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WI HS4

QuestionAnswer
Het optellen zijn commutatief. ∀a, b ∈ r : a + b = b + a
het vermenigvuldigen zijn commutatief ∀a, b ∈ r : a ? b = b ? a
Het optellen zijn associatief. ∀a, b, c ∈ r : (a + b) + c = a + (b + c) = a + b + c
het vermenigvuldigen zijn associatief. ∀a, b, c ∈ r : (a + b) + c = a + (b + c) = a + b + c
Het optellen hebben een neutraal element. ∀a ∈ r : a + 0 = a = 0 + a
het vermenigvuldigen hebben een neutraal element. ∀a ∈ r : a ? 1 = a = 1 ? a
Elk reëel getal heeft een symmetrisch element voor het optellen ∀a ∈ r : –a ∈ r en a + (–a) = 0 = (–a) + a
Het vermenigvuldigen is distributief ten opzichte van het optellen. ∀a, b, c ∈ r : a ? (b + c) = a ? b + a ? c
Created by: imraan
 

 



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