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Subido el 18 de octubre de 2023 por Carolina H.

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Concepto de número entero, valor absoluto y operaciones combinadas con números enteros.

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We are going to record the whole number class so that you can have it in the virtual class and be able to recover it 00:00:00
because if you learn to operate combined operations with whole numbers, you will know how to do any type of combined operation. 00:00:07
That is why it was so important that we knew how to do it first and apply the hierarchy of operations. 00:00:14
That is why we crush it a lot in the issue of natural numbers. 00:00:20
So now we are just going to try to learn how to handle the signs. 00:00:23
So, in mathematics, the sign "-", what it is doing is representing a meaning. 00:00:32
You are very used to using whole numbers in daily life. Who can give me an example? 00:00:40
When you go to the bank, you have less than 500 euros. 00:00:48
lo que me indica es un sentido si tú tienes más 500 que te está indicando que tienes dinero si tú 00:00:51
tienes menos 500 euros en la cuenta que te está indicando no es que no tengas que debes dinero 00:00:59
ojo entonces el signo menos ahí me está indicando un sentido otra cosa en la vida real en la que 00:01:08
we also use that we need the signs more and less to indicate a sense 00:01:15
the elevator you go up floors up or you go down floors down in 00:01:24
we are all having a reference from which we left which 00:01:29
then what the sign indicates is that I go in a sense of zero and what 00:01:35
indicates the sign less is that I am going to go in another sense of where according to 00:01:41
another case the temperature or you are above zero or you are below zero the refrigerator 00:01:45
you can put it at 5 degrees or you can put it at minus 5 degrees if you want it to cool down 00:02:00
and freeze you, it is clear then what it tells us to work with positive and negative signs is that 00:02:06
yo ahora lo que voy a tener es un término ya no tengo restas ahora sólo 00:02:16
voy a agrupar cosas como según el sentido que tenga luego el signo va a ir 00:02:22
siempre delante del número me podríais decir cuántos números entonces tengo en 00:02:27
esta primera operación las siete a la 1 a perdón cuatro términos y quiénes 00:02:32
serían los términos 00:02:37
No, who would be the terms that you are seeing here? 00:02:41
That's what you have to learn to see. 00:02:47
What numbers do I have? 00:02:49
No, the 2 is not 2, it's plus 2. 00:02:51
This is the same... 00:02:56
Oh, how fat it is. 00:02:57
Let's make it thinner. 00:02:59
No, it can't be. 00:03:02
Well, this is the same as plus 2, 00:03:04
minus 1, 00:03:10
minus 6 and plus 4 this is important that we see it I have four terms that I am going to group and those 00:03:12
terms that I am going to group are the plus 2 the minus 1 the minus 6 and the plus 4 has been clear 00:03:22
then I have to see that I always have the sign in front of the number and what I am going to do is add 00:03:29
as if I were in an elevator so I would like to see this exercise so that you can learn to do 00:03:35
the sum of ascents or groupings of ascents or that you close all your eyes and imagine that 00:03:40
you are in a huge building your building I need you to close your eyes so that you do not have 00:03:46
external stimuli and you can think it is worth to close your eyes please imagine that you are in a 00:03:51
building you are always going to enter through floor zero ok so if I go up two floors where I am 00:03:58
And if I now subtract 1, plus 1. And if I subtract 6, minus 5. And if I add 4, in the minus 1. Look, plus 2, minus 1, minus 6, plus 4 is minus 1. 00:04:10
Because I have added 2, removed 1, removed 6 and raised 4. 00:04:29
Has it been clear? 00:04:37
The sum of ascensors always work like this. 00:04:38
That's why there are no subtractions with whole numbers. 00:04:41
I only add the positive or negative in one direction or in the other. 00:04:45
I have moved. 00:04:52
If I did, no, I think I'm going to do it horizontally, which is going to be easier for you. 00:04:53
If this is my 0, I would have here, 00:05:02
minus 1, minus 2, minus 3, minus 4, minus 5 and minus 6. 00:05:13
So, look, if I go to the plus 2, 00:05:19
I go from 0, I go up 2, I'm at the plus 2. 00:05:27
Si ahora bajo 1, estoy en el 1. 00:05:32
Si ahora bajo 6, 1, 2, 3, 4, 5 y 6, estoy en el menos 5. 00:05:38
Y si ahora subo 4, 1, 2, 3 y 4, estoy en el menos 1. 00:05:48
¿Ha quedado claro lo que voy haciendo? 00:05:56
so I group in one direction or in the other as the sign tells me, simply 00:05:57
more is to go in one direction, less is to go in the other 00:06:02
in the real line, more is to go to the right and less is to go to the left 00:06:06
is it clear? 00:06:12
if I had this turned, what we get is a representation of the real line 00:06:14
in which I have the positives to the right and the negatives to the left 00:06:37
with which the minus sign now I understand what it means in mathematics the 00:06:44
minus sign is translated into Spanish by the opposite word 00:06:49
then when I'm going to do this smaller 00:06:54
I don't know why I can't do this 00:07:05
I don't know why I can't, I don't know why I can't make it smaller. 00:07:24
Well, then, the minus sign is going to have a meaning. 00:08:11
If I am here in the zero, which is my reference, and I go to the right, I have the positive numbers. 00:08:19
If I go to the left, I am used to having the negative numbers. 00:08:29
What does it mean to have minus 5? 00:08:36
The sign o menos here means opposite. 00:08:42
So, when I have the minus 5, I have the opposite of 5, okay? 00:08:45
Every time I see the minus sign, I can say opposite. 00:08:58
So, who is going to be the opposite of the minus 5? 00:09:01
The 5, right? 00:09:09
The opposite of the minus 5, if I have the minus 5 here, it's going to be the 5 that's here. 00:09:11
But the opposite we've said is minus, right? 00:09:20
So, this could also be written as minus, minus 5. 00:09:23
So, every time I have the opposite of a minus, I'm going to have a plus. 00:09:33
Because minus is the opposite, and the opposite of the minus 5 is plus 5. 00:09:40
So, when I have the opposite of a negative, it's going to give me a positive. 00:09:46
And if I have the opposite of a positive, it's going to give me a negative. 00:09:51
And that's where the famous rule of the signs comes from. 00:09:56
But what about the rule of the signs? 00:09:59
You can think about it. 00:10:01
When I have a positive sign, I have a positive sign. 00:10:02
When I have a negative sign, I have a negative sign. 00:10:08
When I have the opposite of a negative sign, I have a positive sign. 00:10:13
And when I have the opposite of a positive sign, I have a negative sign. 00:10:17
Okay? 00:10:20
Is that clear? 00:10:22
So, I used to say this to the kids, the friend of my friend is my friend, the friend of my friend is my friend. 00:10:24
Sorry, I'm recording. 00:10:36
The enemy of my enemy is my friend, and the enemy of my friend is my enemy. 00:10:40
¿Vale? Porque funcionan igual el enemigo y el amigo, son dos números, son dos nombres, perdón, con la misma relación de oposición que el positivo y el negativo. 00:10:49
¿Ha quedado claro? 00:10:59
Sí. 00:11:01
¿De acuerdo? 00:11:01
Entonces, esta regla de los signos es la que yo voy a utilizar si la queréis memorizar de forma sencilla. 00:11:02
Fijaos, cuando los signos son iguales, ¿el resultado cómo es? 00:11:10
Igual. 00:11:15
Y cuando los signos son distintos, negativo. 00:11:15
Si lo queréis recordar memorizándolo, pero si no lo memorizamos, lo razonamos. 00:11:22
El menos significa opuesto. 00:11:28
Cuando yo sé que el menos significa opuesto, ya no tengo que aprenderme nada de memoria. 00:11:31
¿Lo hemos entendido? 00:11:36
¿Sí? 00:11:38
Hay otro concepto que es importante que es el de valor absoluto. 00:11:39
¿Vale? 00:11:42
So, the absolute value of a number is a concept that is symbolized with two little lines, and what it means is a distance. 00:11:43
If I want, and I'm talking about absolute value of something, of a number, it's the distance to zero, because we've said that zero is our reference. 00:11:53
So it's the distance from 0 to 0 of this number. 00:12:13
Let's see. 00:12:30
If I separate two steps from the board, what is my distance to the board? 00:12:34
Plus 2. 00:12:40
Plus 2. 00:12:41
Plus 2. 00:12:43
If I separate two steps in this sense of my board, what is my distance to the board? 00:12:44
If I separate three steps from the table, what is my distance to the table? 00:12:50
Plus three. 00:12:58
The distances can be negative. 00:12:59
No. 00:13:01
Can you measure a negative distance? 00:13:03
No. 00:13:05
Or you don't measure distance, in which case the distance is zero. 00:13:08
Or you measure a distance, this is important, 00:13:13
the distances that I measure can only be positive. 00:13:15
A distance can never be negative. The concept of distance implies that I measure something. 00:13:19
Then it will always be positive. 00:13:25
So, whole. 00:13:28
But if whole numbers are all. 00:13:31
No. 00:13:34
I do not know. 00:13:35
Let's see. For you it is 1, it seems to me, because what we have seen before was a review. 00:13:37
Let's see. 00:13:43
This is my zero. If I want what is the distance from 4 to 0, I'm going to put it like this. 00:13:46
The absolute value is symbolized with two lines. This, with something inside, means the absolute value of what is inside. 00:14:10
¿Vale? 00:14:27
Entonces, si yo quiero el valor absoluto 00:14:30
Si yo pongo las dos rayas de un 4 00:14:32
Lo que quiero es el valor absoluto de 4 00:14:34
Y hemos dicho que el valor absoluto es 00:14:36
La distancia al 0 de lo que lleve dentro 00:14:39
Luego, ¿cuál es la distancia al 0 del 4? 00:14:43
¿Cuánto se separa el 4 del 0? 00:14:48
Si yo quiero el valor absoluto de menos 3, quiero la distancia al 0 del menos 3. ¿Cuánto vale? 3. ¿Lo hemos entendido? Si yo quiero la distancia al 0 de 5 menos 4. ¿Quién es 5 menos 4? 1. 00:14:53
¿Quién es cinco menos cuatro? Uno. Pues ¿cuál es el valor absoluto de uno? Uno. Si yo quiero la distancia al cero de menos dos más, no, menos cuatro más dos. 00:15:31
of minus 4 00:15:53
plus 2 00:15:55
is the absolute value 00:15:58
of minus 2. 00:16:01
Look, because the absolute value 00:16:04
of minus 4 plus 2, how much is it? 00:16:06
Because it's the absolute value 00:16:10
of minus 2. 00:16:12
Is it clear? 00:16:14
Do we understand? 00:16:15
So, evidently the absolute value 00:16:17
can give me a negative number. 00:16:20
because the distances are only positive. 00:16:21
Is that clear? 00:16:26
The absolute value is a distance. 00:16:28
It can never give me negative 00:16:29
because a distance is only positive. 00:16:31
So the absolute value of something 00:16:35
is always going to be the positive value 00:16:36
of what I have inside. 00:16:38
Is that clear? 00:16:40
Yes. 00:16:41
Okay? 00:16:42
You have to copy it. 00:16:44
I'm the one who says it. 00:16:47
I don't know how to do it. 00:16:53
¿Qué significa cuando un número está entre paréntesis? 00:16:54
Entre paréntesis, que tiene un signo delante de operación. 00:17:01
Tú no puedes tener dos signos de operación juntos. 00:17:07
Entonces, si por ejemplo tienes por menos ocho, tienes que poner un paréntesis entre el por y el menos. 00:17:10
Porque no puedes tener dos signos juntos. 00:17:16
Ah, o sea que es solo para separar. 00:17:18
Es para separar signos. 00:17:20
¿Vale? 00:17:22
Let's go then, do you have it already? 00:17:23
Have you understood that the absolute value is the distance to the zero of what I have inside, the absolute value? 00:17:29
And it is indicated with two lines, you are going to see it a lot of times. 00:17:35
And what it is telling me is that I go to, I see how far I separate from the zero independently of the meaning. 00:17:39
The meaning is going to be the same, I just want how far I separate in steps from the zero, okay? 00:17:46
So, let's see. Let's go with the operations. I'm going to delete this. Okay. So, we had the first. Let's see if I can now. Well, no, it doesn't let me. It's stuck there. I'm going to delete it. 00:17:53
Let's see, this one here, we are going to do the sum of ascents with feet on the floor and I'll show you, I'll tell you the numbers and you tell me the result, if it's positive with a finger up, if it's negative with the finger down. 00:18:35
No te preocupes, no te preocupes, no te preocupes que da, entonces, listos, cerrad los ojos, te lo dicto, menos 8, más 6, menos 2, más 5, pienso, preparo, enseño. 00:19:00
Positivo. ¿Y qué número? 00:19:34
Más uno. 00:19:38
¿Más uno? 00:19:39
Más uno. 00:19:40
Más uno. 00:19:41
Vale, vamos a verlo. 00:19:42
Menos ocho más dos. 00:19:44
Menos dos con menos dos. 00:19:47
Menos dos con menos dos. 00:19:50
Menos cuatro. 00:19:53
No hay dobles signos. 00:19:54
Estoy agrupando nada más. 00:19:56
Así que menos cuatro. 00:19:58
Y menos cuatro más uno. 00:19:59
Perdón, más cinco. 00:20:01
Más uno. 00:20:03
Minus 8, plus 6, minus 2, plus 5 means that under 8 and up 6 I am in the minus 2. 00:20:04
Under 2 I am in the minus 4 and up 5 I am in the plus 1. 00:20:13
A simpler way to see it, when I have them written. 00:20:20
Define that. 00:20:33
It's another way to do it, there it is. 00:20:35
so if I can add plus 6 with plus 5 it gives me plus 11 if I add minus 8 with minus 2 it gives me 00:20:38
minus 10 plus 11 minus 10 is 1 that is the second way when I have very small numbers I can 00:20:48
do them as a sum of ascents or when the numbers are very large it is convenient for me to group 00:20:56
positives on one side to group negatives on the other to make the difference and put the sign of 00:21:02
bigger. Has it been clear? 00:21:07
I think it's better 00:21:15
if you stay there. 00:21:17
Okay, let's see. 00:21:18
Let's now do the 00:21:21
next one. It's very important 00:21:23
to know well the 00:21:25
sum of ascents. 00:21:27
It's important to manage well 00:21:28
the sum of ascents of up, down, 00:21:31
up, down. All 00:21:33
the operations 00:21:35
combinations of zeros always end up in a sum and we cannot do that with removing double 00:21:36
signs, removing double signs is one thing, making sums of extensors is another, I only group and put the 00:21:45
sign of what is left in the sums of extensors and always all the operations combined end up 00:21:53
in a sum of extensors, then what we are going to do in the next one is to remove the double 00:21:58
signos para ver qué suma de ascensor me quedaría y entonces ya la puedo hacer 00:22:04
diego quítame los dobles signos podría hacer el doble signo 00:22:10
del menos 9 que me va a quedar porque 00:22:17
porque es un más lo que tengo delante si no pone nada siempre es un más y 00:22:24
So, with the plus sign, I have the sign that I have. 00:22:30
Plus and minus is minus. 00:22:33
Now I have here another double sign. 00:22:38
What am I going to have? 00:22:40
Plus. 00:22:42
Because as it is a plus, I have what I have. 00:22:42
And now I have here another double sign. 00:22:46
What am I going to have? 00:22:48
Plus. 00:22:50
Because as it is a plus, I have what I have. 00:22:50
I already have my sum of the ascensor. 00:22:53
How much does it give? 00:22:56
Minus one. 00:22:58
Because plus seven plus one is plus eight. 00:22:59
And minus 9, minus 9, so minus 1. 00:23:02
Okay? 00:23:07
Are you writing them down on the sheet I gave you? 00:23:09
Are you writing them down? 00:23:11
And what are you waiting for? 00:23:13
I mean, you're not here drinking tea. 00:23:14
But... 00:23:17
You have to write it down like this. 00:23:18
I wrote down the first one. 00:23:25
What is important is to learn to see the terms, do you see it? 00:23:27
The sign in front of the number, so the sign with the number is a term. 00:23:40
Let's go with the one below. 00:23:44
Here I have a double sign, what will I get? 00:23:46
Negative, minus 8. 00:23:50
Here I have another double sign, what will I get? 00:23:51
Positive, plus 8. 00:23:54
And here I have another double sign, what will I get? 00:23:56
Plus 2, because they are equal signs. 00:23:58
¿Cuánto va a dar? 00:24:01
Más 2. 00:24:02
¿Por qué lo sabes tan rápido, Marta? 00:24:02
Porque menos 8 más 8 es 0 y suma 2. 00:24:05
Ahí está. 00:24:08
Lo bueno es que si yo trabajo bien con enteros y he entendido cómo funcionan, 00:24:09
en las sumas los puedo cancelar. 00:24:13
Y entonces, yo sé que si yo bajo 8 y subo 8 no hago nada. 00:24:16
Así que, ¿para qué lo voy a operar? 00:24:20
Opero solo y más 2 que me queda detrás. 00:24:22
¿Lo entendemos? 00:24:25
Sí. 00:24:26
¿Todos? 00:24:27
Sí. 00:24:28
Vamos a la de abajo. 00:24:29
Do you do it, please? 00:24:30
Come on 00:24:32
Do we do that? 00:24:40
Yes, the A 00:24:42
I go minus 2 00:24:44
No, no, you do it on the paper 00:24:46
Great, then go with the A 00:24:48
I am 00:24:50
I am 00:24:52
Positive, negative 00:25:11
But the double sign you have to take it off 00:25:17
Ah, so 00:25:19
Minus 8 00:25:21
Ah, so like everything... 00:25:23
Of course, because that's how you can... 00:25:27
I know, I know, I know. 00:25:28
Okay, how many is it? 00:25:33
27. 00:25:35
23. 00:25:36
27. 00:25:38
Let's see. 00:25:39
I'll remove this double sign, because it's a plus and a plus. 00:25:40
Plus 2. 00:25:43
Minus and minus. 00:25:45
Plus 9. 00:25:46
Minus and minus. 00:25:47
The opposite of minus 8 is plus 8. 00:25:49
And the opposite of minus 8 is plus 8. 00:25:51
So, in reality, I would have plus 2 plus 9 plus 8 plus 8. 00:25:53
Why do I know that they are 27? 00:25:58
Valeria, how did you do it? 00:26:00
How did you add them? 00:26:05
Adding 8 plus 8, 9 plus 9. 00:26:07
Okay, 8 plus 8, 16. 00:26:09
9 plus 2, 11. 00:26:11
27. 00:26:12
Another simpler way. 00:26:12
Look, this plus 2 here, I can divide it with a 1 here and a 1 here. 00:26:17
9 times 3, 27. 00:26:22
Okay? 00:26:32
The next one, come on, do you do it? 00:26:33
¿El 3 te lo voy haciendo o no? 00:26:35
Sí, sí. 00:26:46
¿Cuántos da? 00:26:54
¿La B? 00:26:55
¿4 o menos 4? 00:26:57
Más 4. 00:26:58
¡Qué dudas! 00:27:01
Vamos a ver. 00:27:02
Esto me queda más 4. 00:27:04
Voy a quitar aquí. 00:27:07
Menos 7. 00:27:11
Muy bien. 00:27:12
Menos 2. 00:27:12
Menos 2. 00:27:13
Más 1. 00:27:15
Más 1. 00:27:15
Ya tengo mi suma de ascensor. 00:27:16
Así que... 00:27:18
4 menos 7 menos 3. 00:27:21
Menos 3 menos 2 menos 5. 00:27:23
minus 5 plus 1? Minus 4. The next one. How many does it give you? Let's see, Jenny, what do I write? 00:27:24
Plus 2, minus 8, minus 5, plus 3, equals minus 9. No, you have one left. Ah, I have one left. You have one left, the minus 1. 00:28:05
¿Cuánto da? 00:28:16
Mira. 00:28:28
Mira. 00:28:30
Yo haría el truco de agrupar. 00:28:32
Dos y tres son cinco, con el menos cinco se va a cero. 00:28:37
Así que, ¿qué me va a quedar? 00:28:42
Menos nueve. 00:28:45
Y este último, venga. 00:28:51
¿Cuánto da? 00:29:09
minus 21 because I know the same trick as before minus 1 minus 1 and minus 5 are minus 7 minus 7 three 00:29:10
times is minus 21 then minus 7 times 3 is minus 21 go the rule of the signs also works 00:29:20
con las multiplicaciones evidentemente si yo tengo una multiplicación 00:29:33
si yo tengo una multiplicación estoy multiplicando por el número pero también 00:29:45
estoy aplicando el factor del signo entonces si por ejemplo yo quiero 00:29:49
multiplicar el 3 por el menos 2 lo que estoy haciendo es el menos 23 veces por 00:29:53
tanto si yo hago el menos 23 veces que me va a quedar menos 6 por tanto 00:30:02
un más por un menos 00:30:08
vuelve a dar menos, igual que antes 00:30:10
si yo multiplico 00:30:12
el 3 por el 2 00:30:16
lo tengo fácil, sé que es 6 00:30:18
luego un más por un más 00:30:20
me va a dar más 00:30:22
¿eh? 00:30:23
sí, sí, pero esta fórmula 00:30:28
no viene de la nada, viene de 00:30:30
razonar de que el menos es el opuesto 00:30:32
entonces, la conmutativa 00:30:34
existe, por tanto, si más 00:30:36
for less is less less for more it will also be less what is the other one that is a little complicated 00:30:38
if I do minus 3 times minus 2 that he is telling me that he does here that he takes this that I already know 3 times 00:30:45
minus 2 is 6 with the negative because we have done it up here I take it then if I remember 00:30:54
el significado del opuesto el opuesto de menos 6 quienes el más 6 así que cuando 00:31:23
yo tengo un signo menos operado con otro signo menos como estoy haciendo el 00:31:32
opuesto de un negativo que me va a quedar positivo pues no me tengo que 00:31:36
aprender dos cosas lo mismo de antes si estoy multiplicando o dividiendo con 00:31:40
signos iguales me quedará positivo y con signos distintos 00:31:44
me quedará negativo y ya está igual que antes entonces los dobles signos y la 00:31:52
multiplicación y la división funcionan igual que me tengo que acordar para 00:31:59
multiplicar y dividir primero se operan los signos y luego se operan los números 00:32:02
es decir primero se multiplican o dividen los signos luego se multiplican 00:32:11
divide by the numbers that I have for example if they gave me minus minus 3 by 4 00:32:16
by minus 1 how many signs do I have here 00:32:28
Cuatro signos. ¿Qué signos tengo? El menos, el menos, solo signos. El más y el negativo. 00:32:39
Primero signos, luego me olvido de los signos y opero los números. Menos por menos, ¿qué 00:32:55
hemos dicho que da? Más. Más por más, ¿qué hemos dicho que da? Más. Más. Y el más 00:33:01
for less that we have said that it gives less because the result is going to be 00:33:08
negative and I already forget about the signs and I only have to multiply the 3 00:33:13
by 4 and by the one that is going to give me 00:33:18
minus 12 00:33:26
it is very important please when we operate we multiply and divide 00:33:30
whole first signs and then numbers 00:33:34
first signs and then numbers as many as there are 00:33:40
we are going to try another 00:33:45
I just want to erase this 00:34:05
I don't know what's going on here that is giving me 00:34:10
guys guys guys please okay let's see 00:34:17
Vamos a ir a la primera operación. 00:34:54
¿Qué tenemos en el A? 00:34:58
Tengo menos 5 y le quiero agrupar con una multiplicación. 00:35:02
¿Qué se me hace antes, las agrupaciones o las multiplicaciones? 00:35:07
Agrupación. 00:35:11
Digo... 00:35:12
Las multiplicaciones. 00:35:13
Eso significa que yo voy a multiplicar todo esto primero. 00:35:15
¿Vale? 00:35:20
Entonces, ¿qué es lo primero que tengo? 00:35:21
Menos 5. 00:35:23
Can you leave your cell phone, please, since you are in a class? 00:35:23
Do you keep it? 00:35:28
Thank you. 00:35:30
Let's see. 00:35:32
First, what? 00:35:33
I copy the "-5", just as we did in the combined operations. 00:35:35
And now I'm going to operate this multiplication. 00:35:41
And we have said, first, signs, and then, numbers. 00:35:44
Okay? 00:35:49
Let's see what signs I have. 00:35:50
What sign do I have here? 00:35:51
Más. ¿Qué signo tengo aquí? Más. ¿Y qué signo tengo aquí? Por. No, menos, de los enteros. Más por más. Más. ¿Y más por menos? Menos. Así que el resultado va a ser menos. 00:35:52
Y ya me olvido del signo y solo hago la operación de los números. 00:36:09
Uno por uno, uno. 00:36:14
Y ya estoy en mi suma de ascensor. 00:36:17
¡Ojo! Las sumas de ascensores no llevan regla de signos. 00:36:19
No se hace menos por menos, es una suma de ascensor. 00:36:24
Solo agrupo. 00:36:27
Si estoy en el menos cinco y bajo uno, ¿dónde estoy? 00:36:28
En el menos seis. 00:36:31
En el menos seis. 00:36:33
Ah, he escuchado cuatro y digo... 00:36:36
¿Ha quedado claro? 00:36:38
It's a sum of ascents, minus 5 minus 1 is minus 6, not more than 6. 00:36:39
The rule of the signs only makes sense with the multiplication and with the division, or with the double signs. 00:36:45
The sums of ascents, no. 00:36:52
Let's go to the next one. 00:36:56
What can I do first? What do I have to do first, Diego? 00:36:57
Diego. 00:37:04
But what am I going to operate? 00:37:06
La división. ¿Cuántos signos tengo en la división? 00:37:08
Dos. 00:37:13
¿No? 00:37:13
Tres. 00:37:14
Tres. Vale, ¿qué signos tengo? 00:37:16
Menos. 00:37:19
Menos. 00:37:20
Menos. 00:37:22
Y menos. 00:37:23
¿Menos por menos? 00:37:26
Más. 00:37:28
¿Y el más por menos? 00:37:28
Menos. 00:37:29
El resultado va a ser negativo, entonces voy a copiar hasta ahí, pondré menos uno, 00:37:30
y ahora la operación de los signos me dará menos por menos más más por menos 00:37:34
menos y tres entre tres muy bien menos uno menos uno menos dos no me hagas la 00:37:39
regla de los signos es ahí donde se equivocan por eso ha 00:37:48
quedado claro bien que hago ahora valeria en la siguiente operación que 00:37:55
What should I do first? 00:38:00
Can you do the multiplication? 00:38:02
Why? 00:38:10
That's it. 00:38:12
Phenomenal. 00:38:17
You have to do the operation of the parenthesis. 00:38:19
I don't know what to do. 00:38:21
Ok? Ok? Ok? 00:38:23
Ok? 00:38:25
Let's soften it a bit. 00:38:27
Ok. 00:38:29
You have to do the operation of the parenthesis. 00:38:31
Then I'll copy everything. 00:38:33
What would you write then, Valeria? 00:38:35
6 and now listen, can you do the double sign of 7? 00:38:37
Of course I can. I can also do this double sign, so what would you write? 00:38:41
Very good, plus 7, followed by? 00:38:47
Minus 8. 00:38:57
Very good, minus 8. 00:39:01
And look, look Gerson, I have two signs, that's what you were asking before, one for and one minus. 00:39:04
Can they be together? 00:39:11
No. 00:39:13
Well, then I have to separate them and I separate them with a parenthesis, but this parenthesis does not have to be done because it is not a parenthesis of operation, it is a parenthesis of separation, to say that I have two signs and that I do not confuse them. 00:39:14
Has it been clear? Tell me. 00:39:27
Now, what would I do? Raquel, what can I do here in this operation? 00:39:30
No, what can I do? Between grouping and multiplying, what do you do? 00:39:39
Well, first I have to do the multiplication. 00:39:45
That's it. So, what am I going to write? 00:39:50
No, first I have to copy what I have. 00:39:52
And now, yes, I operate signs and then numbers. 00:39:56
Minus. 00:40:00
Quiet. 00:40:04
Great. 00:40:07
Y si yo ahora tengo menos 6 y menos 56? Sería menos, muy bien, 62. Fenomenal, menos 62. No pasa nada, 6 y 6 son 12. Menos 62, ¿vale? ¿Te animas a hacer la siguiente? Venga. 00:40:07
¿Qué harías primero? 00:40:28
¿Pero qué harías primero antes de dictarme? 00:40:39
¿Cuál? 00:40:43
¿No puedes hacer la división si no sabes entre qué divides? 00:40:46
Eso es. 00:40:50
Y eso es, genial. 00:40:52
Y también puedes hacer este doble signo. 00:40:53
Entonces, dime qué escribirías, a ver. 00:40:56
Muy bien. 00:41:00
¿Sí? 00:41:02
Genial. 00:41:04
¿Y ahora qué operarías? 00:41:06
Dime qué términos vas a dividir. 00:41:10
Más 15 entre más 15. 00:41:14
Eso es lo importante. 00:41:17
Por eso os he dicho, es importante discriminar los términos. 00:41:18
Sí, se llama así, discriminar. 00:41:22
Discriminar es diferenciar. 00:41:24
Diferenciar los términos. 00:41:26
Diferenciar qué dos términos estoy operando. 00:41:28
y el signo va con el número así que los términos que estoy operando son más 15 00:41:30
entre más 15 vale por tanto que me quedaría 00:41:35
el menos 2 lo copio más por más entre más más y 15 entre 15 1 muy bien menos 00:41:41
2 más 1 menos 1 00:41:49
ojo que ese menos 1 no viene de la regla de los signos si yo pusiera menos 2 más 00:41:53
8 would give me plus 6. Is it clear? All of you? Well, the one below comes out. 00:41:58
No, plus 15, between 15, it's an entre. Okay, next one. Willy, cheer up. Here, what would you do in this one? 00:42:10
Ah, primero tengo que sumar, ¿no? 00:42:22
Muy bien, muy bien, muy bien. 00:42:27
Agrupar. 00:42:29
Ya no hablamos de... 00:42:30
Porfa. 00:42:31
¿Podéis parar un segundo? 00:42:33
Darla, por favor. 00:42:35
Vale. 00:42:38
A ver. 00:42:38
Muy bien. 00:42:39
No hablo ya de sumar, porque ya no es sumas o restas. 00:42:40
Agrupo directamente. 00:42:43
Agrupo este paréntesis y agrupo este paréntesis. 00:42:44
Entonces, ¿qué me va a quedar? 00:42:47
Y también hay otra cosa que puedes hacer. 00:42:48
O sea, tengo que poner menos 4. 00:42:52
Sí. 00:42:54
A menos 24. 00:42:56
Eso es, estás agrupando este doble signo. 00:43:00
Muy bien. 00:43:03
A menos 24 dividido. 00:43:03
Sí. 00:43:06
Espera, a menos 8. 00:43:07
Sí. 00:43:09
¿Y qué tengo que añadir? 00:43:10
Más. 00:43:12
Ahora, ¿no? 00:43:13
No, primero el menos. 00:43:14
A eso. 00:43:16
¿Y aquí? 00:43:17
It would be plus... 00:43:18
Minus 1, minus 2? 00:43:21
Minus 3. 00:43:23
Minus 3. 00:43:24
Okay, what do you see? 00:43:25
What's missing? 00:43:27
The division. 00:43:28
No, there are things missing. 00:43:30
Parenthesis in the minus 3? 00:43:32
Only? 00:43:35
And in the minus 8? 00:43:37
Because there can't be two signs together. 00:43:39
Y ahora, ¿qué podría operar? 00:43:42
Vale, ¿qué dos números divides, Arón? 00:43:53
Menos 24 entre menos 8. 00:43:59
¡Ojo! 00:44:01
¿Y qué otra cosa puede operar también? 00:44:03
El signo de menos delante del menos 3. 00:44:05
El doble signo. 00:44:08
Eso se llama el doble signo. 00:44:09
El doble signo del 3. 00:44:10
Entonces, ¿qué me quedaría? 00:44:13
Menos 4. 00:44:15
Menos 4. 00:44:16
Más. 00:44:17
Más. 00:44:17
Más, porque menos por menos es más. 00:44:18
Más cuatro, más tres. 00:44:21
¿Veinticuatro entre ocho? 00:44:23
¿Cuatro? 00:44:25
No. 00:44:26
No. 00:44:27
Tres. 00:44:27
Tres. 00:44:28
¿Y ahora, menos por menos? 00:44:30
Más. 00:44:32
Pues más tres. 00:44:33
¿Qué me va a dar? 00:44:34
Menos dos. 00:44:35
No. 00:44:36
Digo dos. 00:44:36
Dos. 00:44:37
Más dos. 00:44:38
Más tres, más tres son más seis. 00:44:39
Más seis menos cuatro son dos. 00:44:42
Es que veo el menos y digo menos. 00:44:43
Are you ready? 00:44:45
Me? 00:44:50
Yes, come on. 00:44:51
Aaron, please, can you lower and soften the rhythm? 00:44:54
Can you? 00:44:59
Please? 00:45:01
Thank you. 00:45:02
Let's see. 00:45:03
Okay. 00:45:05
Oh, plus seven. 00:45:09
Yes? 00:45:11
Well, first I have to say what is done first, right? 00:45:12
Okay. 00:45:14
two parentheses. Which ones? I have three. Well, the minus 5. The double sign of the minus 5. That's it. Okay, plus. And then, well, the minus 7 plus 2. Yes. And the plus 1 minus 6. Okay, what would you write? Well, plus 7 first. Yes. Now I'm going to wait. 00:45:15
Menos cinco entre, pues, Diego, menos cinco, está bien así, Diego, la puedes dejar, porque luego cuando te pregunto a ti no vas con esa carrerilla, déjala respirar, que la dejes de respirar, ahora el foco está en ella, no en ti, menos cinco, claro, déjala que tenga su momento, 00:45:33
The moment of glory? 00:46:05
Yes, the moment of glory. 00:46:06
Okay. 00:46:07
Minus... 00:46:08
And here? 00:46:09
Minus 5. 00:46:10
And what do you have to put? 00:46:11
Parenthesis. 00:46:13
Very good. 00:46:14
And now, what are you going to do? 00:46:15
Well, the parentheses. 00:46:19
In plan, minus, minus 5. 00:46:21
The double sign of the minus 5. 00:46:23
And well, 5 times minus 5. 00:46:26
What terms are you going to divide? 00:46:29
Well, that. 00:46:32
No. 00:46:33
Eso es, muy bien 00:46:34
Menos 5 entre menos 5, entonces, ¿qué me queda? 00:46:36
Pues más 7 00:46:39
Sí, recuerda, primeros signos, luego números 00:46:40
Pues eso, menos 1 00:46:43
No, menos por menos 00:46:45
Más, más, más 00:46:47
Más, más, más, más 1 00:46:48
Y más 5 00:46:50
Eso es 00:46:53
Así que, 13 00:46:54
Y ya, muy bien 00:46:56
Sí, puedes hacer la siguiente, venga 00:46:58
No, you have to copy it all. 00:47:00
Dictate me from the beginning. 00:47:20
It's very good that you've seen what you have to do. 00:47:21
But when you write, you have to write from the beginning. 00:47:24
No, minus, this is called corchete, yes, yes, and now, look, first wait for the signs, sing it, very well, the result is going to be negative, and what multiplication do I do? 00:47:30
One by one, what does it give you? One, great, and now what are you going to solve? 00:47:52
Now, well, that gives me 6. 00:47:58
Okay, the cork, right? 00:48:04
Okay, so what would you write? 00:48:07
Minus 6. 00:48:08
Minus 6, minus, and the result of plus 7 minus 1? 00:48:09
It's minus 7, it would be positive. 00:48:15
Plus 7 minus 1? 00:48:16
No. 00:48:19
It's not a rule of signs, it's a sum of ascents, plus 7 minus 1. 00:48:20
If you go up 7 and go down 1? 00:48:24
Si subes siete pisos, ¿dónde estás? En el más siete. 00:48:29
¿Y si bajas uno? En el seis. 00:48:33
Más seis. Así que lo separo. 00:48:36
Y ahora ya hago este doble signo de aquí. 00:48:40
Menos seis, menos seis. 00:48:44
¿Cuánto te da menos seis, menos seis? 00:48:47
Muy bien. 00:48:51
¿Has visto dónde te trababas? Ten cuidado con eso. 00:48:54
Sumas de ascensor no son reglas de signos, ¿vale? 00:48:57
the sums of the sensor, I'm just grouping and nothing else. Marta, are you ready? Come on. Tell me what I'm doing here. 00:49:00
Aaron, please, can you stop? I don't care. Go on, Marta. 00:49:12
Okay, what you're going to do then is this first. Okay, well, tell me. 00:49:22
Más siete, más, por favor, que no se oye. 00:49:30
Más siete. 00:49:35
Más, corchete, muy bien. 00:49:40
Más uno. 00:49:44
Vamos a ver, menos por más, ¿cuánta es la operación de los signos? 00:49:48
Menos por más, menos. 00:49:52
No, porque eran menos por más, menos, y menos por más. 00:49:55
Minus, very good. And now? 10 divided by 5, 2. Very good. 00:50:00
So, what will you write? What are you going to do now? 00:50:08
The cork. 00:50:12
The cork, great. And what are we going to write? 00:50:13
Plus 7. 00:50:16
Plus 7. 00:50:16
Plus. 00:50:18
Plus. 00:50:18
If I raise 1 and lower 2? 00:50:21
I raise 1. 00:50:27
Very good. Like this? 00:50:28
No, in parentheses. 00:50:30
Muy bien, entre paréntesis. 00:50:31
Con lo cual ahora tendré que quitar el doble signo de aquí. 00:50:33
¿Y qué me va a quedar? 00:50:39
Más 7. 00:50:42
Menos 1, ¿qué es? 00:50:45
Más 6. 00:50:48
Muy bien. 00:50:49
¿Ha quedado claro? 00:50:51
¿Dudas? 00:50:53
A ver, a ver, a ver, porfa. 00:51:00
¿Dónde te has perdido, Jenny? 00:51:02
¿Cuándo tengo que poner en paréntesis a los números? 00:51:04
Por favor. 00:51:08
¿Cuándo tengo que poner entre paréntesis a los números? 00:51:10
Cuando tengo dos signos juntos. 00:51:12
Yo no puedo tener dos signos juntos. 00:51:14
Sí, sí, pero, o sea, el por qué tengo que... 00:51:16
¿En cuál de ellas estás? 00:51:19
En el último, por ejemplo. 00:51:21
Vale, aquí. 00:51:22
Sí, o sea, bueno... 00:51:23
Cuando tú pones, cuando tú pones este más de aquí, lo pones aquí. 00:51:26
Sí. 00:51:31
but then the result of here gives you minus plus 1 minus 2 gives you minus 1 then 00:51:32
notice that you have here and here two signs together you can't have them you have to 00:51:39
separate them so that's why it is put in parentheses in minus 1 because it is plus minus 1 00:51:45
And that process can be done automatically without putting it? 00:51:51
Step by step? 00:51:55
Without putting it. 00:51:57
If you put me from the beginning to the end a 6, no. 00:51:59
Because some intermediate step, I'm sure you have to ... 00:52:03
No, but I say, the intermediate step, I mean, instead of putting plus 7 plus parentheses minus 1 ... 00:52:05
Yes, from here to here, of course, if you have practice, of course you can pass. 00:52:10
Yes, nothing happens, because you are already putting the sign directly from here of the operation, nothing happens. 00:52:14
no pasa nada. O sea, tú estás haciendo el más uno menos dos y le estás añadiendo 00:52:20
el más de delante. No pasa nada, ¿vale? Pero paso a paso, no me puedes poner la operación 00:52:24
combinada y solo el resultado final porque es imposible. Ni yo lo hago. O sea, llevo 00:52:31
muchos años trabajando con números. Vamos con el final, esta de aquí. Vamos a ver cómo 00:52:36
lo haríamos. Fíjate que aquí ya tengo de todo. Entonces, tengo que mirar tranquilamente 00:52:44
para ver qué puedo hacer. 00:52:52
Diego, venga, ¿qué puedes hacer en el corchete? 00:52:53
Dime qué términos multiplicarías. 00:52:57
¿Te falta algo más? 00:53:02
Y el no, y el más de delante. 00:53:06
Tú puedes multiplicar todo esto. 00:53:08
Entonces, el más por el más 8 y el menos 6, 00:53:10
porque en realidad el más es como multiplicar por más 1. 00:53:13
¿Vale? 00:53:17
¿Qué otra cosa puedes hacer? 00:53:17
El paréntesis de agrupar el menos 7 con el más 6. 00:53:24
Muy bien. 00:53:27
Entonces, ¿qué escribirías? 00:53:28
Yes? Yes? Yes? Signs of multiplication, please sing it for me. 00:53:30
And plus or minus? Of course, you do them all at the same time. 00:53:40
And now? 6 times 8? 48. 00:53:49
Ok. And now what do I have to copy? 00:53:59
Minus. And now, minus 7 plus 6? 00:54:02
What can I do now? 00:54:07
What can you do? 00:54:13
Here I have a sum of the ascensor but I can't do it until I remove the what? 00:54:21
But it's not because I remove the parenthesis, what I operate is the double sign. 00:54:29
This one here. So what would I have left? 00:54:37
But it's not a parenthesis to operate. 00:54:40
Because it's not a parenthesis of operation. 00:54:44
It's just removing the double sign. 00:54:46
So you would have plus 4, plus cork, and inside the cork, you can put minus 46 too, it doesn't matter, but come on, if you want, we'll do it later, plus 2, minus 48, plus 1. 00:54:48
And now, what do I have to do? 00:55:08
The cork. 00:55:14
So, I can do it with the commutative. 00:55:15
now the commutative makes a lot of sense when we start to see the 00:55:17
separate terms because now I know that my terms are plus 2 minus 48 and plus 1 00:55:20
because I can do plus 2 and plus 1 which is plus 3 with minus 48 minus 45 has been 00:55:26
clear with which I would have plus 4 plus minus 45 or directly as it is a plus 00:55:32
put minus 45 it would give me the same take and put directly minus 45 that was 00:55:40
before what they told me because I see it as I have one more in front of what I am going to 00:55:47
give in the cork I stay with what I have in the cork and plus 4 minus 45 00:55:53
minus 41 00:55:57
minus 41 00:55:58
¿vale? 00:56:03
¿vas más? ¿te animas a hacer una? 00:56:09
¿no? Raquel 00:56:11
venga, dale 00:56:12
¿sí? 00:56:13
¿sí? 00:56:21
piensa primero qué vas a hacer 00:56:26
por eso os digo que primero miréis la operación 00:56:28
la división 00:56:29
ojo que tienes un signo 00:56:31
delante que también puedes operar claro y también tienes que hacer este 00:56:34
corchete aquí entonces despacito estás aquí así que tienes que hacer no te 00:56:41
queda antes de llegar ahí 00:56:47
corchete que no se me puede olvidar menos 6 y ahora si opera tu signo que 00:56:51
estaba deseosa más por menos menos no nos termina hay otros no no primero 00:56:57
signs then numbers plus for less for less now and now 4 between 2 00:57:05
first signs then numbers that is super important multiplications and divisions 00:57:19
first signs then numbers first signs then numbers here I have a minus that I can not 00:57:23
operate and now plus 7 minus 5 00:57:29
Very good, Ejerson, 2. 00:57:38
And now, look, I can do it by touching the plus 2 and the minus 2, 00:57:46
I would have a minus 6 and I change the sign. 00:57:50
But I'm going to take the opportunity to tell you another way in which sometimes it is usually operated. 00:57:52
We have said that if I have a minus, it means the opposite of, right? 00:57:59
Pues ese menos delante del corchete significa el opuesto de todo lo que tengo dentro del corchete. 00:58:06
Por tanto, yo podría escribir esto como este menos 2 de aquí, 00:58:15
y ahora el opuesto de todo lo que tengo aquí dentro. 00:58:20
¿Quién es? 00:58:30
El opuesto de menos 6. 00:58:31
Y ya pondría más 6, directamente. 00:58:33
¿Quién es el opuesto de más 2? 00:58:37
minus 2 and I would put the opposite of this directly and who is the opposite of 00:58:39
minus 2 plus 2 and I have exactly the same that's why many times you have 00:58:45
heard that a minus sign in front of a parenthesis changes the sign all the 00:58:52
logical parenthesis a minus sign in front of a parenthesis is telling me that 00:58:55
I have the opposite of what I have inside the parenthesis so if I have 00:59:00
minus 6 plus 2 minus 2 I have left plus 6 minus 2 plus 2 which are the opposites of the 00:59:05
parenthesis and now I already do my sum of ascensor that also as I know cancel it is super easy because 00:59:11
I have left 4 plus 4 here this exercise after making the decision there is a minus and then there is 00:59:17
Sí, el menos es este. 00:59:29
No, no, no. 00:59:31
Perdón. 00:59:32
Dentro del corchete. 00:59:34
O sea, sí. 00:59:36
Después de esa división, ahí está el signo menos. 00:59:37
Vale, pero menos más dos es lo mismo que menos dos, es esto. 00:59:39
Pero si tengo el signo menos antes del paréntesis... 00:59:45
Pero primero tienes que quitar este doble signo, el menos con el más. 00:59:55
El menos de aquí con el más de aquí queda menos dos. 00:59:59
A ver, esperame. Es que ahí es donde me he perdido antes. 01:00:02
A ver, lo que yo decía es, si este, o sea, aquí tengo que hacer también el menos por más me da menos y menos por menos me da más. 01:00:08
Pero no lo hemos hecho, lo que hemos hecho ha sido primero agruparlo. Daría igual, menos siete más cinco da menos dos. 01:00:18
Pero luego, pero luego... 01:00:25
Da igual, escucha. 01:00:26
Ah, vale, vale, vale. 01:00:28
It does the same. If you do what you are telling me to do, minus 7 plus 5, it still gives you minus 2. 01:00:29
Yes, yes, yes, I saw it, I saw it. 01:00:34
Okay? That's why I said that it can be done in both ways. 01:00:35
What happens is that normally, if we have numbers, we usually operate the parenthesis and then change it to a sign. 01:00:39
But if I already have many things, maybe I'm interested in doing it. 01:00:47
I've put it like this so that you have an example of each thing. 01:00:50
Okay? 01:00:54
That you can do either of the two. 01:00:54
Can you leave your cell phone, please? You're in a class. No, no, save it. 01:00:56
Diego, save it, please. Save it. 01:01:01
Aaron, do you save it? Do you save it? 01:01:04
You too? Do you save it? 01:01:08
Okay, thanks. 01:01:13
Come on. Let's do the next one. 01:01:15
I can do this division. I can do this division. 01:01:22
Do you see it? And I can't do anything else. So, what would I write? 01:01:26
Plus one. Plus one. 01:01:32
Plus four. 01:01:34
No, I can't do this plus four, because this minus operates the whole cork. 01:01:39
Look, if you do that sign, you are removing the hierarchy, because first, I mean, you are making a hierarchy error, 01:01:45
because first you have to operate the whole cork to know what you have to do with the opposite. 01:01:51
So I would have a minus, I copy the cork, the minus 4, and now I operate this division. 01:01:57
How much of this division, Willy? 01:02:07
Plus minus 10 between minus 5, first signs, then numbers. 01:02:09
Of course, first signs, plus, minus and minus. 01:02:14
Well, that, plus by minus, minus by minus, plus, and now 10 by 5, 01:02:19
10 by 5 is 2, of course, okay, I close the cork, I put a sum, I open the cork, I put the plus 3, 01:02:31
y ahora hago esta operación más menos 9 entre menos 9 primeros signos luego números 01:02:46
más por menos menos por menos más eso es más 1 y ahora o cambio de signos o hago lo que puedo 01:02:54
hacer o cambio de signos los corchetes o hago los corchetes y luego los cambio de signos que 01:03:05
What do you prefer? 01:03:10
Do you prefer me to change the signs? 01:03:15
Resolve it. 01:03:17
As you want. 01:03:19
How do you want to do it? Come on, Willy, do it yourself. 01:03:21
It would be the same, one. 01:03:23
Plus one? 01:03:25
It would be the same. 01:03:27
Plus... 01:03:31
Plus six? 01:03:33
No. That's why I'm telling you, 01:03:37
either you make the cork and change the sign, 01:03:39
or you change the sign and then you operate. 01:03:41
Claro, pero es que este menos que da más 4, también me cambia el más 2 por un menos 2. 01:03:43
Ah, ok, ok. 01:03:52
Claro, y este más lo dejo igual, más 3 y más 1. 01:03:53
¿Qué me da? 01:03:58
3 y una 4, y 4, 8 y una 9, 9 menos 2, 7. 01:04:07
¿Vale? 01:04:13
El último. 01:04:15
I would do this and I would do this so I would have plus 1 minus corchete plus 3 and now 01:04:19
less by less more by more more and 8 by 8 64 plus corchete plus 6 and now more 01:04:28
by more more by more more and 8 between 42 instead of applying the sign to all 01:04:36
the corchets as I did in exercise c what I'm going to do is operate the 01:04:43
corchetes y luego cambiar el signo para que tengáis uno de cada así que lo que 01:04:47
tendría que operar es esto esto de aquí y esto de aquí y me quedaría más 1 menos 01:04:51
y fíjate willy el menos me afecta a todo más 3 y más 64 no sólo al más 3 la 01:04:58
distributiva entonces sería menos 67 y ahora más y pues 6 y 28 por tanto menos 01:05:05
67 plus 9 plus 8 plus 1 of course minus 67 plus 8 is minus 59 plus 1 01:05:14
minus 58 if we have not been wrong it has been clear doubts 01:05:31
I'm not going to do more combined operations I think you have one of each kind 01:05:39
tomorrow what we will see are the powers with the combined operations that 01:05:43
are a little more than then what I am going to tell you is that I am going to give you 01:05:47
a sheet that has 60 operations because this is practice does not have more than 01:05:53
practice and practice and practice then comes the operation and the result that 01:05:58
you have to give and for you to practice you agree any 01:06:02
of the class is to practice is to practice what you have to deliver to me remember that they are 01:06:07
the works of those who put those who are in pink in the weeks of the virtual and those who put 01:06:17
self-evaluation of the content at the end that you are making very few people and you have to 01:06:24
do them they are online you have to do the online tests of the operation of the content that is 01:06:29
el 30% de la nota. ¿De acuerdo? 01:06:35
¿Dudas? 01:06:37
Pues chicos, hemos acabado la clase 01:06:39
de hoy. Así que muchas gracias. 01:06:41
Idioma/s:
es
Idioma/s subtítulos:
en es
Autor/es:
Carolina Hassmann
Subido por:
Carolina H.
Licencia:
Reconocimiento - No comercial - Sin obra derivada
Visualizaciones:
36
Fecha:
18 de octubre de 2023 - 13:40
Visibilidad:
Público
Centro:
CEPAPUB CANILLEJAS
Duración:
1h′ 06′ 45″
Relación de aspecto:
1.78:1
Resolución:
1280x720 píxeles
Tamaño:
153.33 MBytes

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