The result of dividing an integer by its opposite is always -1.
Here's why:
When you divide any number (except 0) by its opposite, you're essentially dividing it by a negative version of itself. The magnitude remains the same, but the sign becomes negative.
Mathematical Representation:
Let 'n' be an integer. Its opposite is '-n'. The division can be represented as:
n / (-n) = -1 (provided n ≠ 0)
Examples:
- 5 / (-5) = -1
- -10 / 10 = -1
- 100 / (-100) = -1
Important Note:
This rule applies to all integers except 0. Dividing by zero is undefined. If we tried to divide 0 by its opposite (-0, which is also 0), the result would be undefined.
Summary:
Dividing an integer by its opposite consistently yields -1, as it's akin to dividing the number by its negative counterpart.
