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

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angie178 angie178

03-05-2017
Mathematics

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

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LammettHash LammettHash · Answer 1 · 2017-05-03T18:07:45+02:00

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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