Subtracting Integers on a Number Line
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① This example visually demonstrates integer subtraction on a number line using vector arrows, showing how subtraction corresponds to moving left or right along the line. ② The core mathematical concept is integer subtraction and its geometric interpretation through direction, distance, and vectors, reinforcing the rule that subtracting a number is equivalent to adding its opposite. ③ Construction highlights: The GeoGebra Vector command is used to create vector objects (A, B, A_1, B_1, u, v, w, C), where each vector's start and end points define its length and direction, representing the minuend, subtrahend, and difference clearly on the number line. ④ Suitable for upper elementary to middle school students learning integer operations, and useful for classroom demonstrations or self-guided exploration to build intuitive understanding of negative numbers.
GeoGebra Commands & Parameters
Vector((0, -2), (A, -2)) → uVector((A, -3), (A - B, -3)) → vVector((0, 0.5), (A - B, 0.5)) → w