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I don't exactly know what "the principle of ten" is, but by the way Ehara-san explained it, the numbers are not a way of measurement. I mean not as in 1 less than 9 type deal.
In order to get to 10, 1 is a compliment of 9, and 9 is a compliment of 1, and so on:
_________
1&9 | 9&1
2&8 | 8&2
3&7 | 7&3
4&6 | 6&4
5&5 | 5&5
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Remember trigonometry? Complimentary angles and supplementary angles.
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