angie178
angie178 angie178
  • 03-05-2017
  • Mathematics
contestada

How can I show that a * b = a+b+ab/100 is commutative?

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LammettHash
LammettHash LammettHash
  • 03-05-2017
* is commutative if a*b = b*a.

[tex]b*a=b+a+\dfrac{ba}{100}=a+b+\dfrac{ab}{100}=a*b[/tex]

so the operation must be commutative because the component operations (addition and multiplication) are commutative.
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