00:01
Okay, so in this question we want to find the addition and multiplication tables mod 6 so yeah one, 0 plus 0 plus 0 gives you 0, 0 plus 2 gives you 2, 0 plus 3 gives you a 3, 0 plus 4 gives you 4, 0 plus 5 gives you 5 now in this multiplication table this column will equal to this column, this column will equal to this column, this column will equal to this column and so on so i could just copy it so we 1, 2, 3, 4, 5 now 1 plus 1 gives you 2, 1 plus 2 gives you 3, 1 plus 2 gives you 4, 1 plus 4 gives you 5.
00:35
Now 1 plus 5 gives you 6 but then you have to take 1 of that.
00:39
So that's 0 .0.
00:42
Now 1 plus 2, so we'll copy it here, 3, 4, 5 and 0.
00:48
Now 2 plus 2 gives you 4, 2 plus 3 gives you 5, 2 plus 4 gives you 6, 1, 1 gives you 0.
00:55
And finally 2 plus 5 gives you 7, 1, 6 gives you 1.
00:58
So 4, 5, 0, 3 plus 3 gives you 6, mod 6 gives you 0.
01:04
3 plus 4 gives you 7, mod 6 gives you 1, 3 plus 5 gives you 8, mod 6 gives you 2.
01:10
So this is 1 and 2.
01:12
4 plus 4 gives you 8, mod 6 gives you 2.
01:15
4 plus 5 gives you 9, mod 6 gives you 3.
01:18
So this is 3, 5 plus 5 is 10, mod 6 gives you 4.
01:24
Now your multiplication tables.
01:26
So anything times 0 gives you 0 and anything times 1 gives you the same number.
01:30
So then just be 0, 0 ,000, 0, 0, 0, 0 and 0, 0, 0, 0, 0 0, 0, 0, just 1, 2, 4, 5, 1, 2, 2, 4 and 5.
01:47
Oh, no, 2, 3, 4, and 5.
01:53
Now 2 times 2 gives you 4, 2 times 2 gives you 6, 1 6 gives you 0, 2 times 4 gives you 8, mod 6 gives you 2, 20, 2 times 4 gives you 8, 6 gives you 2, 2...