2+5 on Z_3

[primal lily]

2+5 on Z_3

[rich arch]

!status

[mossy iris]

What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above

[primal lily]

7

[mossy iris]

Show your work, and if possible, explain where you are stuck.

[polar pendant]

In $\mathbb{Z}_3$, when you reach $3$ by counting up we say that it is equivalent to $0$

That is $3 \equiv 0 \pmod{3}$

[terse fossil]

flynger

[polar pendant]

so informally, you can go 0, 1, 2, 3 (0), 4 (1), 5 (2), 6(0), ...

If you notice, that is the remainder when dividing by 3