2.1. Cifras y letras

Poniendo orden

Lo natural...

Personaje con un cartel que contiene números naturales Recuerda que el conjunto de los números naturales está formado por todos los números que se utilizan para contar, incluyendo el cero:

ℕ= {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10... }

Como sabes, se cuenta de 10 en 10 (sistema decimal).

Se utilizan las cifras del 0 al 9 y, a partir del 9, cada cifra se va combinando con otras para formar los números.

La posición de una cifra indica su valor (sistema posicional).

Por ejemplo, 301 es una cantidad diferente de 310.

En 301 el 1 representa una unidad, mientras que, en 310 el 1 representa una decena.

Lee

Para leer un número natural, fíjate en sus cifras: se leen de izquierda a derecha.

Lectura de números naturales
CM	DM	UM	C	D	U	Se lee
					3	Tres
				6	3	Sesenta y tres
			5	6	3	Quinientos sesenta y tres
		8	5	6	3	Ocho mil quinientos sesenta y tres
	9	8	5	6	3	Noventa y ocho mil quinientos sesenta y tres
4	9	8	5	6	3	Cuatrocientos noventa y ocho mil quinientos sesenta y tres

Las cifras se agrupan de tres en tres, poniendo un espacio o un punto para separarlas.

Ejemplo: 98.563 se puede poner como 98 563

En este curso utilizarás el punto para separarlas.

Ordena

Los números naturales, igual que los libros, se pueden ordenar.

Un método es colocarlos en la recta numérica, según su valor, cuanto más a la derecha esté un número, mayor será.

Documento: Recta numérica de números naturales I

Para indicar que un número está antes que otro se utiliza el símbolo "<"

Por ejemplo: 654.000 < 654.001

Compara

Para comparar dos números naturales se miran sus cifras. El que tenga más cifras es el mayor.

Si tienen la misma cantidad de cifras se comparan de forma ordenada, de izquierda a derecha (igual que al leerlos).

Se hace así para seguir su orden de magnitud empezando por la de mayor valor:

Si tienen cinco cifras, comparamos primero las decenas de millar (CM): el número que tenga esa cifra más grande será el mayor.
Si la cifra de las centenas de millar (CM) es igual, comparamos las decenas de millar (DM): será mayor el número con esta cifra más grande.
Y así sucesivamente hasta que tener todos los números ordenados.

Ejemplo: compara 35.429 y 85.429

Es mayor 85.429 porque su primera cifra, el 8 es mayor que la primera de 35.429.

35.429 < 85.429 o también puedes escribirlo en sentido inverso 85.429 > 35.429

" Treinta y cinco mil cuatrocientos veintinueve" es menor que "ochenta y cinco mil cuatrocientos veintinueve".

"Ochenta y cinco mil cuatrocientos veintinueve" es mayor que " treinta y cinco mil cuatrocientos veintinueve"

Descompón

Ya has visto que el valor de un número lo dan las cifras que lo forman y el lugar que ocupan: unidades, decenas, centenas, unidades de millar...

Ejemplo:

215 está formado por dos centenas, una decena y cinco unidades, es decir:

200 + 10 + 5
De otra forma: 2 C + 1 D + 5

También puedes escribirlo como:

215 = 200 + 10 + 5 = 2 · 100 + 1 · 10 + 5

Esta forma de escribirlo, con sumas y multiplicaciones, se llama descomposición polinómica.

Cifras y letras

En la tabla puedes ver las cantidades de libros que hay en la biblioteca de distintas ciudades expresadas en forma numérica.

Debes escribirlas como texto.

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634.920	@@seiscientos treinta y cuatro mil novecientos veinte@@
997.901	@@novecientos noventa y siete mil novecientos uno@@
39.103	@@treinta y nueve mil ciento tres@@
245.045	@@doscientos cuarenta y cinco mil cuarenta y cinco@@
1.100	@@mil cien@@
390.009	@@trescientos noventa mil nueve@@

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Letras y cifras

En la tabla puedes ver las cantidades de libros que hay en la biblioteca de distintas ciudades expresadas en forma de texto.

Debes escribirlas con cifras. Recuerda colocar el punto para separar las centenas de millar de las unidades de millar.

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Doscientos cuarenta y siete mil seiscientos cuarenta y cinco	@@247.645@@
Cuarenta mil novecientos setenta y cuatro	@@40.974@@
Ochocientos treinta y un mil doscientos quince	@@831.215@@
Noventa mil treinta	@@90.030@@
Cuatro cientos cuatro mil ciento doce	@@404.112@@
Cuatro mil cuatrocientos quince	@@4.415@@

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Quien tiene más

La persona encargada de la biblioteca quiere saber qué estantería contiene más ejemplares de libros, si los de cuentos infantiles o los de ciencias de la naturaleza.

Ayúdale ordenando de mayor a menor.

Haz clic con el ratón sobre las flechas (⇑ o ⇓) de la derecha de cada número.

822.721 libros
234.200 libros
165.489 libros
123.973 libros
42.368 libros
28.321 libros
9.639 libros
285 libros

Ordena y vencerás

Escribe en la línea siguiente estos números ordenados de menor a mayor:

534.245
543.245
245.354
453.254

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@@245.354@@ < @@453.254@@ < @@534.245@@ < @@543.245@@

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