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Number Theory How best to teach the division algorithm?

matqkks

Member
Jun 26, 2012
74
What is the best way to introduce the division algorithm? Are there real life examples of an application of this algorithm. At present I state and prove the division algorithm and then do some numerical examples but most of the students find this approach pretty dry and boring. I would like to bring this topic to live but how?
 

Klaas van Aarsen

MHB Seeker
Staff member
Mar 5, 2012
8,774
What is the best way to introduce the division algorithm? Are there real life examples of an application of this algorithm. At present I state and prove the division algorithm and then do some numerical examples but most of the students find this approach pretty dry and boring. I would like to bring this topic to live but how?
Let's organize a party for 31 people (adjust the numbers to the desired difficulty level).
We have a supply of 18 liters of punch and we can get 5 drinks out of each liter.
How many drinks can we fairly serve each person?