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# Modulo n watch

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1. Hi, See the attachment. I dont understand how they get from = 6 mod 5 to
= 1 mod 5

Thanks
Attached Images
2. 1b.PDF (80.8 KB, 97 views)
3. when u are speaking mod 5 then ALL the integers are reduced in the following 5 integers

0, 1, 2, 3, 4

...-25=-20=-15=-10=-5=0 = 5= 10=15=20 = 25 = ... when we are speaking mod 5

...-24=-19=-14=-9=-4=1 = 6 = 11 = 16= 21=... when we are speaking mod 5

so as I've said ALL the integers are reduced into 5 groups and all the items in each group are interchangable and one can be substitutes with any other in that group.
4. 1 = 1 mod5
2 = 2 mod5
3 = 3 mod5
4 = 4 mod5
5 = 0 mod5
6 = 1 mod5

a = b mod5
Iff a-b=5*k or b-a=5*k where k is an integer.
in other words a-b or b-a is a multiple of 5.
5. 6mod5=(5+1)mod5=5mod5+1mod5

=>6mod5=1mod5

Newton.
6. lol that's what I like about congurences. There are a million different ways to think of them.
7. (Original post by Newton)
6mod5=(5+1)mod5=5mod5+1mod5

=>6mod5=1mod5

Newton.
cheers
8. does anyone have edexcel as their exam board in maths??
9. (Original post by scottalota)
does anyone have edexcel as their exam board in maths??
Probably most contributors to this forum - but if you have a question, start it as a new thread!

Aitch

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