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6174 Every Time?




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"math tricks"
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Homework Help
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Kitchen Table Classroom.

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Pick 4 different numerals from 0 - 9 and arrange them to make the largest possible number.
for example: 8732

Now arrange the same numerals to make the smallest possible number.
2378

Subtract the smaller number from the larger.
8732-2378=6354

Arrange the numerals in the answer to make the largest and smallest possible numbers, and subtract those numbers.
6543-3456=3087

Continue with this process until you end up with 6174.
8730-378=8352
8532-2358=6174!


Does it always work? Try 4 new numerals and see if you can end at 6174 every time!


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