3: Addition | Algebra | Basic Mathematics | Tutorial
The video discusses: Integer: Rules of Additions
00:00 - Start
00:35 - Commutativity
01:03 - Associativity
01:51 - Example: x+y = 0
02:46 - Example: x = -(-x)
04:15 - Example: -(x+y) = -x+(-y)
05:07 - Example: x+y = z
05:44 - Example: 2+(1+3) = (2+1)+3
06:34 - Example: -2+(-1-3) = (-2-1)-3
08:29 - Example: (1+2)-(3+4)+(-1-2-3)
10:36 - Example: (x-y)+(y-z)-(x-z)
13:30 - Example: 1+2 = 2+1
14:01 - Example: -1-2 = -2-1
14:30 - Example: x+y = 0
15:10 - Example: x = -(-x); -x = -(-(-x))
15:35 - Ending notes
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Book (optional)
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Lang, Serge (1988). Basic mathematics (Reprint of 1971 original ed.). New York: Springer-Verlag.