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9

The Joy of 9

Lecture no. 9 from the course: The Joy of Mathematics

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Taught by Professor Arthur T. Benjamin | 32 min | Categories: Mathematics

Adding the digits of a multiple of 9 always gives a multiple of 9. For example: 9 x 4 = 36, and 3 + 6 = 9. In modular arithmetic, this property allows checking answers by "casting out nines." A related trick: mentally computing the day of the week for any date in history.

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