Archivo de mayo, 2009


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Fracciones y decimales – Repaso

Ejercicios de repaso con fracciones y decimales.

Repaso con Fracciones

Repaso con Decimales

Respuesta de Mauro Valmagia 2° 2°

b) – 1/3 – 5/6 = ///

– 2/6 – 5/6 = – 7/6

g) 1/3 – (- 2/5) = ///
5/15 – ( – 6/15) =
5/15 + 6/15 = 11/15

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Cuadrados que terminan en 5

Observen como se calcula el cuadrado de un número de dos cifras terminado en 5.

Para calcular 352:

Se multiplica la cifra de las decenas por su siguiente.

Al resultado anterior se le añade 25 a la derecha.

3.4 = 12   entonces 352 = 1225

Otro ejemplo 652:

6.7 = 42 entonces 652 = 4225

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Multiplicación de binomios

(a + b) . (x + y) =

= a . (x + y) + b . (x + y )

= ax + ay + bx + by

(a + b) . (a – b) =

= a . (a – b) + b . (a – b)

= aa – ab + ba – bb

= a2ab + ab – b2

= a2 – b2

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Cuadrado de un binomio

Vamos a analizar los casos más sencillos de cuadrados de un binomio, por ejemplo:

(a + b)2 =

Por definición de cuadrado.

= (a + b) . (a + b)

Por propiedad distributiva.

= a . (a + b)  + b . (a + b)

Por propiedad distributiva.

= aa + ab + ba + bb

Por definición de cuadrado y propiedad conmutativa.

= a2 + ab + ab + b2

Por suma de expresiones algebraicas semejantes.

= a2 + 2ab + b2

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funcion1sobrex

Análisis de la función 1/x

Analicen la función

$lates f(x) = \displaystyle \frac{1}{x}$

Dominio:

Imagen:

Raíces:

Ordenada al origen:

Crecimiento:

Decrecimiento:

Positividad:

Negatividad:

Máximo:

Mínimo:

Límite x –-> +∞ =

Límite x –-> – ∞ =

Límite x –-> 0 Derecha:

Límite x –-> 0 Izquierda:

 

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Frases de matemática

“La matemática es el martillo que quiebra el hielo de nuestro inconsciente”

Doctor Francis O. Googol

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El conjunto Q

Ejercicios del libro “Pitágoras 8″

1) Ubiquen en la recta numérica:

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Suma y resta de fracciones

2) Resuelvan las siguientes sumas y expresen el resultado como fracción irreducible.

a)

b)

c)

d)

e)

Respuesta de Anabel Wiens 2° 2°

2)

a)-3/4+(-5/12)+2/5 =
-3/4-5/12+2/5=
(-45-25+24)/60=-70/60+24/60=23/30

b)-8/7+3/14=
(-16+3)/14=-13/14

c)1/2+(-5/6)+8/3=
1/2-5/6+8/3=
(3-5+16)/6=-2/6+16/6=7/3

d)3/8+2/5=
(15+16)/40=31/40

e)-4/9+3= 23/9

3) Hagan las siguientes restas y expresen el resultado como fracción irreducible.

a)

b)

c)

d)

e)

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¿Por qué Q?

La palabra racional deriva de razón, que significa cociente. El símbolo Q surge de la letra inicial de la palabra inglesa Quotient, que también significa cociente.

Número racional (Wikipedia)

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