DESAFÍO
Resuelve todos los retos y completa el desafío.
1
El hombre siempre ha tenido la necesidad de contar, medir, ordenar y representar información mediante códigos numéricos. Para hacerlo, creó lo que conocemos como números naturales (N). Sin embargo, este tipo de números no nos sirven para representar cantidades de determinadas situaciones de la vida cotidiana. Por ejemplo, si hablamos de temperatura y queremos expresar numéricamente una temperatura de 60° C bajo cero en la Antártida, los números naturales no nos sirve; tampoco nos sirven para expresar las pérdidas de un negocio en su balance anual, ni siquiera para expresar el año de nacimiento de grandes matemáticos de la Antigüedad Clásica como Pitágoras o Tales de Mileto. Para dar una respuesta numérica a estas situaciones aparecen los números enteros (Z).
De igual forma desde la Prehistoria y posteriormente en el Antiguo Egipto y Mesopotamia, el hombre ha tenido la necesidad de resolver problemas del tipo: "¿cuántos me caben...?". Más próximo en el tiempo, a veces necesitamos dar respuesta a preguntas del tipo: "¿cada cuánto tiempo coinciden las líneas de autobús A, B y C en la parada U2?" o "Si un frutero tiene 28 piezas de fruta y quiere colocarlas en bolsas con igual número de piezas, ¿de cuantas formas puede hacerlo?", necesitamos utilizar la divisibilidad.
Resuelve los 6 retos que se proponen en este desafío y descubre el nombre de un gran matemático y geómetra griego del siglo III a.C., entre cuyas múltiples aportaciones a las matemáticas, está un procedimiento mediante el cual podemos hallar el máximo común divisor (M.C.D.) de dos números sin tener que factorizarlos. Un dato importante que te ayudará a descubrir su identidad es que se le conoce como "el padre de la Geometría".
IMPORTANTE: si al finalizar los 5 retos propuestos en este desafío, no conoces a este famoso matemático, puedes buscar información en Internet con alguno de los datos biográficos que te facilito en el párrafo anterior. También puedes pasar al reto 6 donde conocerás un poco de la biografía de este importante personaje de la Antigüedad Clásica griega.
Dispones de 25 minutos de tiempo.
¡BUENA SUERTE!
Jaime, María y Raquel van a visitar a su abuela a menudo. Jaime va cada 2 días, María cada 4 y Raquel solo va un día a la semana. Un día que coincidieron los tres, comentaron que nunca habían comido un pastel tan rico como el que hace su abuela. Ella afirmó: “El próximo día que volváis a coincidir, lo vuelvo a hacer”.
- ¿Dentro de cuántos días podrán volver a disfrutar del pastel de la abuela?
IMPORTANTE: Escribe sólo el número que es solución del problema.
María tiene menos de 500 sellos. Si los guarda en un álbum, en páginas de 18, 20 y 24 sellos no le sobra ninguno.
Álbum de sellos
- ¿Cuántos sellos tiene María?
IMPORTANTE: Escribe sólo el número que es solución del problema.
Un comerciante desea poner en cajas 528 manzanas y 1.680 naranjas, de modo que cada caja contenga el mismo número de manzanas o de naranjas y, además, el mayor número posible y sin mezclarlas.
- Halla el número de naranjas y manzanas de cada caja.
IMPORTANTE: Escribe sólo el número que es solución del problema.
En un concurso de televisión cada concursante comienza con 100 €.
Mario ha contestado bien 40 preguntas, ha fallado 8 y ha pasado en otras 2.
- ¿Qué premio ha obtenido Mario en el concurso?
IMPORTANTE: Escribe sólo el número que es solución del problema.
El agua comienza a hervir a 100 °C. Si se pone una cantidad de agua helada a –24 °C.
- ¿Cuántos grados tendrá que subir la temperatura para que comience a hervir?
IMPORTANTE: Escribe sólo el número que es solución del problema.
Si has llegado hasta aquí es porque has resuelto todos los retos del desafío propuesto. ¡Enhorabuena!
Ahora, te invito a que veas el siguiente video con una breve biografía de este gran matemático griego.
En su obra ´´Elementos´´ explicaba en detalle los conceptos de geometría plana, bidimensional y tridimensional, números primos y radicales, al igual que las figuras geométricas como poliedros y esferas.
Esta es la pregunta que debes contestar en este reto: "¿Cuántos grados mide la suma de los tres ángulos de cualquier triángulo?
IMPORTANTE: Escribe sólo el número que es solución del problema.
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Su navegador no es compatible con esta herramienta.