Completa la tabla teniendo en cuenta las propiedades de la adición de números racionales :
Respuestas a la pregunta
Los valores que completan la Tabla son los siguientes:
• Fila 1.
b = 5/8
– a = 7/12
a = – 7/12
a + b = – 7/12 + 5/8
a + b = (– 56 + 60)/96
a + b = 4/96
a + b = 1/24
a – (– a) = – 7/12 – (7/12)
a – (– a) = – 14/12
a – (– a) = – 7/6
• Fila 2.
b = 6/25
– a = – 11/20
a = 11/20
a + b = 7/12 + 6/25
a + b = (175 + 72)/300
a + b = 247/300
a – (– a) = 7/12 – (– 11/20)
a – (– a) = 7/12 + 11/20
a – (– a) = (140 + 132)/240
a – (– a) = 272/240
a – (– a) = 17/15
• Fila 3.
b = – 23/5
– a = 1/12
a = – 1/12
a + b = – 1/12 – 23/5
a + b = (– 5 – 276)/60
a + b = – 281/60
a – (– a) = – 1/12 – (1/12)
a – (– a) = – 1/12 – 1/12
a – (– a) = – 2/12
a – (– a) = – 1/6
• Fila 4.
b = – 13/6
– a = – 15/8
a = 15/8
a + b = 15/8 – 13/6
a + b = (90 – 104)/48
a + b = – 14/40
a + b = – 7/20
a – (– a) = 15/8 – (– 15/8)
a – (– a) = 15/8 + 15/8
a – (– a) = 30/8
a – (– a) = 15/4