I dont understand the 12 hr clock system as a gommunative group. can anyone help me? There also other groups (closure,associative,idenity,invers and communative property)
Stacey Warren - Expert brainly.com
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commutative means to travel, to commute from one place to another;
groups are commutative if you can switch them around and still retain the same value, for example:
-5 + 8 = 3
8 - 5 = 3 ...... addition is commutative.
lets try multiplication:
4(-9) = -36
-9(4) = -36 ....... muliplication is ALSO commutative
we can switch the position of the numbers and still retain the value.
what about division?
12/4 = 3
4/12 = 1/3 ...division is not commutative :)
(4/2)/2 = 2/2 = 1
4/(2/2) = 4/1 = 4 ...division is NOT associative
identity is like looking in the mirror... you see your own reflection.
the additive identity is "0"
4+0 = 4; -2+0 = -2; (3/4) - 0 = (3/4)
the multiplicative identity is "1"
2(1) = 2 ; 2365(1) = 2365 ; (3/5)(1) = (3/5)
an inverse is the reverse of the identity.......
a * a^-1 = 1
a +(-a) = 0
the additive inverse is the opposite of the number/object. so that adding them together =0
the muliplication inverse is the reciprocal of a number.
4(1/4) = 1
closure? got no idea on that one ;)
youre welcome... i hope it helped out :)
I would say that the clock system is commutative because it doesnt matter how you add the hours together, you get the same results..... but I am not up to date on "group" theory