Comparing Three-Digit Numbers Using Inequality Symbols

Khan Academy

This educational video demonstrates how to compare two three-digit numbers (394 and 397) using place value strategies and inequality symbols. The narrator walks viewers through the step-by-step process of analyzing the digits in the hundreds, tens, and ones places to determine which number is larger. By aligning the numbers and comparing them digit-by-digit, the video provides a clear methodology for solving comparison problems. The content focuses on key mathematical concepts including place value understanding and the correct usage of "greater than" (>) and "less than" (<) symbols. A significant portion of the video is dedicated to explaining how to remember which symbol to use, providing a visual mnemonic where the "smaller side" of the symbol points to the smaller number and the "bigger side" opens toward the larger number. The narrator demonstrates that the comparison can be written in two valid ways: stating 394 is less than 397, or 397 is greater than 394. For educators, this video serves as an excellent model for teaching 2nd and 3rd-grade students how to articulate mathematical comparisons. It moves beyond just finding the answer to constructing a mathematical sentence (expression) that represents the relationship. The visual demonstration of the inequality symbols helps address the common student confusion between the two signs, making it a practical resource for introducing or reviewing inequalities.