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Mathematics 14 Online
OpenStudy (anonymous):

6 - 1 ≡ ? (mod 7)

OpenStudy (anonymous):

6 - 1 ≡ ? (mod 7) ^ ?

OpenStudy (ash2326):

is mod 7 an option?

OpenStudy (anonymous):

well i know how to do mods but what is " ≡ "

OpenStudy (anonymous):

what do i do

OpenStudy (anonymous):

6-1=5

OpenStudy (anonymous):

so is it 2

OpenStudy (ash2326):

5 mod 7=5

OpenStudy (anonymous):

6 - 1 ≡ ? (mod 7) =5

OpenStudy (anonymous):

≡ ?

OpenStudy (ash2326):

if you divide 5 by 7 then the remainder is 5

OpenStudy (anonymous):

o

OpenStudy (anonymous):

so what is this ≡ ?

OpenStudy (ash2326):

equivalent to

OpenStudy (anonymous):

o

OpenStudy (ash2326):

sorry

OpenStudy (anonymous):

thanks a lot

OpenStudy (ash2326):

a ≡ b (mod n) means a − b is divisible by n

OpenStudy (ash2326):

here a =6-1=5 n=7 we need to find a number say b such that a-b is divisible by 7

OpenStudy (anonymous):

o

OpenStudy (ash2326):

huh?

OpenStudy (anonymous):

i understand thanks

OpenStudy (ash2326):

so what's b?

OpenStudy (anonymous):

We have to get that number which when divided by 7 gives 5 as remainder..

OpenStudy (anonymous):

7

OpenStudy (anonymous):

7 divided by 7 gives you remainder 5 ???

OpenStudy (ash2326):

@waterineyes Please see this http://en.wikipedia.org/wiki/Modular_arithmetic

OpenStudy (anonymous):

cool

OpenStudy (ash2326):

@85295james a-b should be divisible by 7 what's b? a=5

OpenStudy (anonymous):

?

OpenStudy (ash2326):

yeah???

OpenStudy (anonymous):

is it 1

OpenStudy (ash2326):

is 5-1=4 divisible by 7?

OpenStudy (anonymous):

is 0 with R4

OpenStudy (ash2326):

no it has to be divisible like 7, 14, 21, 28

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