A budget analyst is calculating the average monthly change in revenue for a retail store. The calculation requires dividing a negative total revenue change (e.g., ${}-1500$) by a positive number of months (e.g., ${}3$). According to the fundamental rules for the division of signed numbers, what is the sign of the quotient when dividing a negative number by a positive number?

A warehouse manager is correcting an inventory error. If they multiply a negative unit price adjustment by a negative quantity correction, the mathematical rule for signed numbers states that the resulting total value will have a ____ sign.

In a corporate accounting system, if a manager multiplies a negative value representing an inventory loss (e.g., ${}-50$) by a negative value representing a reconciliation adjustment (e.g., ${}-2$), the mathematical rule for signed numbers states that the resulting product will be negative.

Rules for Multiplying and Dividing Signed Numbers

In professional accounting and inventory management, signed numbers are used to track financial gains and losses. Match each mathematical operation scenario below with the correct rule for determining the sign of the result.