Examples:
If x = 15, then the successor value of 15 is 15 + 1 = 16
If x = 21, then the successor value of 21 is 21 + 1 = 22
If x = 49, then the successor value of 49 is 49 + 1 = 50
If x = 90, then the successor value of 90 is 90 + 1 = 91
If x = 115, then the successor value of 115 is 115 + 1 = 116
Therefore, the successor of any number is one greater than the original whole number.
How to find the Successor and Predecessor of a Number?
To find the predecessor and successor of any value, we apply the basic subtraction and addition methods.
To evaluate the successor and predecessor of any value, we have to apply the basic method of addition and subtraction, respectively. For the successor, we need to add 1 to the given number whereas for the predecessor we have to subtract 1 from the given number. Finding a successor and predecessor is very easy and quick.
- Successor = Given number + 1
- Predecessor = Given number – 1
Let us see some solved examples here to understand better.
Successor and Predecessor Examples
Example 1.
Find the successor of the following numbers:
(i) 15
(ii) -11
(iii) -85
(iv) 91
(v) 149
(vi) 44
(vii) 87
(viii) 78
Solution:
The successor values of the numbers are as follows:
(i) 15 + 1 = 16
The successor value of 15 is 16
(ii) -11 + 1 = -10
The successor value of -11 is – 10
(iii) -85 + 1 = -84
The successor value of -85 is -84
(iv) 91 + 1 = 92
The successor value of 91 is 92
(v) 149 + 1 = 150
The successor value of 149 is 150
(vi) 44 + 1 = 45
The successor value of 44 is 45
(vii) 87 + 1 = 88
The successor value of 87 is 88
(viii) 78 + 1 = 79
The successor value of 78 is 79
Example 2.
Find the predecessor of the following numbers:
(i) -15
(ii) -81
(iii) 65
(iv) -9
(v) 22
(vi) 198
(vii) 55
Solution:
The predecessor values of the numbers are as follows:
(i) -15 – 1 = -16
The predecessor value of -15 is -16
(ii) -81 – 1 = -82
The predecessor value of -81 is -82
(iii) 65 – 1 = 64
The predecessor value of 65 is 64
(iv) – 9 – 1 = -10
The predecessor value of -9 is -10
(v) 22 – 1 = 21
The predecessor value of 22 is 21
(vi) 198 – 1 = 197
The predecessor value of 198 is 197
(vii) 55 – 1 = 54
The predecessor value of 55 is 54
Example 3.
Write the successor and predecessor of the following numbers:
(i) 94
(ii) 114
(iii) 32
(iv) 65
(v) 78
Solution:
The successor and predecessor of the numbers are as follows:
(i) The number is 94
Successor value of 94 is 94 + 1 = 95
Predecessor value of 94 is 94 – 1 = 93
(ii) The number is 114
Successor value of 114 is 114 + 1 = 115
Predecessor value of 114 is 114 – 1 = 113
(iii)The number is 32
Successor value of 32 is 32 + 1 = 33
Predecessor value of 32 is 32 – 1 = 31
(iv)The number is 65
Successor value of 65 is 65 + 1 = 66
Predecessor value of 65 is 65 – 1 = 64
(v)The number is 78
Successor value of 78 is 78 + 1 = 79
Predecessor value of 78 is 78 – 1 = 77
FAQs on Successor and Predecessor
1. What is the main difference between successor and predecessor
The successor is the number that comes after the original number. The predecessor is the number that comes before the original number.
2. Is there any natural number available that has no predecessor value?
Yes, there is a natural number that has no predecessor value i.e., 1. The reason for this is that natural numbers start from 1.
3. Is there any natural number available that has no successor value?
No, there is no natural number that has no successor value. As the natural numbers are infinite and it has no last value.
4. What is the formula for successor and predecessor numbers?
The formula for successor and predecessor are
- Successor = Original number + 1
- Predecessor = Original number – 1