How to Divide a Positive Integer by a Negative Integer

Math with Mr. J

In this targeted math tutorial, Mr. J explicitly demonstrates how to divide a positive integer by a negative integer. The video breaks down the specific rule that governs integer division with unlike signs: when the signs are different, the quotient is always negative. Through clear visual examples on a chalkboard background, the narrator walks students through the process of determining the sign of the answer before calculating the numerical value. The content explores key arithmetic themes including integer operations, the relationship between multiplication and division, and the concept of inverse operations. By solving two distinct examples (18 ÷ -2 and 24 ÷ -6), the video reinforces the connection between 'fact families,' showing how multiplication facts can be used to verify division answers involving negative numbers. This resource is highly valuable for middle school math classrooms introducing rational number operations or Pre-Algebra reviews. Its greatest strength lies in the 'check your work' strategy, where Mr. J reverses the division problem into a multiplication problem to prove why the answer must be negative. This helps move students from rote memorization of rules to a conceptual understanding of why the rules exist.