Propiedades+para+la+suma+de+complejos

== **1)· Conmutativa**  ==

 Dados dos números complejos a + bi y c + di se tiene la igualdad: (a + bi ) + (c + di ) = (c + di ) + (a + bi )  Ejemplo: (2 - 3i ) + (-3 + i ) = (2 - 3) + i (-3 + 1) = -1 - 2i (-3 + i ) + (2 - 3i ) = (-3 + 2) + i (1 - 3) = -1 - 2i **2). Asociativa**  Dados tres complejos a + bi, c + di y e + fi, se cumple:  [(a + bi ) + (c + di )] + (e + fi ) = (a + bi ) + [(c + di ) + (e + fi )]   Ejemplo: <span style="background-color: #ffffff; color: #666666; display: block; font-family: Arial,arial,sans-serif; font-size: 14px; text-align: center;"><span style="color: #000000; display: block; font-family: 'Times New Roman',Times,serif; font-size: 120%; text-align: center;">[(5 + 2i ) + (3 - 4i )] + (-9 + 8i ) = (8 - 2i ) + (-9 + 8i ) = -1 + 6i <span style="background-color: #ffffff; color: #666666; display: block; font-family: Arial,arial,sans-serif; font-size: 14px; text-align: center;"><span style="color: #000000; display: block; font-family: 'Times New Roman',Times,serif; font-size: 120%; text-align: center;">(5 + 2i ) + [(3 - 4i ) + (-9 + 8i )] = (5 + 2i ) + (-6 + 4i ) = -1 + 6i <span style="background-color: #ffffff; color: #000080; display: block; font-family: 'Times New Roman',Times,serif; font-size: 14px; text-align: justify;"><span style="background-color: #ffffff; color: #000080; display: block; font-family: 'Times New Roman',Times,serif; font-size: 150%; text-align: center;">3)· **Elemento neutro** <span style="background-color: #ffffff; color: #404040; display: block; font-family: 'Times New Roman',Times,serif; font-size: 14px; text-align: justify;"> El elemento neutro es 0 + 0i, puesto que  <span style="background-color: #ffffff; color: #666666; display: block; font-family: Arial,arial,sans-serif; font-size: 14px; text-align: center;"><span style="color: #000000; display: block; font-family: 'Times New Roman',Times,serif; font-size: 120%; text-align: center;">(a + bi ) + (0 + 0i ) = (a + 0) + i (b + 0) = a + bi  <span style="background-color: #ffffff; color: #404040; display: block; font-family: 'Times New Roman',Times,serif; font-size: 14px; text-align: justify;"> El número 0 + 0i se escribe simplificadamente 0 y se le llama «cero». <span style="background-color: #ffffff; color: #000080; display: block; font-family: 'Times New Roman',Times,serif; font-size: 14px; text-align: justify;"><span style="background-color: #ffffff; color: #000080; display: block; font-family: 'Times New Roman',Times,serif; font-size: 150%; text-align: center;">**4)· Elemento simétrico** <span style="background-color: #ffffff; color: #404040; display: block; font-family: 'Times New Roman',Times,serif; font-size: 14px; text-align: justify;"> El elemento simétrico de un número complejo cualquiera a + bi es (- a - bi ):  <span style="background-color: #ffffff; color: #666666; display: block; font-family: Arial,arial,sans-serif; font-size: 14px; text-align: center;"><span style="color: #000000; display: block; font-family: 'Times New Roman',Times,serif; font-size: 120%; text-align: center;">(a + bi ) + (-a - bi) = 0 + 0i = 0  <span style="background-color: #ffffff; color: #404040; display: block; font-family: 'Times New Roman',Times,serif; font-size: 14px; text-align: justify;"> Ejemplo: <span style="background-color: #ffffff; color: #666666; display: block; font-family: Arial,arial,sans-serif; font-size: 14px; text-align: center;"><span style="color: #000000; display: block; font-family: 'Times New Roman',Times,serif; font-size: 120%; text-align: center;">El simétrico de 2 - 3i es -2 + 3i pues (2 - 3i ) + (-2 + 3i ) = 0