How to Subtract Integers Using Rules and Visuals

Sheena Doria

This comprehensive math tutorial breaks down the concept of subtracting integers through three distinct methods: number lines, visual counters, and the standard algorithm. The video begins by reviewing the vocabulary of subtraction (minuend, subtrahend, difference) before diving into conceptual demonstrations. It uses clear visual animations to show how subtraction moves on a number line differ from addition, and how "zero pairs" are necessary when subtracting a larger number from a smaller one using physical counters. The core of the video transitions from visual models to the procedural rule often taught as "Keep-Change-Change" or adding the additive inverse. The narrator systematically guides students through converting subtraction problems into addition problems by changing the operation and finding the opposite of the second number. Several examples are worked through, including subtracting a larger positive from a smaller positive, subtracting negatives from negatives, and subtracting negatives from positives. This resource is highly valuable for middle school math classrooms as it bridges the gap between concrete understanding and abstract procedural fluency. By validating the algorithm with visual counters for every example, it helps students trust the rule rather than just memorizing it. It addresses common stumbling blocks, such as double negatives and borrowing from zero, making it an excellent tool for introducing integer operations or remediating struggling learners.