Recta_Numerica

LOS NÚMEROS ENTEROS (Z)

Los números Naturales (N) se utilizan básicamente para contar y expresar cantidades enteras positivas. Pero, no son suficientes para expresar, por ejemplo, una deuda, ubicación de ciertos animales o plantas por debajo del nivel del mar; por esto fue necesario recurrir a los números negativos.

Los números Naturales, el cero y los números negativos, constituyen lo que se llama el conjunto de los números Enteros, el cual se simboliza con la letra (Z).

Z= {...-4, -3, -2, -1, 0, 1, 2, 3, 4...}

LA RECTA NUMÉRICA

La recta numérica nos permite representar el conjunto de los números Enteros sobre ella, determinando el punto de referencia, cero (0), y ubicando a la derecha puntos a igual distancia que corresponden a los enteros positivos y a la izquierda puntos que corresponden a los enteros negativos.

Recta numerica

Ahora, no siempre será necesario que la recta esté dividida de la unidad, (Escala=1) como en la imagen anterior, es decir, depende de la situación problema que se esté afrontando la recta se puede dividir a criterio personal por ejemplo de 5 unidades (escala=5), de 20 unidades (escala=20), de 100 unidades (escala=100), etc. Esto es, lo que podemos llamar la escala de la recta numérica.

Rectas

Por tanto los números Enteros quedan ubicados en la recta numérica de menor a mayor, así por ejemplo:

-4 < -3 < -2 < -1 < 0 < 1 < 2 < 3 < 4...

De esta manera se puede concluir que:

Un número negativo siempre será menor que cualquier positivo, incluyendo el cero.
Un número positivo, siempre será mayor que cualquier negativo.
El cero, es menor que cualquier positivo y mayor que cualquier negativo.
Todo número entero tiene su opuesto, 2 y -2, 5 y -5, 18 y -18, etc. El cero no tiene opuesto, es neutro.

EJEMPLOS:

Ubicando Unidades

Ubicar sobre una recta numérica las siguientes cantidades: 5, 3, -1, -6, -4, 2, 7.

Escala Ideal: 1

Recta numerica

Ubicando Decenas

Ubicar sobre una recta numérica las siguientes cantidades: 15, -25, 30, -17, -11, 22, 44.

Escala Ideal: 5

Recta numerica

Ubicando Centenas

Ubicar sobre una recta numérica las siguientes cantidades: 320, -110, -150, 200, 245, 440, -530, -228, -420

Escala Ideal: 100

Recta

Lo que sí es importante, es que las distancias entre un entero y el siguiente se mantengan iguales a lo largo de toda la recta.

UBICANDO DECENAS Y CENTENAS

You Tube. Como ubicar Enteros

Ordena las Tarjetas

Arrastra cada carta según lo que se indique en su imagen y ordénalas según el criterio que te digan.

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0 1 2 3 4 5 6 0 1 2 3 4 5 6 0 1 2 3 4 5 6

Su navegador no es compatible con esta herramienta.

¿Muy caliente o muy frío?

Marte, Venus y Mercurio, son los planetas más parecidos a la Tierra en sus condiciones atmosféricas.

La tabla muestra la temperatura promedio que se registra en cada planeta.

PLANETA	TEMPERATURA PROMEDIO (°C)
Marte de día	22
Marte de noche	-70
Tierra	10
Venus	482
Mercurio de día	427
Mercurio de noche	-184

Fuente: Matemáticas 7 - McGrawHill

Si fuésemos a ubicar estos planetas en una recta numérica vertical

¿Cómo quedaría dicha recta?

Venus
Mercurio de día
Marte de día
Tierra
Marte de noche
Mercurio de noche

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