Plotting Fraction and Decimal Positions on a Number Line

This example demonstrates how to place given fractions and decimals at their correct locations on a number line, using refined tick marks to make their equivalence visually clear. Key math ideas include number-line coordinate representation, the relationship between fractions and decimals via proportional subdivision, and geometric encoding of numeric values by points. Construction-wise, it builds and manages objects with GeoGebra commands such as Point, Segment, Sequence, and Vector, sets up a baseline and reference structure (e.g., objects like initialpixelperunit, L, B, D0, O), and then performs repeated subdivision using a diameter-as-measure unit to generate finer ticks. A series of points corresponding to intermediate positions (e.g., Q, R, S, T, U, V, W, Z and A_1, A2, A3, A4) is created and labeled through annotation objects (e.g., text1, text12–text16) and list containers (e.g., list6–list8). The setup supports interactive presentation (buttons/controls) for classroom exploration. Suitable for middle/high school and early college learners to practice fraction–decimal conversion, number-line reading, and geometry-based number visualization.