Multiplying Two-Digit Numbers Using the Standard Algorithm

MatholiaChannel

This concise educational video demonstrates the standard vertical algorithm for multiplying a 2-digit number by a 2-digit number, specifically using the example 36 x 24. It breaks the process down into two distinct phases: first multiplying by the ones digit (4), and then multiplying by the tens digit (20), emphasizing the importance of place value throughout the procedure. The narration uses precise mathematical language, referring to digits by their value (e.g., "3 tens" rather than just "3"), which reinforces conceptual understanding alongside procedural fluency. The video covers key themes of multi-digit multiplication, regrouping (carrying), and place value. It clearly visualizes the "carry over" process using red digits to distinguish them from the partial products. The step-by-step approach highlights how to handle the partial products separately before summing them up to find the final product. By explicitly stating that the second step involves multiplying by 20 (not just 2), it addresses the common confusion regarding the placement of the zero in the second row. For educators, this resource is an excellent tool for introducing or reviewing the long multiplication algorithm. It can be used to model the correct procedure before students attempt problems independently, or as a remediation tool for students struggling with the mechanics of regrouping. The clear visual separation of steps makes it easy to pause and discuss each component of the algorithm, helping students transition from conceptual area models to this more abstract, efficient method.