The difference is that multiplying any number by 0 results in 0, while multiplying any number by 1 results in the original number itself.
Explanation:
When we perform multiplication, we are essentially scaling a number. Multiplying by 1 leaves the original number unchanged, acting as an identity. Multiplying by 0, however, essentially "nullifies" the number, always resulting in zero.
Examples:
Here's a table illustrating the difference:
| Number | Multiplied by 0 | Multiplied by 1 |
|---|---|---|
| 5 | 0 | 5 |
| 10 | 0 | 10 |
| -3 | 0 | -3 |
| 0 | 0 | 0 |
| 1 | 0 | 1 |
In summary:
Multiplying by zero always yields zero, effectively erasing the original number. Multiplying by one preserves the original number. The result is a difference equal to the original number.
