How to Identify and Compare Integers on a Number Line

Sheena Doria

This comprehensive math video serves as a fundamental introduction to integers, targeting students encountering negative numbers for the first time. It systematically breaks down the definition of integers, distinguishing them from fractions and decimals, and visualizing them clearly on a horizontal number line. The video moves from abstract definitions to concrete application by using relatble real-world scenarios—such as sea levels, elevator floors, and physical movement—to help students translate verbal descriptions into mathematical integer notation. The content explores several key topics including identifying positive and negative integers relative to zero, translating word problems into integer values (e.g., "backward" means negative), and moving along a number line to visualize addition and subtraction concepts. A significant portion of the video is dedicated to comparing integers using inequality symbols (< and >), with specific focus on the often-confusing concept of comparing two negative numbers, explaining why a number like -3 is actually greater than -5. For educators, this video is an excellent resource for bridging the gap between arithmetic and pre-algebra. It visually reinforces the concept that value increases as one moves right on the number line and decreases to the left. Teachers can use the specific real-life examples provided to create matching activities or word problems, and the clear visual demonstrations of comparison provide a solid foundation for teaching integer operations and inequalities.