Fraction and Decimal Positions on a Number Line

This example demonstrates how to locate points on a number line using both fractions and decimals by subdividing intervals into equal parts and marking the corresponding positions. It highlights key ideas such as number line representation, the equivalence between fractional and decimal forms, and the construction strategy of creating fine-grained ticks from a chosen unit segment. The GeoGebra construction uses core commands Point, Segment, Sequence, and Vector to define key points and line segments, then generate subdividing tick marks via sequence data (e.g., “细分刻度”/tick subdivisions). Visible objects like initialpixelperunit, several labeled points (O, Q, R, S, T, U, V, W, Z), additional points for specific fractions (A_1, B_1, A2, A3, A4), and text elements (text1, text12–text16, text3) are used to label the fraction/decimal positions clearly. Suitable for primary to middle school learners and for classroom demonstrations focused on numbers and algebra representation.