How do you solve Modulo 7?

Think of the calendar. When 7 days go by, we are

on the same day. Another way to think of the

modulo 7 system is to picture a 7 hour clock.

What happens when we multiply 2*4?

Well, we go from 0 to 4 and then from 4 to 1.

So 2*4 = 1 in this system.

Third way to think of it: Cast out 7's. Every time

you go past a multiple of 7 just divide by 7 and

keep the remainder.

So here's the part of the table for multiplying by 2:

0, 2, 4, 6, 1, 3, 5.

Can you complete the table from here?

Let me give you the row for multiplying by 3

to help you out. You carry on from here!

0,3, 6, 2, 5, 1, 4.

Reciprocals: 0 has no reciprocal.

The others are

1, 4, 5, 2, 3, 6.

Notice that each nonzero number has a unique

reciprocal.

Hope that helps a bit!