I know it would be something like A-B "Is not equal to" B-A .
But I'm intrested if the law states anything for Subtraction and Division at all or is it just made for Multiplication and Addition and has no reference to Subtraction and Division?
2007-02-05 02:08:14 · 4 answers · asked by jack 6 in Science & Mathematics ➔ Mathematics
There* by the way sorry...
2007-02-05 02:13:55 · update #1
There* by the way sorry...
2007-02-05 02:13:56 · update #2
Only addition and multiplication and their properties (commutativity, associativity, distributivity, identity, inverses) are set out. There are no axioms about subtraction and division.
Subtraction is just a notation shortcut to represent what is really the addition of the inverse. What we call "A - B" is really "A + (-B)", adding the additive inverse of B to A. Commutativity applies for addition, so A - B = A + (-B) = (-B) + A. That this is not equal to B - A *does not need to be stated as an axiom, as it is easy to deduce.
Ditto for division. What we call "x / y" is really "x * (1/y)", that is x multiplied by the multoplicative inverse of y.
* except when A=B, of course.
2007-02-05 02:18:05 · answer #1 · answered by Anonymous · 2⤊ 0⤋
Commutative Law
2016-11-04 21:56:42 · answer #2 · answered by ? 4 · 0⤊ 0⤋
Subtracting a and b means addind a and -b, and divinding a by b, provided b<>0, means multiplying a by 1/b. Thos laws are for addition and multiplication. In general, a-b <> b -a and a/b <> b/a.
2007-02-05 02:19:17 · answer #3 · answered by Steiner 7 · 0⤊ 0⤋
For all real numbers A and B subtraction in real numbers is noncommutative, Since B-A <> A-B (with the exception that A=B)
Even if you tried something like A-B is not equal to B-A you will still have the exception that A=B and hence will make the rule invalid.
2007-02-05 02:15:16 · answer #4 · answered by Renesis 2 · 0⤊ 0⤋