Understanding Division with Negative Numbers
When dealing with division, particularly with negative numbers, it's essential to remember the rules of signs. Let's break down why (-6) ÷ (-3) = 2.
The Rule of Signs
In division, the rule of signs states:
- Positive ÷ Positive = Positive
- Negative ÷ Negative = Positive
- Positive ÷ Negative = Negative
- Negative ÷ Positive = Negative
Applying the Rule
In our case, we have a negative number divided by a negative number. Following the rule of signs, we know that the result will be positive.
Now, let's focus on the actual division: 6 ÷ 3 = 2.
Therefore, combining the sign rule and the numerical division, we arrive at:
(-6) ÷ (-3) = 2