The Concept of Successor and Predecessor
The successor and predecessor are basic concepts in number theory, especially when dealing with integers.
Successor of -1
- The successor of a number is the next integer that comes after it.
- For -1, the successor is calculated as follows:
- \(-1 + 1 = 0\)
- Thus, the successor of -1 is 0.
Predecessor of -1
- The predecessor of a number is the integer that comes before it.
- For -1, the predecessor is calculated as follows:
- \(-1 - 1 = -2\)
- Therefore, the predecessor of -1 is -2.
Finding the Sum
Now, to find the sum of the successor and the predecessor of -1:
- We have already determined that:
- Successor = 0
- Predecessor = -2
- To find the sum:
- \(0 + (-2) = 0 - 2 = -2\)
Final Result
The sum of the successor and the predecessor of -1 is -2.
This illustrates how basic arithmetic operations can be applied to understand the relationships between integers and their positions on the number line. Understanding these concepts is fundamental for further studies in mathematics.