Final answer:
When using negative numbers with the division algorithm, you should consider the sign of the divisor, absolute values, and the dividend.
Step-by-step explanation:
When using negative numbers with the division algorithm, you should think about the sign of the divisor, absolute values, and the dividend only. The sign of the divisor determines whether the quotient will be positive or negative. Absolute values are used to ensure that the divisor and dividend are positive. The dividend represents the number being divided, and it is important to consider its sign as well.
For example, let's suppose we have the division problem -15 รท 3. The divisor is 3, which is positive, so the quotient will be negative. Since we are working with negative numbers, we need to consider the absolute values of the divisor and dividend, which are 3 and 15, respectively. Finally, since the dividend is also negative, the final answer will be -5.