Transfinite arithmetic
--- Introduction ---
This is an exercise as well as a game. Let a set E of k
elements in the finite ring /n, represented by k integers
between 0 and n-1. For any element t /n, the addition
or multiplication by t transforms E into another set
Et /n.
Thus the exercise generates two sets E,F /n, of
the same number of elements, and asks you to transform
E into F by successive additions and multiplications by
elements of /n. And you will be scored according to the number
of steps you make.
Choose the level of difficulty:
1
2
3
4
5
6
7
8
9
You can also configure the exercise by
a detailed menu.
The most recent version
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- Description: transformation in Z/nZ by addition and multiplication. interactive exercises, online calculators and plotters, mathematical recreation and games
- Keywords: interactive mathematics, interactive math, server side interactivity, algebra, integer, congruence, modular arithmetic, arithmetic