Building number systems

Grouping objects.

Group identical objects by ten. Point them with the mouse and drag them to each other. The joining point of each picture is located at the top left corner. Group the objects by putting their joining points, one over another. The program does not allow you to make a group bigger than ten identical objects, neither you can group any different objects.

The principals of the positional systems.

To limit the number of necessary symbols in expressing quantity, the humans invented a positional representation of numbers. The system can use any choosen number as its base. Counted elements are grouped. Each group contains the same quantity of identical objects determined by the base, which can be simple units, groups of elements or groups of smaller groups.

Example from decimal system: 243= 2 groups, each containing 10 groups of ten elements, 4 groups of ten elements and 3 units.

2	4	3
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