Understanding Successors and Predecessors in Negative Integers
Negative integers are whole numbers less than zero, represented as -1, -2, -3, and so on. The concepts of successors and predecessors apply to these integers just like they do to positive integers.
Successor of a Negative Integer
- The successor of a negative integer is the next integer greater than it.
- To find the successor, simply add 1 to the negative integer.
- For example:
- The successor of -3 is -2 (-3 + 1 = -2).
- The successor of -5 is -4 (-5 + 1 = -4).
Predecessor of a Negative Integer
- The predecessor of a negative integer is the next integer less than it.
- To find the predecessor, subtract 1 from the negative integer.
- For example:
- The predecessor of -2 is -3 (-2 - 1 = -3).
- The predecessor of -4 is -5 (-4 - 1 = -5).
Visualizing the Number Line
- On a number line, as you move left, you encounter smaller (more negative) numbers, while moving right leads to larger (less negative) numbers.
- Each integer has a unique successor and predecessor, maintaining the order of numbers.
Summary
- Successor: For a negative integer 'n', the successor is 'n + 1'.
- Predecessor: For a negative integer 'n', the predecessor is 'n - 1'.
Understanding these concepts is crucial for mastering integer operations and enhances numerical literacy, especially in mathematical contexts.