How to Multiply Positive and Negative Integers

Sheena Doria

This educational video provides a clear, step-by-step guide on how to multiply integers, covering positive, negative, and zero values. It begins by reviewing the terminology of multiplication—identifying the multiplicand, multiplier, and product—before diving into specific examples. The video utilizes a visual "counters" model (green for positive, red for negative) to conceptually demonstrate why certain sign rules exist, specifically using an animation of flipping counters to represent the "opposite" action required when multiplying by a negative number. The content is structured to scaffold learning, starting with familiar positive-times-positive examples, moving to the conceptually difficult negative-times-negative scenarios, and concluding with mixed signs. Through this progression, the narrator helps students discover the two fundamental rules of integer multiplication: multiplying integers with the same sign yields a positive result, while multiplying integers with different signs yields a negative result. Teachers will find this video particularly valuable for its visual explanation of the "negative times negative equals positive" rule, which is often abstract for students. The use of digital manipulatives allows learners to visualize the mathematical logic rather than rote memorization. It is an excellent resource for introducing integer operations in middle school or for intervention with students struggling to grasp signed number properties.