Categorías: Todo - suma - multiplicación - racionales - igualdad

por Mayerly Morocho hace 3 años

191

Números Racionales ℚ

Los números racionales son esenciales en matemáticas y se definen como fracciones de números enteros. Existen varios axiomas que rigen su comportamiento, como los de adición, que incluyen propiedades conmutativas, asociativas, invertivas y de clausura.

Números Racionales ℚ

Números Racionales ℚ

To name your story, you have to think about the overall message and what you want your audience to understand from the story. Also, make it relevant and easy to remember.

AXIOMAS

The ending of a story is essential. We all know that if the ending is weak, what happened before loses its importance. So make it unpredictable, but fair. A resolved ending answers all the questions and ties up any loose threads from the plot.

ADICIÓN

This is the closure section of the story.
See examples of possible outcomes below:

Invertivo

𝑈=𝑄.∀𝑎,∃−𝑎: 𝑎+(−𝑎)=𝑎;𝑎≠0

Modulativo

𝑈=𝑄.∀𝑎,𝑆0 𝑎+0=0+𝑎=𝑎

Asociativo

Try answering these questions in order for you to come up with a closure:
- Have all problems been solved?
- Is it clear what happens with all your characters in the story?
- Has the challenged transformed your main character?
- How do the characters feel in the end?

𝑈=𝑄.∀𝑎,∀𝑏,∀𝑐: (𝑎+𝑏)+𝑐=𝑎+(𝑏+𝑐)

Conmutativo

𝑈=𝑄. ∀𝑎,∀𝑏:𝑎+𝑏=𝑏+𝑎

Clausurativo

Try answering these questions to come up with a closure:
- Have all the problems been solved?
- Is there a clear picture of what happens with each character in the story?
- Has the challenge transformed your main character?
- How do the characters feel in the end?

𝑈=𝑄.∀𝑎,∀𝑏,∀𝑐: 𝑎+𝑏=𝑐;𝑐∈𝑄

IGUALDAD

This is the moment when the main character surpasses the last obstacle and finally faces their greatest challenge.
The climax usually follows one of these patterns:


Type in your answer.

Multiplicativo

∪=ℚ;∀𝑎,∀𝑏,∀𝑐; 𝑎=𝑏∧𝑐=𝑐⇒𝑎.𝑐>𝑏.𝑐 ejm:4+2=6∧ 1/7=1/7⟶6/7=6/7

Adición

∪=ℚ;∀𝑎,∀𝑏,∀𝑐; 𝑎=𝑏∧𝑐=𝑐⇒𝑎+𝑐>𝑏+𝑐 ejm:3+5=8 y 3/2=3/2⟶19/2=19/2

Transitivo

∪=ℚ;∀𝑎,∀𝑏,∀𝑐; 𝑎=𝑏∧𝑏=𝑐⇒𝑎=𝑐 ejm:3/6=1/2 y 1/2=5/10⟶3/6=5/10

Simétrico

∪=ℚ;∀𝑎,∀𝑏; 𝑎=𝑏⇔𝑏=𝑎 ejm:2/3=4/6⟷4/6<2/3

Reflexivo

∪=ℚ;∀𝑎; 𝑎=𝑎 ejm:5/2=5/2

Dicotomía

∪=ℚ;∀𝑎,∀𝑏; 𝑎=𝑏∨𝑎≠𝑏 ejm:1/3=3/6

LEY DE SIGNOS

(+𝒂)(+𝒃)=(+𝒄) (+𝒂)(−𝒃)=(−𝒄) (−𝒂)(+𝒃)=(−𝒄) (−𝒂)(−𝒃)=(+𝒄)

MULTIPLICACIÓN

Mixtos
3×2/7×6/5=3/1×2/7×6/5=36/35
Enteros con fracciones
3×2/5=3/1×2/5=3×2/5=6/5
Fracciones
2/3×5/2=2×5/3×2=10/6
Enteros
(-2 ).(-6)=12

SIMPLIFICACIÓN DE FRACCIONES

The middle of the story is where you add layers of complications that will lead to the end. Reveal more about the character's journey. Did their personality go through changes? How did they overcome the challenges? And as you build up the story’s central conflict, make it more personal to that character. Also, from the middle act, you have to lead into the final act.

Expreciones decimales de números racionales -Parte entera y decimal separadas por una coma
Tipos de Números decimales

N. Decimal Infinito Periódico Mixto

Infinitas cifras decimales, a partir de la coma se repiten y otras no ejm:7/18=0,388=0,38̂

N. Decimal Infinito Periódico Puro

Infinitas cifras decimales, a partir de la coma se repiten ejm:10/3=0.3333=0,3̂

N. Decimal Exacto

Cifras decimales finitas ejm: 1/4=0,25

Número Entero

Es división exacta 20/4=5

-Convertir la fracción en otra igual a la primera -Para simplificar se divide el numerador para el denominador por su m.c.d

There wouldn't be any tension and excitement in your story if there weren't any obstacles in your character's way.

- a/b-->"a" y "b" son enteros, "b" diferente de cero - Son subconjunto los números enteros y naturales. -VALOR ABSOLUTO:I±𝑎I=+𝑎

RACIONALES NO ENTEROS O FRACCIONARIOS
Fracción Impropia -Numerador mayor que el denominador. Toda fracción impropia es mayor que la unidad.
Fracción Propia -Numerador menor que el denominador. Toda fracción propia es menor que la unidad

SUMA

In the beginning of the story (or the exposition), you will need to introduce the setting and characters. You might also want to introduce the main conflict. This part of the story is important because it gives the reader necessary background information and maybe even a first insight into a character’s personality.

Con números enteros y mixtos
ejm: 1+2=3 o 1 1/2+2 3/4
Con números mixto
ejm: 2 3/4=2.4+3/4=11/4
Fracción con distinto denominador
ejm:3/4+7/10=15+14/20=29/20
Fracción con igual denominador

Characters are essential to a good story. Usually, the protagonist(s) is/are the most affected by the plot. Introduce a character by focusing on their actions, interests, and occupation, as the physical appearance doesn't make a difference in most cases.

ejm:8/3+5/3=8+5/3=13/3

Type in the name of your character.

RESTA

Se representa simbolicamente de la siguiente manera:𝑈=𝑄.∀𝑎,∀𝑏,∀𝑐:𝑎+𝑏=𝑎+(−𝑏)