Multiplication of Directed Numbers by kwanchau

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2013-09-23 21:02

In collections Directed Numbers

This example demonstrates the multiplication of directed numbers. Key mathematical concepts include the definition and multiplication rules of directed numbers. Using GeoGebra commands such as Point and If, the geometric meaning of directed number multiplication is dynamically illustrated. Suitable for students in middle school and above to learn about directed numbers.

GeoGebra Commands & Parameters

Point(xAxis) → A
Point(xAxis) → B
If(a * b < 0, Sequence[(-n, 0), n, 0, -a * b], Sequence[(n, 0), n, 0, a * b]) → list1_2
If(a * b > 0, Sequence[Semicircle[Element[list1_2, n], Element[list1_2, n + 1]], n, 1, abs(a * b)], Sequence[Semicircle[Element[list1_2, n + 1], Element[list1_2, n]], n, 1, abs(a * b)]) → list2_1

AI Drawing Prompt Reference

Draw a number line and mark two points A and B. Based on the input numbers a and b, if a*b is less than 0, draw a sequence of line segments from 0 to -a*b; if a*b is greater than 0, draw a sequence of line segments from 0 to a*b. Then, based on the sequence, draw semicircles, counterclockwise if a*b is less than 0, and clockwise if a*b is greater than 0, between adjacent points.

The prompt above was compiled from the original drawing commands and is for reference only.