Difficult: This section was a little easier because modular addition and multiplication are so similar to standard addition and multiplication. But one question for verification: Can you only perform modular arithmetic with congruence classes in the same mod n?
Reflective: It's nice that the first 10 properties of standard addition and multiplication apply to modular addition and multiplication and it's kind of cool that 3 x 4 = 0 in some cases.
Saturday, January 10, 2009
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You can only do arithmetic with classes with the same modulus; adding 2 (mod 5) and 3 (mod 4) wouldn't work too well.
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