Here's an example illustrating both additive and multiplicative inverses using the number 5:
Additive Inverse:
The additive inverse of a number is the value that, when added to the original number, results in zero. For the number 5, the additive inverse is -5.
5 + (-5) = 0
Multiplicative Inverse:
The multiplicative inverse of a number is the value that, when multiplied by the original number, results in one. For the number 5, the multiplicative inverse is 1/5 (or 0.2).
5 * (1/5) = 1
Summary Table:
| Concept | Original Number | Inverse | Result |
|---|---|---|---|
| Additive Inverse | 5 | -5 | 0 |
| Multiplicative Inverse | 5 | 1/5 (0.2) | 1 |
Therefore, -5 is the additive inverse of 5, and 1/5 is the multiplicative inverse of 5.
