NÚMEROS RACIONALES Super facil - Para principiantes
Summary
TLDRIn this educational video, Daniel Carrión introduces the concept of rational numbers, which can be expressed as fractions. He explains the hierarchy starting from natural numbers, moving to integers, and finally rational numbers. Carrión uses examples like 2, -8, 0.75, and 0.888... to illustrate rational numbers. He also differentiates between exact decimals, pure recurring decimals, and mixed recurring decimals, all of which are rational. The video ends with exercises for viewers to practice and encourages engagement through likes and subscriptions.
Takeaways
- 📚 Daniel Carrión introduces the topic of rational numbers.
- 🔢 Rational numbers are those that can be expressed as a division or fraction, written as a/b where a and b are integers and b ≠ 0.
- 🌐 The script provides a visual representation of rational numbers using the symbol 'Q'.
- 🔄 It discusses the hierarchy of numbers, starting with natural numbers (N), then integers (Z), and finally rational numbers (Q).
- 🔢 Natural numbers are used for counting and are represented by the symbol 'N'.
- 🔄 Integers include natural numbers and their negatives, represented by the symbol 'Z'.
- 📈 Rational numbers include integers and can be represented in various ways, such as 2/1, 4/2, or 84/42.
- 🔹 The script differentiates between exact decimals (finite number of decimal places) and repeating decimals (infinite repeating sequence).
- 🔄 Examples of rational numbers include 0.5 (1/2), 3.25 (13/4), -0.75 (-3/4), and repeating decimals like 0.888... (8/9).
- 📝 Daniel encourages viewers to practice identifying rational numbers and solving exercises.
- 👍 The video concludes with a call to action for likes, comments, shares, and subscriptions.
Q & A
What is the main topic discussed in the video script?
-The main topic discussed in the video script is rational numbers.
How are rational numbers defined in the script?
-Rational numbers are defined as numbers that can be represented as a division or a fraction, in the form of a over b, where a and b are integers and b is not equal to zero.
What symbol is used to represent rational numbers in the script?
-The symbol used to represent rational numbers in the script is the letter 'q'.
What is the difference between natural numbers and integers according to the script?
-Natural numbers are used for counting and are represented by the symbol 'n', while integers include all natural numbers and their opposites, represented by the symbol 'z'.
Can you provide an example of how the number 2 is represented as a rational number?
-The number 2 can be represented as a rational number in various ways, such as 2/1, 4/2, or 8/4.
What are the different types of rational numbers mentioned in the script?
-The script mentions integers, exact decimals, pure periodic decimals, and mixed periodic decimals as different types of rational numbers.
How is the number -0.75 represented as a rational number?
-The number -0.75 is represented as a rational number as -34/100 or -3/4.
What is a pure periodic decimal according to the script?
-A pure periodic decimal is one in which all its decimal places repeat infinitely, such as 0.888... which is equal to 8/9.
Can you explain what a mixed periodic decimal is using an example from the script?
-A mixed periodic decimal is one where there is a non-repeating decimal part before the repeating period. For example, 0.8333... where the '3' repeats infinitely is equal to 5/6.
What is the purpose of the exercises mentioned at the end of the script?
-The purpose of the exercises is to allow viewers to practice and solidify their understanding of rational numbers.
How can viewers engage with the content after watching the video?
-Viewers can engage with the content by liking the video, commenting their responses to the exercises, sharing the video, and subscribing for more content.
Outlines
📘 Introduction to Rational Numbers
Daniel Carrión introduces the topic of rational numbers, explaining that they can be represented as a division or fraction (a/b, where a and b are integers and b ≠ 0). He provides an overview of the classification of rational numbers, including natural numbers (N), integers (Z), and rational numbers (Q). Examples are given to illustrate how integers like 2 and -8 can be represented as fractions. The video also covers exact decimals, pure periodic decimals, and mixed periodic decimals, all of which are rational because they can be expressed as fractions.
Mindmap
Keywords
💡Rational Numbers
💡Natural Numbers
💡Integers
💡Fraction
💡Decimals
💡Repeating Decimals
💡Mixed Repeating Decimals
💡Classification
💡Symbol Representation
💡Exercises
💡Engagement
Highlights
Introduction to the topic of rational numbers by Daniel Carrión.
Definition of rational numbers as those that can be represented as a division or fraction.
Representation of rational numbers with the symbol 'Q'.
Explanation of the set of natural numbers represented by 'N'.
Inclusion of natural numbers and their opposites in the set of integers represented by 'Z'.
Description of integers as numbers used for counting and their negatives.
Rational numbers encompassing both natural and integer numbers.
Example of representing the number 2 as a rational number in various fraction forms.
Explanation of negative numbers as rational numbers with examples.
Introduction to exact decimals as rational numbers with a finite number of decimals.
Example of -0.75 being equal to -3/4, illustrating rational representation.
Introduction to pure periodic decimals as rational numbers.
Example of 0.888... being equal to 8/9, showing periodic decimal as a rational number.
Introduction to mixed periodic decimals with a non-repeating initial decimal part.
Example of 0.8333... being equal to 5/6, illustrating mixed periodic decimal as a rational number.
Emphasis on all the numbers discussed being rational because they can be represented as fractions.
Encouragement for viewers to solve exercises and share their answers in the comments.
Request for likes, comments, shares, and subscriptions to support the channel.
Anticipation of the next video and farewell to viewers.
Transcripts
qué onda espero que estés muy bien mi
nombre es daniel carrión y hoy te quiero
platicar de uno de mis temas favoritos
los números racionales pero antes de
empezar repasemos algunos conceptos
básicos
los números racionales son aquellos que
se pueden representar como una división
o como una fracción mira los números
nacionales los representaremos así como
a sobre b donde hay b serán enteros y b
no puede ser 0 los números racionales se
representan con este símbolo que es la
letra q para que veamos un poco mejor la
clasificación de los números racionales
vamos a ver este esquema primero tenemos
el conjunto de los números naturales que
se representa con este símbolo que es
una letra n iv son los números que
utilizamos para contar como un dulce dos
dulces tres dulces cuatro dulces y así
sucesivamente hasta el infinito también
tenemos otro conjunto que abarque esos
mismos números que son los números
enteros que se representan con este
símbolo que es una zeta y abarca los
números naturales que son los que
utilizamos para contar y también los
números opuestos o sea todos los enteros
negativos como ejemplo te puedo dar el
menos 3 el menos 2 - 1 el 0 1 2 3 y así
sucesivamente para ambos lados de la
recta y también tenemos otro conjunto
que abarca estos dos últimos que son los
números racionales que se representan
con este símbolo que es una letra q que
son todos los números que se pueden
representar como una fracción y como
ejemplo tengo un medio 3.25 16 cuartos
menos seis décimos y menos 0.75 para que
esto quede más claro sigue viendo el
vídeo vamos a ver esta pequeña
clasificación de números racionales
primero tenemos los números enteros el 2
es un número racional porque se puede
representar como una fracción como 2
entre 1 o como 4 entre 2 o como 84 y
seguramente tú conoces más formas de
representar el 2 como una fracción pero
también tenemos el menos 8 que se puede
representar como menos 8 entre 1 y 16
entre menos 2 o menos 24 entre 3 también
tenemos los decimales exactos que son
aquellos que tienen un número finito de
decimales y tenemos el menos 0.75 que es
igual a menos 34 y 0.10 es igual a 1
sobre 10 o un décimo también tenemos los
decimales periódicos puros que son
aquellos en los cuales todos sus
decimales se repiten infinitamente como
0.8 88 periódico que es igual a 8
novenos y también tenemos los decimales
periódicos mixtos que son aquellos que
entre la parte entera y el periodo hay
una parte decimal que no se repite
llamada ante periodo por ejemplo tengo
el 0.8 333 y esta parte siempre se
repite y esto es igual a 5 sextos como
te puedes dar cuenta todos estos números
que acabamos de ver son racionales
porque se pueden representar como una
fracción
facilísimo verdad a continuación te voy
a dejar unos ejercicios podrás
resolverlos espero ver tus respuestas en
los comentarios
espero que este tema te haya gustado por
favor regálame un like comenta
compártelo y suscríbete para que pueda
seguir viendo mis vídeos nos vemos la
próxima
hasta luego
Browse More Related Video
5.0 / 5 (0 votes)