Question

i get how 27 mod is 12 = 1, but how is -27 mod 12 = 9. show your steps please :)

Answer 1

i mean 27 mod 12 = 1

Answer 2

should be 3--- 27mod12 = 3

Answer 3

3 is the remainder from the division of 27/12

Answer 4

works like a clock ... only this time you're going in the opposite direction look at a watch

Answer 5

http://www.wolframalpha.com/input/?i=-27+mod+12

Answer 6

means remainder when you divide -27 by 12 is 9, or
\[-27=9 - 3\times 12\]

Answer 7

\[x\equiv y ( \text{ mod }n)\] means
\[n|(x-9)\] and so
\[12|-27-9=-36\]

Answer 8

thanks satellite!!!!! i get it now! :)