El tiempo

En este post nos referimos a la forma como medimos el tiempo, en horas, minutos y segundos, como se realizan las operaciones básicas entre ellos:


Lo primero que hay que exponer es:

1 hora = 60 minutos

1 minuto= 60 segundos

Ejemplo:

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

De acuerdo a lo que se había dicho tenemos que

130= 120+10=2(60) +10

Tenemos entonces que 130seg = 2 minutos y 10 segundos.

De la misma manera se hacen las sumas con los minutos:

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

60 +29= 89

1 hora + 29 minutos


Generalmente se hacen algunas aproximaciones, y se utiliza que:

24 horas = 1 día

365 días = 1 año

Y un año son 365.2422 días
De manera practica estas aproximaciones nos sirven para responder preguntas del tipo
¿Cuántos segundos hay en un año?
¿Cuántos días son 23 años? 

Para la primera pregunta hay que hacer las siguientes operaciones:

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

Como podemos ver los años, días, horas y minutos se cancelan y solo quedan los segundos, esto se debe a que todos los cocientes son 1, a estos se les llama factor unitario


Debe ser claro entonces que para la segunda pregunta, se tiene que:

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