Final answer:
Negative 3 divided by 2 equals -1.5 because division follows the rule that a negative number divided by a positive number results in a negative outcome.
The division of the magnitudes equals 1.5, and the negative sign is carried over to the result.
Step-by-step explanation:
The question asks about the process of dividing negative numbers and how a negative number divided by a positive number results in a negative outcome.
In this case, the question is focused on understanding why negative 3 divided by 2 equals -1.5. When we divide -3 (a negative number) by 2 (a positive number), we follow the rule that states when two numbers with opposite signs are divided, the result is negative.
This is because the division is related to multiplication, and when we multiply a negative number by a positive number, the result is negative. Hence, -3 divided by 2 equals -1.5 because: 3 divided by 2 equals 1.5, and since the original number (-3) was negative, the result retains the negative sign, resulting in -1.5.