How to Subtract Negative Numbers: A Step-by-Step Guide

Understanding Negative Number Subtraction

• 💡 The core principle when subtracting negative numbers is recognizing that two adjacent negative signs can be replaced with a positive sign.
• 🧠 This rule stems from the principles of multiplication with negative numbers: negative times negative equals positive.

Examples of Subtracting Positive by Negative

• 🎯 For 4 - -3, the two negative signs become a plus, transforming the problem into 4 + 3.
• 🚀 Using a number line, start at 4 and move three spaces to the right (for addition), resulting in 7.
• 🎯 Similarly, 3 - -5 simplifies to 3 + 5.
• 📈 On a number line, starting at 3 and moving five spaces to the right yields 8.

Examples of Subtracting Negative by Positive

• ⚠️ For -2 - 3, there are no adjacent negative signs to simplify. Start at -2 and move three spaces to the left (for subtraction), resulting in -5.
• ⚠️ For -5 - 4, start at -5 and move four spaces to the left, resulting in -9.

Examples of Subtracting Negative by Negative

• 🔑 For -3 - -7, the adjacent negative signs change to a plus, becoming -3 + 7.
• 📍 On a number line, start at -3 and move seven spaces to the right (for addition), reaching 4.
• 🔑 For -8 - -3, this simplifies to -8 + 3.
• 📌 Starting at -8 and moving three spaces to the right results in -5.