Multiplying Whole Numbers by Multiples of 1000

MatholiaChannel

This educational video provides a clear, step-by-step tutorial on multiplying whole numbers by multiples of 1,000 (e.g., 4,000, 5,000, 9,000). The video demonstrates the concept using the associative property of multiplication, breaking down larger numbers into factors to simplify the calculation process. It serves as a visual guide for mental math strategies involving large numbers. The content focuses on three specific examples of increasing difficulty: multiplying a single-digit number by thousands (7 x 4,000), a double-digit number by thousands (12 x 5,000), and a more complex double-digit multiplication (23 x 9,000). Through these examples, the video explores key arithmetic themes such as decomposition of numbers, column multiplication for intermediate steps, and the patterns involved when multiplying by powers of ten. For educators, this video is an excellent resource for teaching 4th and 5th-grade math students how to handle multi-digit multiplication without getting overwhelmed by zeros. It visually reinforces the strategy of ignoring the zeros, performing the core multiplication, and then re-attaching the zeros—mathematically justifying why this 'trick' works. It is ideal for introducing the topic, reviewing mental math strategies, or supporting students who struggle with large number arithmetic.