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-138 mod 116

 Feb 8, 2017
 #1
avatar+130493 
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This is sometimes confusing........many people think that the answer - at first blush - should be "22"...however.........n mod m refers to the difference beween "n" and the greatest multiple of "m"  that is less than or equal to "n" ......if "n" is multiple of "m"....then.....  n mod m  = 0

 

The greatest multiple of 116 that is  less than or equal to -138 is - 232....and the difference beween  -232 and - 138  is   94....so  -138 mod 116  = 94

 

 

cool cool cool

 Feb 8, 2017
 #2
avatar+26398 
0

-138 mod 116

 

138x(mod116)138+116x(mod116)|116(mod116)=022+116x(mod116)|116(mod116)=094x(mod116)138(mod116)=94(mod116)=94

 

laugh

 Feb 8, 2017

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