SOLUTION: (−414×−916)mod12=Y I attempted to find the value within the brackets, -414 x -916 = 379224 I then divided this by 12 which gave me 31602 exactly with no remainde

Algebra ->  College  -> Linear Algebra -> SOLUTION: (−414×−916)mod12=Y I attempted to find the value within the brackets, -414 x -916 = 379224 I then divided this by 12 which gave me 31602 exactly with no remainde      Log On


   



Question 1116249: (−414×−916)mod12=Y
I attempted to find the value within the brackets, -414 x -916 = 379224
I then divided this by 12 which gave me 31602 exactly with no remainder. I then assumed that this meant that the answer was 0.
The answers given are


0

(6+8)mod12

48 mod 12

14 mod 12
However, the answer was identified as being 14 mod 12.
Can you please explain why this is the case


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I attempted to find the value within the brackets, -414 x -916 = 379224
I then divided this by 12 which gave me 31602 exactly with no remainder. I then assumed that this meant that the answer was 0.
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It is zero.
PS Use * (Shift 8) for multiply.
-414 * -916 = 379224