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# Modula question? watch

1. I have a maths question which I am having a bit of trouble with, so any help would be great.

Consider relation defined on Z. where x is related to y only when.. x=y(mod10).

I have been asked to draw a diagram to show how Z is partitioned by this relation.

But im not sure how to do it.

2. I'd probably write a load of rows of 10 consecutive integers with some vertical dots coming off at the top and bottom of it and then say that the columns are related.
3. Thanks nuodai, but im still not 100% with this. The next part of the question asks: In which parts partition will you find prime numbers?

What kind of diagram do you think i would need to draw, would a ferrer diagram be correct?
4. Well what digits can a prime end in? What digits can't a prime end in? If you draw the diagram like I said above then, again, each column corresponds to an equivalence class. [Be careful though, since going up one of the columns you'll get like ..., 28, 18, 8, -2, -12, -22, ...]

I'm not familiar with Ferrer diagrams so I can't really help you there.

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