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If you’ve ever struggled to explain subtracting integers on a number line, you aren't alone. In this video, I break down exactly why subtracting negative numbers like 4-(-6) can be so confusing and how a specific visual representation changed my entire perspective on the concept of "difference. Many textbooks and teachers explain this as a rigid procedure, but we’re going deep into the conceptual "why." By the end of this video, you’ll have a new mental model for subtraction that makes the math feel intuitive rather than forced—whether you're a student trying to pass a test or an educator looking for a better way to teach. What You’ll Learn: -How the number line can be looked at in different ways to show different relationships. -How to redefine "difference" to make 4-(-6) visually obvious. -A step-by-step walkthrough of 7 different number line manipulations. -How a growth mindset can help you master complex mathematical expressions. Timestamps: 0:00 Is the Math Book Wrong? 0:54 A Strange Way to Show Subtraction on a Number Line 1:54 How to Use a Number Line to Add Integers (-3+8) 3:05 How to Use a Number Line to Subtract Integers (3-7) 3:51 How to Use a Number Line to Subtract Integers (-2-9) 4:43 Why Would the Book Show 4-(-6) that Way? 5:55 A Second Look at a Dumb Idea; Because Complaining Helps No One 6:13 Adding 3+5 on a number line could be the same as subtracting 8-3 8:54 Another Way to Interpret "Difference;" This Helps So Much! 9:24 Solving 4-(-6) by Considering Difference: The space between 12:35 Practice #1: The Difference of 5 and 2 14:05 Practice #2: The Difference of 2 and -4 #MathEducation #SubtractingIntegers #NumberLines #MiddleSchoolMath #GrowthMindset