Age 16 to 18 Challenge Level:
In modulus arithmetic the only numbers involved are the whole
numbers 0 to $m-1$ where $m$ is the modulus (or if you prefer it 1
to $m$). The multiplicative inverse of 7 (mod 26) is the number
(equivalent to 1/7) that 7 is multiplied by to get the answer 1.
The additive inverse of 17 is the number you add to 17 to get the
answer 0 (mod 26).