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MathXplosion, Ep 40: Kaprekar's operation

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Smiling man holds paper with number 6174
MathXplosion, Ep 40: Kaprekar's operation

SUBJECTS:  Maths

YEARS:  5–6, 7–8


Did you know that 6,174 is a very mysterious number?

In 1949, the mathematician Dr Kaprekar from India devised a process now known as Kaprekar's operation.

First, choose a four-digit number where the digits are all different.

Then rearrange the digits to get the largest and smallest numbers these digits can make.

Finally, subtract the smallest number from the largest to get a new number, and carry on repeating the operation for each new number.

You always reach 6,174: a constant.


Acknowledgements

Video © GAPC Entertainment.


Date of broadcast: 12 Nov 2018


Copyright

Metadata © Australian Broadcasting Corporation and Education Services Australia Ltd 2012 (except where otherwise indicated). Digital content © Australian Broadcasting Corporation (except where otherwise indicated). Video © Australian Broadcasting Corporation (except where otherwise indicated). All images copyright their respective owners. Text © Australian Broadcasting Corporation and Education Services Australia is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License (CC BY-SA 4.0).

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