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[Grade 8: Algebra] Feel kinda bad about this, but oh well.
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I have a couple questions I need help with, but one I really need help with.
Most important is "Take any 4-digit multiple of 11. Is it true that a circular shift (moving the digits to the right/left) of a 4-digit multiple of 11 is also a multiple of 11?" Another I'm working on is "Prove if 7|2a 10b c, then 7|100a 10b c", but I have an idea of where to get started (98a) Even less important but (and I need to do this by proof by contradiction) prove there exists no integers a and b for which 21a 30b=1
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