Kopfrechnen
About points...
We associate a certain number of points with each exercise.
When you click an exercise into a collection, this number will be taken as points for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit the number of points for the exercise in the collection independently, without any effect on "points by default" as represented by the number here.
That being said... How many "default points" should you associate with an exercise upon creation?
As with difficulty, there is no straight forward and generally accepted way.
But as a guideline, we tend to give as many points by default as there are mathematical steps to do in the exercise.
Again, very vague... But the number should kind of represent the "work" required.
When you click an exercise into a collection, this number will be taken as points for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit the number of points for the exercise in the collection independently, without any effect on "points by default" as represented by the number here.
That being said... How many "default points" should you associate with an exercise upon creation?
As with difficulty, there is no straight forward and generally accepted way.
But as a guideline, we tend to give as many points by default as there are mathematical steps to do in the exercise.
Again, very vague... But the number should kind of represent the "work" required.
About difficulty...
We associate a certain difficulty with each exercise.
When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit its difficulty in the collection independently, without any effect on the "difficulty by default" here.
Why we use chess pieces? Well... we like chess, we like playing around with \(\LaTeX\)-fonts, we wanted symbols that need less space than six stars in a table-column... But in your layouts, you are of course free to indicate the difficulty of the exercise the way you want.
That being said... How "difficult" is an exercise? It depends on many factors, like what was being taught etc.
In physics exercises, we try to follow this pattern:
Level 1 - One formula (one you would find in a reference book) is enough to solve the exercise. Example exercise
Level 2 - Two formulas are needed, it's possible to compute an "in-between" solution, i.e. no algebraic equation needed. Example exercise
Level 3 - "Chain-computations" like on level 2, but 3+ calculations. Still, no equations, i.e. you are not forced to solve it in an algebraic manner. Example exercise
Level 4 - Exercise needs to be solved by algebraic equations, not possible to calculate numerical "in-between" results. Example exercise
Level 5 -
Level 6 -
When you click an exercise into a collection, this number will be taken as difficulty for the exercise, kind of "by default".
But once the exercise is on the collection, you can edit its difficulty in the collection independently, without any effect on the "difficulty by default" here.
Why we use chess pieces? Well... we like chess, we like playing around with \(\LaTeX\)-fonts, we wanted symbols that need less space than six stars in a table-column... But in your layouts, you are of course free to indicate the difficulty of the exercise the way you want.
That being said... How "difficult" is an exercise? It depends on many factors, like what was being taught etc.
In physics exercises, we try to follow this pattern:
Level 1 - One formula (one you would find in a reference book) is enough to solve the exercise. Example exercise
Level 2 - Two formulas are needed, it's possible to compute an "in-between" solution, i.e. no algebraic equation needed. Example exercise
Level 3 - "Chain-computations" like on level 2, but 3+ calculations. Still, no equations, i.e. you are not forced to solve it in an algebraic manner. Example exercise
Level 4 - Exercise needs to be solved by algebraic equations, not possible to calculate numerical "in-between" results. Example exercise
Level 5 -
Level 6 -
Question
Solution
Short
Video
\(\LaTeX\)
No explanation / solution video to this exercise has yet been created.
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Visit our YouTube-Channel to see solutions to other exercises.
Don't forget to subscribe to our channel, like the videos and leave comments!
Exercise:
Rechne alle folgen Aufgaben im Kopf aus. small multicols enumerate item frac item frac item frac item frac item frac item frac item frac item frac item frac item fracfrac item fracfrac item fracfrac item fracfrac item fracfrac item fracfrac item fracfracfrac item fracfrac-frac item fracfracfrac- item fracfrac-frac- item frac-fracfrac item frac. item frac. item frac. item frac. item frac. item frac. item frac. item frac. item frac. item frac.. item frac.. item frac.. item frac.. item frac.. item frac.. item frac.. item frac.. item frac.. item frac. % item numpre+numpre item numpre+numpre item numpre+numpre item numpre+numpr item numpr+numpr item numpre+numpre item numpre+numpr item numpr-e+numpre item numpr-e+numpre item numpre+numpre % item numpr.e-numpre item numpr.e -numpr item numpr.e -numpr.e item numpre-numpr.e item numpr.e-numpre item numpr.e-numpre item numpr.e -numpre item numpre -numpre item numpre -numpre item numpr-.e -numpre % item ^ ^ item ^ ^ item numpre numpre item numpre numpr item numpre numpre item numpr numpre item numpr numpr item numpre numpre item numpre leftnumpr-eright item numpr-e leftnumpr-eright % item frac^^ item frac^^ item frac^^- item frac^-^- item frac^-^- item fracnumprenumpre item fracnumprenumpr item fracnumprnumpr item fracnumprnumpr item fracnumprnumpre % item fracnumprnumpr.e item fracnumprnumpre item fracnumprnumpr item fracnumprenumpre item fracnumprenumpre item fracnumprnumpr item fracnumprenumpr-e item fracnumpr-enumpre item fracnumpr-numpr- item fracnumprenumpr-e % item leftnumpreright^ item leftnumpr-eright^ item leftnumpreright^ item leftnumpr-eright^ item leftnumpr-eright^ item leftnumprright^ item leftnumpr-right^ item leftnumprright^ item leftnumpr-right^ item leftnumpr-right^ % item ^ item ^ item ^ item numpr^- item numpr^- item numpr^- item leftnumpreright^- item leftnumpreright^- item leftnumpreright^- item leftnumpr-eright^- item leftnumpr-right^- % item leftnumpr-eright^- item leftnumpr-right^- item sqrt item sqrt item sqrt item sqrt item ^frac item ^frac item ^-frac item ^-frac enumerate multicols
Solution:
small multicols enumerate item numpr. item numpr. item numpr. item numpr. item numpr. item numpr. item numpr. item numpr. item numpr. item fracnumpr. item fracnumpr. item fracnumpr. item frac?numpr item fracnumpr item fracnumpr item fracnumpr. item -fracnumpr-. item fracnumpr. item fracnumpr. item fracnumpr item numpr item numpr item fracnumpr. item fracnumpr. item numpr item fracnumpr. item fracnumpr. item frac numpr. item frac numpr. item frac fracnumpr. item fracfracnumpr. item fracfracnumpr. item fracfracnumpr. item fracfracnumpr. item fracfracnumpr. item fracfracnumpr. item fracfracnumpr. item fracfracnumpr item fracfracnumpr item numpr item numpr item numpr item numpr. item numpr. item numpr item numpr. item numpr- item numpr item numpr item numpr item numpr. item numpr item numpr item numpr item numpr.e item numpr.e item numpr-e item numpr-.e item numpr-.e item numpre item numpre item numpr.e item numpr. item numpre item numpr. item numpr item numpr.e item numpr-.e item numpr.e item numpre item numpr item numpre item numpr item numpre item numpr.e item numpr.e item numpr.e item numpr. item numpre item numpr item numpr. item numpr. item numpr.e item numpr item numpr. item numpr- item numpr-. item numpr. item numpr-. item numpr.e item numpr.e item numpr item numpr-e item numpr.e item numpr. item numpr. item numpr item numpr- item numpr. item numpr item numpr item numpr item numpr. item numpr. item numpr. item numpr. item numpr. item numpr. item numpr item numpr-.e item numpr. item numpr-. item numpr item numpr item numpr item numpr item numpr item numpr item numpr. item numpr. enumerate multicols
Rechne alle folgen Aufgaben im Kopf aus. small multicols enumerate item frac item frac item frac item frac item frac item frac item frac item frac item frac item fracfrac item fracfrac item fracfrac item fracfrac item fracfrac item fracfrac item fracfracfrac item fracfrac-frac item fracfracfrac- item fracfrac-frac- item frac-fracfrac item frac. item frac. item frac. item frac. item frac. item frac. item frac. item frac. item frac. item frac.. item frac.. item frac.. item frac.. item frac.. item frac.. item frac.. item frac.. item frac.. item frac. % item numpre+numpre item numpre+numpre item numpre+numpre item numpre+numpr item numpr+numpr item numpre+numpre item numpre+numpr item numpr-e+numpre item numpr-e+numpre item numpre+numpre % item numpr.e-numpre item numpr.e -numpr item numpr.e -numpr.e item numpre-numpr.e item numpr.e-numpre item numpr.e-numpre item numpr.e -numpre item numpre -numpre item numpre -numpre item numpr-.e -numpre % item ^ ^ item ^ ^ item numpre numpre item numpre numpr item numpre numpre item numpr numpre item numpr numpr item numpre numpre item numpre leftnumpr-eright item numpr-e leftnumpr-eright % item frac^^ item frac^^ item frac^^- item frac^-^- item frac^-^- item fracnumprenumpre item fracnumprenumpr item fracnumprnumpr item fracnumprnumpr item fracnumprnumpre % item fracnumprnumpr.e item fracnumprnumpre item fracnumprnumpr item fracnumprenumpre item fracnumprenumpre item fracnumprnumpr item fracnumprenumpr-e item fracnumpr-enumpre item fracnumpr-numpr- item fracnumprenumpr-e % item leftnumpreright^ item leftnumpr-eright^ item leftnumpreright^ item leftnumpr-eright^ item leftnumpr-eright^ item leftnumprright^ item leftnumpr-right^ item leftnumprright^ item leftnumpr-right^ item leftnumpr-right^ % item ^ item ^ item ^ item numpr^- item numpr^- item numpr^- item leftnumpreright^- item leftnumpreright^- item leftnumpreright^- item leftnumpr-eright^- item leftnumpr-right^- % item leftnumpr-eright^- item leftnumpr-right^- item sqrt item sqrt item sqrt item sqrt item ^frac item ^frac item ^-frac item ^-frac enumerate multicols
Solution:
small multicols enumerate item numpr. item numpr. item numpr. item numpr. item numpr. item numpr. item numpr. item numpr. item numpr. item fracnumpr. item fracnumpr. item fracnumpr. item frac?numpr item fracnumpr item fracnumpr item fracnumpr. item -fracnumpr-. item fracnumpr. item fracnumpr. item fracnumpr item numpr item numpr item fracnumpr. item fracnumpr. item numpr item fracnumpr. item fracnumpr. item frac numpr. item frac numpr. item frac fracnumpr. item fracfracnumpr. item fracfracnumpr. item fracfracnumpr. item fracfracnumpr. item fracfracnumpr. item fracfracnumpr. item fracfracnumpr. item fracfracnumpr item fracfracnumpr item numpr item numpr item numpr item numpr. item numpr. item numpr item numpr. item numpr- item numpr item numpr item numpr item numpr. item numpr item numpr item numpr item numpr.e item numpr.e item numpr-e item numpr-.e item numpr-.e item numpre item numpre item numpr.e item numpr. item numpre item numpr. item numpr item numpr.e item numpr-.e item numpr.e item numpre item numpr item numpre item numpr item numpre item numpr.e item numpr.e item numpr.e item numpr. item numpre item numpr item numpr. item numpr. item numpr.e item numpr item numpr. item numpr- item numpr-. item numpr. item numpr-. item numpr.e item numpr.e item numpr item numpr-e item numpr.e item numpr. item numpr. item numpr item numpr- item numpr. item numpr item numpr item numpr item numpr. item numpr. item numpr. item numpr. item numpr. item numpr. item numpr item numpr-.e item numpr. item numpr-. item numpr item numpr item numpr item numpr item numpr item numpr item numpr. item numpr. enumerate multicols
Meta Information
Exercise:
Rechne alle folgen Aufgaben im Kopf aus. small multicols enumerate item frac item frac item frac item frac item frac item frac item frac item frac item frac item fracfrac item fracfrac item fracfrac item fracfrac item fracfrac item fracfrac item fracfracfrac item fracfrac-frac item fracfracfrac- item fracfrac-frac- item frac-fracfrac item frac. item frac. item frac. item frac. item frac. item frac. item frac. item frac. item frac. item frac.. item frac.. item frac.. item frac.. item frac.. item frac.. item frac.. item frac.. item frac.. item frac. % item numpre+numpre item numpre+numpre item numpre+numpre item numpre+numpr item numpr+numpr item numpre+numpre item numpre+numpr item numpr-e+numpre item numpr-e+numpre item numpre+numpre % item numpr.e-numpre item numpr.e -numpr item numpr.e -numpr.e item numpre-numpr.e item numpr.e-numpre item numpr.e-numpre item numpr.e -numpre item numpre -numpre item numpre -numpre item numpr-.e -numpre % item ^ ^ item ^ ^ item numpre numpre item numpre numpr item numpre numpre item numpr numpre item numpr numpr item numpre numpre item numpre leftnumpr-eright item numpr-e leftnumpr-eright % item frac^^ item frac^^ item frac^^- item frac^-^- item frac^-^- item fracnumprenumpre item fracnumprenumpr item fracnumprnumpr item fracnumprnumpr item fracnumprnumpre % item fracnumprnumpr.e item fracnumprnumpre item fracnumprnumpr item fracnumprenumpre item fracnumprenumpre item fracnumprnumpr item fracnumprenumpr-e item fracnumpr-enumpre item fracnumpr-numpr- item fracnumprenumpr-e % item leftnumpreright^ item leftnumpr-eright^ item leftnumpreright^ item leftnumpr-eright^ item leftnumpr-eright^ item leftnumprright^ item leftnumpr-right^ item leftnumprright^ item leftnumpr-right^ item leftnumpr-right^ % item ^ item ^ item ^ item numpr^- item numpr^- item numpr^- item leftnumpreright^- item leftnumpreright^- item leftnumpreright^- item leftnumpr-eright^- item leftnumpr-right^- % item leftnumpr-eright^- item leftnumpr-right^- item sqrt item sqrt item sqrt item sqrt item ^frac item ^frac item ^-frac item ^-frac enumerate multicols
Solution:
small multicols enumerate item numpr. item numpr. item numpr. item numpr. item numpr. item numpr. item numpr. item numpr. item numpr. item fracnumpr. item fracnumpr. item fracnumpr. item frac?numpr item fracnumpr item fracnumpr item fracnumpr. item -fracnumpr-. item fracnumpr. item fracnumpr. item fracnumpr item numpr item numpr item fracnumpr. item fracnumpr. item numpr item fracnumpr. item fracnumpr. item frac numpr. item frac numpr. item frac fracnumpr. item fracfracnumpr. item fracfracnumpr. item fracfracnumpr. item fracfracnumpr. item fracfracnumpr. item fracfracnumpr. item fracfracnumpr. item fracfracnumpr item fracfracnumpr item numpr item numpr item numpr item numpr. item numpr. item numpr item numpr. item numpr- item numpr item numpr item numpr item numpr. item numpr item numpr item numpr item numpr.e item numpr.e item numpr-e item numpr-.e item numpr-.e item numpre item numpre item numpr.e item numpr. item numpre item numpr. item numpr item numpr.e item numpr-.e item numpr.e item numpre item numpr item numpre item numpr item numpre item numpr.e item numpr.e item numpr.e item numpr. item numpre item numpr item numpr. item numpr. item numpr.e item numpr item numpr. item numpr- item numpr-. item numpr. item numpr-. item numpr.e item numpr.e item numpr item numpr-e item numpr.e item numpr. item numpr. item numpr item numpr- item numpr. item numpr item numpr item numpr item numpr. item numpr. item numpr. item numpr. item numpr. item numpr. item numpr item numpr-.e item numpr. item numpr-. item numpr item numpr item numpr item numpr item numpr item numpr item numpr. item numpr. enumerate multicols
Rechne alle folgen Aufgaben im Kopf aus. small multicols enumerate item frac item frac item frac item frac item frac item frac item frac item frac item frac item fracfrac item fracfrac item fracfrac item fracfrac item fracfrac item fracfrac item fracfracfrac item fracfrac-frac item fracfracfrac- item fracfrac-frac- item frac-fracfrac item frac. item frac. item frac. item frac. item frac. item frac. item frac. item frac. item frac. item frac.. item frac.. item frac.. item frac.. item frac.. item frac.. item frac.. item frac.. item frac.. item frac. % item numpre+numpre item numpre+numpre item numpre+numpre item numpre+numpr item numpr+numpr item numpre+numpre item numpre+numpr item numpr-e+numpre item numpr-e+numpre item numpre+numpre % item numpr.e-numpre item numpr.e -numpr item numpr.e -numpr.e item numpre-numpr.e item numpr.e-numpre item numpr.e-numpre item numpr.e -numpre item numpre -numpre item numpre -numpre item numpr-.e -numpre % item ^ ^ item ^ ^ item numpre numpre item numpre numpr item numpre numpre item numpr numpre item numpr numpr item numpre numpre item numpre leftnumpr-eright item numpr-e leftnumpr-eright % item frac^^ item frac^^ item frac^^- item frac^-^- item frac^-^- item fracnumprenumpre item fracnumprenumpr item fracnumprnumpr item fracnumprnumpr item fracnumprnumpre % item fracnumprnumpr.e item fracnumprnumpre item fracnumprnumpr item fracnumprenumpre item fracnumprenumpre item fracnumprnumpr item fracnumprenumpr-e item fracnumpr-enumpre item fracnumpr-numpr- item fracnumprenumpr-e % item leftnumpreright^ item leftnumpr-eright^ item leftnumpreright^ item leftnumpr-eright^ item leftnumpr-eright^ item leftnumprright^ item leftnumpr-right^ item leftnumprright^ item leftnumpr-right^ item leftnumpr-right^ % item ^ item ^ item ^ item numpr^- item numpr^- item numpr^- item leftnumpreright^- item leftnumpreright^- item leftnumpreright^- item leftnumpr-eright^- item leftnumpr-right^- % item leftnumpr-eright^- item leftnumpr-right^- item sqrt item sqrt item sqrt item sqrt item ^frac item ^frac item ^-frac item ^-frac enumerate multicols
Solution:
small multicols enumerate item numpr. item numpr. item numpr. item numpr. item numpr. item numpr. item numpr. item numpr. item numpr. item fracnumpr. item fracnumpr. item fracnumpr. item frac?numpr item fracnumpr item fracnumpr item fracnumpr. item -fracnumpr-. item fracnumpr. item fracnumpr. item fracnumpr item numpr item numpr item fracnumpr. item fracnumpr. item numpr item fracnumpr. item fracnumpr. item frac numpr. item frac numpr. item frac fracnumpr. item fracfracnumpr. item fracfracnumpr. item fracfracnumpr. item fracfracnumpr. item fracfracnumpr. item fracfracnumpr. item fracfracnumpr. item fracfracnumpr item fracfracnumpr item numpr item numpr item numpr item numpr. item numpr. item numpr item numpr. item numpr- item numpr item numpr item numpr item numpr. item numpr item numpr item numpr item numpr.e item numpr.e item numpr-e item numpr-.e item numpr-.e item numpre item numpre item numpr.e item numpr. item numpre item numpr. item numpr item numpr.e item numpr-.e item numpr.e item numpre item numpr item numpre item numpr item numpre item numpr.e item numpr.e item numpr.e item numpr. item numpre item numpr item numpr. item numpr. item numpr.e item numpr item numpr. item numpr- item numpr-. item numpr. item numpr-. item numpr.e item numpr.e item numpr item numpr-e item numpr.e item numpr. item numpr. item numpr item numpr- item numpr. item numpr item numpr item numpr item numpr. item numpr. item numpr. item numpr. item numpr. item numpr. item numpr item numpr-.e item numpr. item numpr-. item numpr item numpr item numpr item numpr item numpr item numpr item numpr. item numpr. enumerate multicols
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Arithmetik 2 by uz1 | 1