The rules for dividing negative numbers are very similar to those for multiplying them.
Here's a breakdown:
Rules for Division with Negative Numbers
The key to dividing negative numbers lies in understanding the interaction between the signs of the dividend and the divisor. Remember the following rules:
- Negative Divided by Negative: When you divide a negative number by another negative number, the result is always a positive number.
- Example: (-10) / (-2) = 5
- Negative Divided by Positive: When you divide a negative number by a positive number, the result is always a negative number.
- Example: (-10) / 2 = -5
- Positive Divided by Negative: When you divide a positive number by a negative number, the result is always a negative number.
- Example: 10 / (-2) = -5
Here's a table summarizing these rules for easy reference:
| Dividend | Divisor | Result |
|---|---|---|
| Negative | Negative | Positive |
| Negative | Positive | Negative |
| Positive | Negative | Negative |
Practical Insights
- The division of negative numbers can be seen as the inverse operation of multiplication.
- It's crucial to pay close attention to the signs of the numbers to ensure correct results.
- These rules apply regardless of the absolute values of the numbers involved.
In conclusion, the rule for dividing negative numbers is the same as for multiplying negative numbers. If both numbers are negative, you will get a positive answer. If either number is positive, and the other is negative, you will get a negative answer.
