Transfinite arithmetic --- Introduction ---

This is an exercise as well as a game. Let a set

E

k

elements in the finite ring

ℤ / n ℤ

, represented by

k

integers between 0 and

n - 1

. For any element

t \in ℤ / n ℤ

, the addition or multiplication by

t

transforms

E

into another set

E_{t} \subset ℤ / n ℤ

Thus the exercise generates two sets $E$ , $F \subset ℤ / n ℤ$ , of the same number of elements, and asks you to transform $E$ into $F$ by successive additions and multiplications by elements of $ℤ / n ℤ$ . And you will be scored according to the number of steps you make.

Set up Severity level:

You can also configure the exercise by a detailed menu .

The most recent version

This page is not in its usual appearance because WIMS is unable to recognize your web browser.

Please take note that WIMS pages are interactively generated; they are not ordinary HTML files. They must be used interactively ONLINE. It is useless for you to gather them through a robot program.

Description: transformation in Z/nZ by addition and multiplication. Plateforme WIMS d'exercices interactifs et gratuits à données aléatoires avec feedback et corrections automatiques de l'enseignement secondaire au supérieur hébergée par le rectorat de l'académie de Versailles
Keywords: euler, wims, eulerwims, versailles, mathématiques, mathematics, math, maths, physique, sciences, exercices, exercices à données aléatoires avec correction automatique, exercise, interactif, interactive mathematics, interactive math, interactive maths, en ligne, online, calcul, calculus, géométrie, geometry, courbes, curve, graphing, statistiques, statistics, probabilités, probability, algorithmes, algèbre, analyse, arithmétique, fonctions, qcm, quiz, cours, devoirs, éducation, enseignement, teaching, gratuit, free, open source, communs numériques, plateforme, classe virtuelle, virtual class, virtual classes, virtual classroom, virtual classrooms, interactive documents, interactive document, exercices interactifs, correction, feedback, lexique, glossaire, examen, feuilles d'exercices, ressources, outils, création d'exercices, codage, activités, parcours d'apprentissage, algebra, integers, modular_arithmetic