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One problem with subtraction is that is non-commutative, which excludes the operation from being considered in an abelian group. One way to circumvent this is to view all subtraction operations as additions of the negative. For example, 5 - 1 = 4 can not be commuted, as 1 - 5 = -4. However, if this equation is viewed a negative addition, i.e. 5 + (-1) = 4, it maintains commutativity, since (-1) + 5 = 4.
 
One problem with subtraction is that is non-commutative, which excludes the operation from being considered in an abelian group. One way to circumvent this is to view all subtraction operations as additions of the negative. For example, 5 - 1 = 4 can not be commuted, as 1 - 5 = -4. However, if this equation is viewed a negative addition, i.e. 5 + (-1) = 4, it maintains commutativity, since (-1) + 5 = 4.
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[[Category:Mathematics]]
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[[Category:Arithmetic]]
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