How would i find 0.5 in (mod 7)? - i don't want the answer, but a few hints on how i would do it.

 

All i know about mod is that in programming, it gives the remainder when a number is divided by another number, but from what i've been reading, i think that it has a different meaning in this context.

 

From what i've been reading on the internet, it seems that in (mod 7), numbers would go 0, 1, 2, 3, 4, 5, 6, 7 and then start again - is that right? Would that mean that 0.5 in (mod 7) would still be 0.5 since it is between 0 and 7?

it should be of this form a=b(mod c) (which is like this (a-b)/c) you should point from what you reduct.

From what I know of modulo arithmetic 0.5 mod 7 would not be defined. We have only had mod defined on the integers. If I had to make a wild guess to extend it to reals I would presume 0.5 mod 7 is still 0.5 .