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What is the smallest positive multiple of 450 whose digits are all zeroes and ones?

 Oct 1, 2024
 #1
avatar+1085 
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What is the smallest positive multiple of 450 whose digits are all zeroes and ones?     

 

I'm not sure of the exact meaning of the question, but I'll go out on a limb and say 10.    

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 Oct 1, 2024
 #2
avatar+479 
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The smallest positive multiple that works is 1110010

 Oct 2, 2024
 #3
avatar+1085 
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If you multiply the 450 by 1/45, you get 10.  Does that work?    

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 Oct 2, 2024

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