Question

If I know a remainder, can I use modular arithmetic to find the original amount??

Answer 1

not quite

Answer 2

there exists a many to one correspondance; therefore it is not a function

Answer 3

How do I use mod arithmetic

Answer 4

N = am + R

Answer 5

or i like to just write out the remainders in a row, say we are looking for mod4, the possible remainders are:

0 1 2 3
then you can continue the count filling each row

0 1 2 3
4 5 6 7
8 9 10 11
12 13 14 15

each column contains all the "congruent" mod4s

Answer 6

if all we know is the top row; how do we define a unique value from the column?