What is the sign of the result when a negative number is divided by a negative number?

When dividing a negative number by another negative number, the result is positive. This is based on the fundamental rules of arithmetic involving signs.

When two negative numbers are involved in division, their negative signs cancel each other out, leading to a positive outcome. For example, if you take -6 and divide it by -3, you would arrive at +2. This concept also aligns with the idea that dividing a quantity implies determining how many times the divisor fits into the dividend, and since both numbers being analyzed are negative, the outcome shifts into the positive realm.

This property is crucial for understanding mathematical operations involving integers, as it reflects the consistent behavior of signs across various mathematical scenarios. This principle not only applies to division but also to multiplication, ensuring a coherent understanding of how negative numbers interact in arithmetic.