How to Multiply Positive and Negative Integers

Miacademy & MiaPrep Learning Channel

This video provides a comprehensive guide to multiplying positive and negative integers, moving beyond rote memorization to explain the underlying logic of integer operations. The narrator, Justin, systematically breaks down four scenarios: positive times positive, negative times positive, positive times negative, and negative times negative. By connecting multiplication to repeated addition and subtraction concepts, the video demonstrates *why* certain sign rules exist, such as why two negatives equal a positive product. The video covers key themes including repeated addition, the relationship between subtraction and adding negatives, and standard algorithms for multi-digit multiplication. A significant portion of the video is dedicated to a step-by-step walkthrough of a complex multi-digit problem (-132 x 24), showing students how to ignore signs during calculation and re-apply the correct sign to the final product. For educators, this resource bridges the gap between conceptual understanding and procedural fluency. It is excellent for introducing integer rules in middle school or reviewing them in pre-algebra. The video includes built-in pause points for student practice, mental math checks, and clear visual summaries of the rules (Same Signs = Positive; Different Signs = Negative), making it ready-to-use for direct instruction or independent learning stations.