1
00:00:00,000 --> 00:00:07,000
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

2
00:00:07,000 --> 00:00:14,000
because if you learn to operate combined operations with whole numbers, you will know how to do any type of combined operation.

3
00:00:14,000 --> 00:00:20,000
That is why it was so important that we knew how to do it first and apply the hierarchy of operations.

4
00:00:20,000 --> 00:00:23,000
That is why we crush it a lot in the issue of natural numbers.

5
00:00:23,000 --> 00:00:32,200
So now we are just going to try to learn how to handle the signs.

6
00:00:32,200 --> 00:00:40,200
So, in mathematics, the sign "-", what it is doing is representing a meaning.

7
00:00:40,200 --> 00:00:48,789
You are very used to using whole numbers in daily life. Who can give me an example?

8
00:00:48,789 --> 00:00:51,789
When you go to the bank, you have less than 500 euros.

9
00:00:51,789 --> 00:00:59,869
lo que me indica es un sentido si tú tienes más 500 que te está indicando que tienes dinero si tú

10
00:00:59,869 --> 00:01:08,469
tienes menos 500 euros en la cuenta que te está indicando no es que no tengas que debes dinero

11
00:01:08,469 --> 00:01:15,489
ojo entonces el signo menos ahí me está indicando un sentido otra cosa en la vida real en la que

12
00:01:15,489 --> 00:01:24,090
we also use that we need the signs more and less to indicate a sense

13
00:01:24,090 --> 00:01:29,930
the elevator you go up floors up or you go down floors down in

14
00:01:29,930 --> 00:01:35,189
we are all having a reference from which we left which

15
00:01:35,189 --> 00:01:41,290
then what the sign indicates is that I go in a sense of zero and what

16
00:01:41,290 --> 00:01:45,950
indicates the sign less is that I am going to go in another sense of where according to

17
00:01:45,950 --> 00:02:00,290
another case the temperature or you are above zero or you are below zero the refrigerator

18
00:02:00,290 --> 00:02:06,170
you can put it at 5 degrees or you can put it at minus 5 degrees if you want it to cool down

19
00:02:06,170 --> 00:02:16,789
and freeze you, it is clear then what it tells us to work with positive and negative signs is that

20
00:02:16,789 --> 00:02:22,370
yo ahora lo que voy a tener es un término ya no tengo restas ahora sólo

21
00:02:22,370 --> 00:02:27,710
voy a agrupar cosas como según el sentido que tenga luego el signo va a ir

22
00:02:27,710 --> 00:02:32,270
siempre delante del número me podríais decir cuántos números entonces tengo en

23
00:02:32,270 --> 00:02:37,949
esta primera operación las siete a la 1 a perdón cuatro términos y quiénes

24
00:02:37,949 --> 00:02:41,169
serían los términos

25
00:02:41,169 --> 00:02:46,789
No, who would be the terms that you are seeing here?

26
00:02:47,550 --> 00:02:48,810
That's what you have to learn to see.

27
00:02:49,389 --> 00:02:50,310
What numbers do I have?

28
00:02:51,569 --> 00:02:55,810
No, the 2 is not 2, it's plus 2.

29
00:02:56,629 --> 00:02:57,990
This is the same...

30
00:02:57,990 --> 00:02:58,750
Oh, how fat it is.

31
00:02:59,610 --> 00:03:00,949
Let's make it thinner.

32
00:03:02,090 --> 00:03:02,849
No, it can't be.

33
00:03:04,669 --> 00:03:07,969
Well, this is the same as plus 2,

34
00:03:10,780 --> 00:03:12,120
minus 1,

35
00:03:12,120 --> 00:03:22,620
minus 6 and plus 4 this is important that we see it I have four terms that I am going to group and those

36
00:03:22,620 --> 00:03:29,039
terms that I am going to group are the plus 2 the minus 1 the minus 6 and the plus 4 has been clear

37
00:03:29,039 --> 00:03:35,740
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

38
00:03:35,740 --> 00:03:40,680
as if I were in an elevator so I would like to see this exercise so that you can learn to do

39
00:03:40,680 --> 00:03:46,439
the sum of ascents or groupings of ascents or that you close all your eyes and imagine that

40
00:03:46,439 --> 00:03:51,120
you are in a huge building your building I need you to close your eyes so that you do not have

41
00:03:51,120 --> 00:03:58,120
external stimuli and you can think it is worth to close your eyes please imagine that you are in a

42
00:03:58,120 --> 00:04:08,800
building you are always going to enter through floor zero ok so if I go up two floors where I am

43
00:04:10,680 --> 00:04:29,199
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.

44
00:04:29,199 --> 00:04:35,500
Because I have added 2, removed 1, removed 6 and raised 4.

45
00:04:37,079 --> 00:04:37,639
Has it been clear?

46
00:04:38,500 --> 00:04:41,120
The sum of ascensors always work like this.

47
00:04:41,480 --> 00:04:43,879
That's why there are no subtractions with whole numbers.

48
00:04:45,079 --> 00:04:50,399
I only add the positive or negative in one direction or in the other.

49
00:04:52,699 --> 00:04:53,819
I have moved.

50
00:04:53,819 --> 00:05:02,060
If I did, no, I think I'm going to do it horizontally, which is going to be easier for you.

51
00:05:02,740 --> 00:05:04,939
If this is my 0, I would have here,

52
00:05:13,639 --> 00:05:18,800
minus 1, minus 2, minus 3, minus 4, minus 5 and minus 6.

53
00:05:19,660 --> 00:05:22,699
So, look, if I go to the plus 2,

54
00:05:27,329 --> 00:05:32,029
I go from 0, I go up 2, I'm at the plus 2.

55
00:05:32,029 --> 00:05:37,029
Si ahora bajo 1, estoy en el 1.

56
00:05:38,250 --> 00:05:47,509
Si ahora bajo 6, 1, 2, 3, 4, 5 y 6, estoy en el menos 5.

57
00:05:48,250 --> 00:05:55,170
Y si ahora subo 4, 1, 2, 3 y 4, estoy en el menos 1.

58
00:05:56,689 --> 00:05:57,930
¿Ha quedado claro lo que voy haciendo?

59
00:05:57,930 --> 00:06:02,930
so I group in one direction or in the other as the sign tells me, simply

60
00:06:02,930 --> 00:06:06,930
more is to go in one direction, less is to go in the other

61
00:06:06,930 --> 00:06:12,930
in the real line, more is to go to the right and less is to go to the left

62
00:06:12,930 --> 00:06:14,930
is it clear?

63
00:06:14,930 --> 00:06:37,959
if I had this turned, what we get is a representation of the real line

64
00:06:37,959 --> 00:06:44,100
in which I have the positives to the right and the negatives to the left

65
00:06:44,100 --> 00:06:49,639
with which the minus sign now I understand what it means in mathematics the

66
00:06:49,639 --> 00:06:54,720
minus sign is translated into Spanish by the opposite word

67
00:06:54,720 --> 00:07:05,569
then when I'm going to do this smaller

68
00:07:05,569 --> 00:07:24,360
I don't know why I can't do this

69
00:07:24,360 --> 00:08:11,120
I don't know why I can't, I don't know why I can't make it smaller.

70
00:08:11,120 --> 00:08:19,459
Well, then, the minus sign is going to have a meaning.

71
00:08:19,459 --> 00:08:29,199
If I am here in the zero, which is my reference, and I go to the right, I have the positive numbers.

72
00:08:29,800 --> 00:08:35,899
If I go to the left, I am used to having the negative numbers.

73
00:08:36,539 --> 00:08:40,399
What does it mean to have minus 5?

74
00:08:42,019 --> 00:08:45,559
The sign o menos here means opposite.

75
00:08:45,559 --> 00:08:57,580
So, when I have the minus 5, I have the opposite of 5, okay?

76
00:08:58,059 --> 00:09:01,340
Every time I see the minus sign, I can say opposite.

77
00:09:01,840 --> 00:09:08,779
So, who is going to be the opposite of the minus 5?

78
00:09:09,860 --> 00:09:10,919
The 5, right?

79
00:09:11,419 --> 00:09:17,559
The opposite of the minus 5, if I have the minus 5 here, it's going to be the 5 that's here.

80
00:09:20,080 --> 00:09:22,399
But the opposite we've said is minus, right?

81
00:09:23,240 --> 00:09:28,240
So, this could also be written as minus, minus 5.

82
00:09:33,509 --> 00:09:39,110
So, every time I have the opposite of a minus, I'm going to have a plus.

83
00:09:40,230 --> 00:09:45,009
Because minus is the opposite, and the opposite of the minus 5 is plus 5.

84
00:09:46,009 --> 00:09:51,610
So, when I have the opposite of a negative, it's going to give me a positive.

85
00:09:51,610 --> 00:09:56,610
And if I have the opposite of a positive, it's going to give me a negative.

86
00:09:56,610 --> 00:09:59,610
And that's where the famous rule of the signs comes from.

87
00:09:59,610 --> 00:10:01,610
But what about the rule of the signs?

88
00:10:01,610 --> 00:10:02,610
You can think about it.

89
00:10:02,610 --> 00:10:08,610
When I have a positive sign, I have a positive sign.

90
00:10:08,610 --> 00:10:13,610
When I have a negative sign, I have a negative sign.

91
00:10:13,610 --> 00:10:17,610
When I have the opposite of a negative sign, I have a positive sign.

92
00:10:17,610 --> 00:10:20,610
And when I have the opposite of a positive sign, I have a negative sign.

93
00:10:20,610 --> 00:10:22,610
Okay?

94
00:10:22,610 --> 00:10:24,610
Is that clear?

95
00:10:24,610 --> 00:10:36,610
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.

96
00:10:36,610 --> 00:10:40,610
Sorry, I'm recording.

97
00:10:40,610 --> 00:10:49,610
The enemy of my enemy is my friend, and the enemy of my friend is my enemy.

98
00:10:49,610 --> 00:10:58,730
¿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.

99
00:10:59,690 --> 00:11:00,789
¿Ha quedado claro?

100
00:11:01,230 --> 00:11:01,450
Sí.

101
00:11:01,929 --> 00:11:02,269
¿De acuerdo?

102
00:11:02,730 --> 00:11:10,269
Entonces, esta regla de los signos es la que yo voy a utilizar si la queréis memorizar de forma sencilla.

103
00:11:10,570 --> 00:11:15,009
Fijaos, cuando los signos son iguales, ¿el resultado cómo es?

104
00:11:15,350 --> 00:11:15,990
Igual.

105
00:11:15,990 --> 00:11:21,309
Y cuando los signos son distintos, negativo.

106
00:11:22,850 --> 00:11:28,269
Si lo queréis recordar memorizándolo, pero si no lo memorizamos, lo razonamos.

107
00:11:28,909 --> 00:11:31,250
El menos significa opuesto.

108
00:11:31,750 --> 00:11:35,909
Cuando yo sé que el menos significa opuesto, ya no tengo que aprenderme nada de memoria.

109
00:11:36,629 --> 00:11:37,330
¿Lo hemos entendido?

110
00:11:38,409 --> 00:11:38,629
¿Sí?

111
00:11:39,629 --> 00:11:42,929
Hay otro concepto que es importante que es el de valor absoluto.

112
00:11:42,929 --> 00:11:43,549
¿Vale?

113
00:11:43,549 --> 00:11:53,330
So, the absolute value of a number is a concept that is symbolized with two little lines, and what it means is a distance.

114
00:11:53,330 --> 00:12:13,000
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.

115
00:12:13,000 --> 00:12:23,600
So it's the distance from 0 to 0 of this number.

116
00:12:30,860 --> 00:12:31,559
Let's see.

117
00:12:34,309 --> 00:12:40,049
If I separate two steps from the board, what is my distance to the board?

118
00:12:40,330 --> 00:12:41,029
Plus 2.

119
00:12:41,350 --> 00:12:43,029
Plus 2.

120
00:12:43,029 --> 00:12:43,750
Plus 2.

121
00:12:44,429 --> 00:12:50,570
If I separate two steps in this sense of my board, what is my distance to the board?

122
00:12:50,570 --> 00:12:57,929
If I separate three steps from the table, what is my distance to the table?

123
00:12:58,029 --> 00:12:58,929
Plus three.

124
00:12:59,450 --> 00:13:01,129
The distances can be negative.

125
00:13:01,769 --> 00:13:02,210
No.

126
00:13:03,110 --> 00:13:05,009
Can you measure a negative distance?

127
00:13:05,429 --> 00:13:05,710
No.

128
00:13:08,309 --> 00:13:12,470
Or you don't measure distance, in which case the distance is zero.

129
00:13:13,149 --> 00:13:15,370
Or you measure a distance, this is important,

130
00:13:15,370 --> 00:13:19,809
the distances that I measure can only be positive.

131
00:13:19,809 --> 00:13:25,809
A distance can never be negative. The concept of distance implies that I measure something.

132
00:13:25,809 --> 00:13:28,809
Then it will always be positive.

133
00:13:28,809 --> 00:13:31,809
So, whole.

134
00:13:31,809 --> 00:13:34,809
But if whole numbers are all.

135
00:13:34,809 --> 00:13:35,809
No.

136
00:13:35,809 --> 00:13:37,809
I do not know.

137
00:13:37,809 --> 00:13:43,809
Let's see. For you it is 1, it seems to me, because what we have seen before was a review.

138
00:13:43,809 --> 00:13:46,809
Let's see.

139
00:13:46,809 --> 00:14:10,220
This is my zero. If I want what is the distance from 4 to 0, I'm going to put it like this.

140
00:14:10,220 --> 00:14:27,200
The absolute value is symbolized with two lines. This, with something inside, means the absolute value of what is inside.

141
00:14:27,200 --> 00:14:29,200
¿Vale?

142
00:14:30,200 --> 00:14:32,639
Entonces, si yo quiero el valor absoluto

143
00:14:32,639 --> 00:14:34,419
Si yo pongo las dos rayas de un 4

144
00:14:34,419 --> 00:14:36,960
Lo que quiero es el valor absoluto de 4

145
00:14:36,960 --> 00:14:39,759
Y hemos dicho que el valor absoluto es

146
00:14:39,759 --> 00:14:43,740
La distancia al 0 de lo que lleve dentro

147
00:14:43,740 --> 00:14:47,799
Luego, ¿cuál es la distancia al 0 del 4?

148
00:14:48,100 --> 00:14:49,740
¿Cuánto se separa el 4 del 0?

149
00:14:49,740 --> 00:14:50,220
4

150
00:14:50,220 --> 00:14:53,220
4

151
00:14:53,220 --> 00:15:31,870
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.

152
00:15:31,870 --> 00:15:53,179
¿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.

153
00:15:53,179 --> 00:15:55,299
of minus 4

154
00:15:55,299 --> 00:15:58,000
plus 2

155
00:15:58,000 --> 00:16:01,799
is the absolute value

156
00:16:01,799 --> 00:16:04,139
of minus 2.

157
00:16:04,299 --> 00:16:06,100
Look, because the absolute value

158
00:16:06,100 --> 00:16:07,399
of minus 4 plus 2, how much is it?

159
00:16:08,500 --> 00:16:09,059
2.

160
00:16:10,600 --> 00:16:12,240
Because it's the absolute value

161
00:16:12,240 --> 00:16:12,940
of minus 2.

162
00:16:14,039 --> 00:16:14,659
Is it clear?

163
00:16:15,320 --> 00:16:16,120
Do we understand?

164
00:16:17,500 --> 00:16:20,340
So, evidently the absolute value

165
00:16:20,340 --> 00:16:21,919
can give me a negative number.

166
00:16:21,919 --> 00:16:26,059
because the distances are only positive.

167
00:16:26,620 --> 00:16:27,340
Is that clear?

168
00:16:28,000 --> 00:16:29,679
The absolute value is a distance.

169
00:16:29,899 --> 00:16:31,539
It can never give me negative

170
00:16:31,539 --> 00:16:34,259
because a distance is only positive.

171
00:16:35,000 --> 00:16:36,519
So the absolute value of something

172
00:16:36,519 --> 00:16:38,240
is always going to be the positive value

173
00:16:38,240 --> 00:16:39,740
of what I have inside.

174
00:16:40,299 --> 00:16:41,179
Is that clear?

175
00:16:41,580 --> 00:16:41,799
Yes.

176
00:16:42,539 --> 00:16:42,799
Okay?

177
00:16:44,320 --> 00:16:47,169
You have to copy it.

178
00:16:47,490 --> 00:16:48,090
I'm the one who says it.

179
00:16:53,279 --> 00:16:54,779
I don't know how to do it.

180
00:16:54,779 --> 00:17:00,720
¿Qué significa cuando un número está entre paréntesis?

181
00:17:01,179 --> 00:17:07,019
Entre paréntesis, que tiene un signo delante de operación.

182
00:17:07,279 --> 00:17:09,700
Tú no puedes tener dos signos de operación juntos.

183
00:17:10,220 --> 00:17:15,839
Entonces, si por ejemplo tienes por menos ocho, tienes que poner un paréntesis entre el por y el menos.

184
00:17:16,220 --> 00:17:17,980
Porque no puedes tener dos signos juntos.

185
00:17:18,319 --> 00:17:20,920
Ah, o sea que es solo para separar.

186
00:17:20,960 --> 00:17:22,339
Es para separar signos.

187
00:17:22,740 --> 00:17:23,299
¿Vale?

188
00:17:23,299 --> 00:17:27,019
Let's go then, do you have it already?

189
00:17:29,599 --> 00:17:35,259
Have you understood that the absolute value is the distance to the zero of what I have inside, the absolute value?

190
00:17:35,640 --> 00:17:38,900
And it is indicated with two lines, you are going to see it a lot of times.

191
00:17:39,279 --> 00:17:46,380
And what it is telling me is that I go to, I see how far I separate from the zero independently of the meaning.

192
00:17:46,380 --> 00:17:51,640
The meaning is going to be the same, I just want how far I separate in steps from the zero, okay?

193
00:17:53,299 --> 00:18:35,259
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.

194
00:18:35,259 --> 00:19:00,880
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.

195
00:19:00,880 --> 00:19:33,200
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.

196
00:19:34,460 --> 00:19:37,960
Positivo. ¿Y qué número?

197
00:19:38,400 --> 00:19:38,900
Más uno.

198
00:19:39,339 --> 00:19:39,940
¿Más uno?

199
00:19:40,319 --> 00:19:41,200
Más uno.

200
00:19:41,920 --> 00:19:42,460
Más uno.

201
00:19:42,779 --> 00:19:43,819
Vale, vamos a verlo.

202
00:19:44,519 --> 00:19:46,640
Menos ocho más dos.

203
00:19:47,859 --> 00:19:49,960
Menos dos con menos dos.

204
00:19:50,960 --> 00:19:52,640
Menos dos con menos dos.

205
00:19:53,579 --> 00:19:54,680
Menos cuatro.

206
00:19:54,980 --> 00:19:56,339
No hay dobles signos.

207
00:19:56,500 --> 00:19:57,819
Estoy agrupando nada más.

208
00:19:58,160 --> 00:19:59,180
Así que menos cuatro.

209
00:19:59,180 --> 00:20:00,960
Y menos cuatro más uno.

210
00:20:01,799 --> 00:20:02,680
Perdón, más cinco.

211
00:20:03,160 --> 00:20:04,140
Más uno.

212
00:20:04,460 --> 00:20:13,339
Minus 8, plus 6, minus 2, plus 5 means that under 8 and up 6 I am in the minus 2.

213
00:20:13,839 --> 00:20:18,180
Under 2 I am in the minus 4 and up 5 I am in the plus 1.

214
00:20:20,920 --> 00:20:24,799
A simpler way to see it, when I have them written.

215
00:20:33,450 --> 00:20:34,329
Define that.

216
00:20:35,809 --> 00:20:38,150
It's another way to do it, there it is.

217
00:20:38,150 --> 00:20:48,910
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

218
00:20:48,910 --> 00:20:56,809
minus 10 plus 11 minus 10 is 1 that is the second way when I have very small numbers I can

219
00:20:56,809 --> 00:21:02,089
do them as a sum of ascents or when the numbers are very large it is convenient for me to group

220
00:21:02,089 --> 00:21:07,369
positives on one side to group negatives on the other to make the difference and put the sign of

221
00:21:07,369 --> 00:21:09,450
bigger. Has it been clear?

222
00:21:15,450 --> 00:21:17,410
I think it's better

223
00:21:17,410 --> 00:21:18,150
if you stay there.

224
00:21:18,990 --> 00:21:20,309
Okay, let's see.

225
00:21:21,289 --> 00:21:23,430
Let's now do the

226
00:21:23,430 --> 00:21:25,269
next one. It's very important

227
00:21:25,269 --> 00:21:27,329
to know well the

228
00:21:27,329 --> 00:21:28,150
sum of ascents.

229
00:21:28,849 --> 00:21:31,369
It's important to manage well

230
00:21:31,369 --> 00:21:33,309
the sum of ascents of up, down,

231
00:21:33,430 --> 00:21:35,049
up, down. All

232
00:21:35,049 --> 00:21:36,490
the operations

233
00:21:36,490 --> 00:21:45,730
combinations of zeros always end up in a sum and we cannot do that with removing double

234
00:21:45,730 --> 00:21:53,250
signs, removing double signs is one thing, making sums of extensors is another, I only group and put the

235
00:21:53,250 --> 00:21:58,809
sign of what is left in the sums of extensors and always all the operations combined end up

236
00:21:58,809 --> 00:22:04,410
in a sum of extensors, then what we are going to do in the next one is to remove the double

237
00:22:04,410 --> 00:22:10,849
signos para ver qué suma de ascensor me quedaría y entonces ya la puedo hacer

238
00:22:10,849 --> 00:22:17,609
diego quítame los dobles signos podría hacer el doble signo

239
00:22:17,609 --> 00:22:24,109
del menos 9 que me va a quedar porque

240
00:22:24,289 --> 00:22:30,130
porque es un más lo que tengo delante si no pone nada siempre es un más y

241
00:22:30,130 --> 00:22:32,569
So, with the plus sign, I have the sign that I have.

242
00:22:33,089 --> 00:22:34,450
Plus and minus is minus.

243
00:22:38,650 --> 00:22:40,349
Now I have here another double sign.

244
00:22:40,509 --> 00:22:41,170
What am I going to have?

245
00:22:42,029 --> 00:22:42,430
Plus.

246
00:22:42,569 --> 00:22:44,630
Because as it is a plus, I have what I have.

247
00:22:46,089 --> 00:22:48,029
And now I have here another double sign.

248
00:22:48,250 --> 00:22:48,990
What am I going to have?

249
00:22:50,150 --> 00:22:50,549
Plus.

250
00:22:50,549 --> 00:22:52,809
Because as it is a plus, I have what I have.

251
00:22:53,170 --> 00:22:54,509
I already have my sum of the ascensor.

252
00:22:56,250 --> 00:22:56,930
How much does it give?

253
00:22:58,309 --> 00:22:59,009
Minus one.

254
00:22:59,789 --> 00:23:01,910
Because plus seven plus one is plus eight.

255
00:23:02,150 --> 00:23:05,069
And minus 9, minus 9, so minus 1.

256
00:23:07,490 --> 00:23:08,009
Okay?

257
00:23:09,009 --> 00:23:10,990
Are you writing them down on the sheet I gave you?

258
00:23:11,450 --> 00:23:12,450
Are you writing them down?

259
00:23:13,029 --> 00:23:14,490
And what are you waiting for?

260
00:23:14,809 --> 00:23:16,589
I mean, you're not here drinking tea.

261
00:23:17,890 --> 00:23:18,410
But...

262
00:23:18,410 --> 00:23:20,490
You have to write it down like this.

263
00:23:25,940 --> 00:23:27,339
I wrote down the first one.

264
00:23:27,339 --> 00:23:39,750
What is important is to learn to see the terms, do you see it?

265
00:23:40,609 --> 00:23:43,910
The sign in front of the number, so the sign with the number is a term.

266
00:23:44,730 --> 00:23:45,890
Let's go with the one below.

267
00:23:46,809 --> 00:23:48,730
Here I have a double sign, what will I get?

268
00:23:50,109 --> 00:23:51,369
Negative, minus 8.

269
00:23:51,769 --> 00:23:53,710
Here I have another double sign, what will I get?

270
00:23:54,809 --> 00:23:56,009
Positive, plus 8.

271
00:23:56,009 --> 00:23:58,009
And here I have another double sign, what will I get?

272
00:23:58,829 --> 00:24:00,809
Plus 2, because they are equal signs.

273
00:24:01,210 --> 00:24:02,009
¿Cuánto va a dar?

274
00:24:02,210 --> 00:24:02,650
Más 2.

275
00:24:02,990 --> 00:24:04,410
¿Por qué lo sabes tan rápido, Marta?

276
00:24:05,509 --> 00:24:08,470
Porque menos 8 más 8 es 0 y suma 2.

277
00:24:08,509 --> 00:24:09,150
Ahí está.

278
00:24:09,569 --> 00:24:13,410
Lo bueno es que si yo trabajo bien con enteros y he entendido cómo funcionan,

279
00:24:13,910 --> 00:24:15,589
en las sumas los puedo cancelar.

280
00:24:16,009 --> 00:24:19,410
Y entonces, yo sé que si yo bajo 8 y subo 8 no hago nada.

281
00:24:20,369 --> 00:24:22,390
Así que, ¿para qué lo voy a operar?

282
00:24:22,670 --> 00:24:24,450
Opero solo y más 2 que me queda detrás.

283
00:24:25,650 --> 00:24:26,390
¿Lo entendemos?

284
00:24:26,829 --> 00:24:27,150
Sí.

285
00:24:27,549 --> 00:24:28,029
¿Todos?

286
00:24:28,210 --> 00:24:28,609
Sí.

287
00:24:29,309 --> 00:24:30,210
Vamos a la de abajo.

288
00:24:30,210 --> 00:24:32,210
Do you do it, please?

289
00:24:32,210 --> 00:24:40,069
Come on

290
00:24:40,069 --> 00:24:42,069
Do we do that?

291
00:24:42,069 --> 00:24:44,069
Yes, the A

292
00:24:44,069 --> 00:24:46,069
I go minus 2

293
00:24:46,069 --> 00:24:48,069
No, no, you do it on the paper

294
00:24:48,069 --> 00:24:50,069
Great, then go with the A

295
00:24:50,069 --> 00:24:52,069
I am

296
00:24:52,069 --> 00:25:11,730
I am

297
00:25:11,730 --> 00:25:13,730
Positive, negative

298
00:25:13,730 --> 00:25:17,880
Ok

299
00:25:17,880 --> 00:25:19,880
But the double sign you have to take it off

300
00:25:19,880 --> 00:25:21,880
Ah, so

301
00:25:21,880 --> 00:25:23,880
Minus 8

302
00:25:23,880 --> 00:25:27,279
Ah, so like everything...

303
00:25:27,279 --> 00:25:28,599
Of course, because that's how you can...

304
00:25:28,599 --> 00:25:30,779
I know, I know, I know.

305
00:25:33,680 --> 00:25:34,779
Okay, how many is it?

306
00:25:35,960 --> 00:25:36,440
27.

307
00:25:36,680 --> 00:25:37,160
23.

308
00:25:38,380 --> 00:25:38,859
27.

309
00:25:39,279 --> 00:25:39,799
Let's see.

310
00:25:40,240 --> 00:25:43,099
I'll remove this double sign, because it's a plus and a plus.

311
00:25:43,279 --> 00:25:43,779
Plus 2.

312
00:25:45,119 --> 00:25:46,039
Minus and minus.

313
00:25:46,400 --> 00:25:47,200
Plus 9.

314
00:25:47,960 --> 00:25:48,880
Minus and minus.

315
00:25:49,140 --> 00:25:51,039
The opposite of minus 8 is plus 8.

316
00:25:51,039 --> 00:25:53,700
And the opposite of minus 8 is plus 8.

317
00:25:53,880 --> 00:25:57,700
So, in reality, I would have plus 2 plus 9 plus 8 plus 8.

318
00:25:58,099 --> 00:25:59,380
Why do I know that they are 27?

319
00:26:00,039 --> 00:26:00,940
Valeria, how did you do it?

320
00:26:05,720 --> 00:26:06,500
How did you add them?

321
00:26:07,220 --> 00:26:08,960
Adding 8 plus 8, 9 plus 9.

322
00:26:09,740 --> 00:26:10,900
Okay, 8 plus 8, 16.

323
00:26:11,039 --> 00:26:11,839
9 plus 2, 11.

324
00:26:12,160 --> 00:26:12,559
27.

325
00:26:12,900 --> 00:26:13,920
Another simpler way.

326
00:26:17,220 --> 00:26:21,819
Look, this plus 2 here, I can divide it with a 1 here and a 1 here.

327
00:26:22,759 --> 00:26:28,140
9 times 3, 27.

328
00:26:32,079 --> 00:26:32,400
Okay?

329
00:26:33,059 --> 00:26:34,319
The next one, come on, do you do it?

330
00:26:35,140 --> 00:26:46,079
¿El 3 te lo voy haciendo o no?

331
00:26:46,599 --> 00:26:47,019
Sí, sí.

332
00:26:54,210 --> 00:26:54,930
¿Cuántos da?

333
00:26:55,609 --> 00:26:55,930
¿La B?

334
00:26:56,109 --> 00:26:56,630
4.

335
00:26:57,549 --> 00:26:58,670
¿4 o menos 4?

336
00:26:58,849 --> 00:26:59,410
Más 4.

337
00:27:01,609 --> 00:27:02,410
¡Qué dudas!

338
00:27:02,849 --> 00:27:03,509
Vamos a ver.

339
00:27:04,430 --> 00:27:06,470
Esto me queda más 4.

340
00:27:07,029 --> 00:27:08,089
Voy a quitar aquí.

341
00:27:11,140 --> 00:27:12,059
Menos 7.

342
00:27:12,220 --> 00:27:12,700
Muy bien.

343
00:27:12,859 --> 00:27:13,660
Menos 2.

344
00:27:13,920 --> 00:27:14,880
Menos 2.

345
00:27:15,000 --> 00:27:15,519
Más 1.

346
00:27:15,599 --> 00:27:16,220
Más 1.

347
00:27:16,319 --> 00:27:17,720
Ya tengo mi suma de ascensor.

348
00:27:18,380 --> 00:27:19,700
Así que...

349
00:27:21,880 --> 00:27:23,359
4 menos 7 menos 3.

350
00:27:23,480 --> 00:27:24,980
Menos 3 menos 2 menos 5.

351
00:27:24,980 --> 00:28:04,480
minus 5 plus 1? Minus 4. The next one. How many does it give you? Let's see, Jenny, what do I write?

352
00:28:05,119 --> 00:28:16,240
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.

353
00:28:16,240 --> 00:28:18,220
¿Cuánto da?

354
00:28:28,519 --> 00:28:29,000
Mira.

355
00:28:30,339 --> 00:28:30,819
Mira.

356
00:28:32,700 --> 00:28:34,380
Yo haría el truco de agrupar.

357
00:28:37,720 --> 00:28:40,279
Dos y tres son cinco, con el menos cinco se va a cero.

358
00:28:42,599 --> 00:28:43,779
Así que, ¿qué me va a quedar?

359
00:28:45,240 --> 00:28:46,099
Menos nueve.

360
00:28:51,019 --> 00:28:52,759
Y este último, venga.

361
00:29:09,480 --> 00:29:10,119
¿Cuánto da?

362
00:29:10,119 --> 00:29:20,920
minus 21 because I know the same trick as before minus 1 minus 1 and minus 5 are minus 7 minus 7 three

363
00:29:20,920 --> 00:29:33,950
times is minus 21 then minus 7 times 3 is minus 21 go the rule of the signs also works

364
00:29:33,950 --> 00:29:45,779
con las multiplicaciones evidentemente si yo tengo una multiplicación

365
00:29:45,779 --> 00:29:49,619
si yo tengo una multiplicación estoy multiplicando por el número pero también

366
00:29:49,619 --> 00:29:53,579
estoy aplicando el factor del signo entonces si por ejemplo yo quiero

367
00:29:53,579 --> 00:30:02,039
multiplicar el 3 por el menos 2 lo que estoy haciendo es el menos 23 veces por

368
00:30:02,039 --> 00:30:08,640
tanto si yo hago el menos 23 veces que me va a quedar menos 6 por tanto

369
00:30:08,640 --> 00:30:10,700
un más por un menos

370
00:30:10,700 --> 00:30:12,880
vuelve a dar menos, igual que antes

371
00:30:12,880 --> 00:30:16,500
si yo multiplico

372
00:30:16,500 --> 00:30:18,660
el 3 por el 2

373
00:30:18,660 --> 00:30:20,500
lo tengo fácil, sé que es 6

374
00:30:20,500 --> 00:30:22,259
luego un más por un más

375
00:30:22,259 --> 00:30:23,720
me va a dar más

376
00:30:23,720 --> 00:30:27,140
¿eh?

377
00:30:28,880 --> 00:30:30,700
sí, sí, pero esta fórmula

378
00:30:30,700 --> 00:30:32,180
no viene de la nada, viene de

379
00:30:32,180 --> 00:30:34,579
razonar de que el menos es el opuesto

380
00:30:34,579 --> 00:30:36,640
entonces, la conmutativa

381
00:30:36,640 --> 00:30:38,460
existe, por tanto, si más

382
00:30:38,460 --> 00:30:45,720
for less is less less for more it will also be less what is the other one that is a little complicated

383
00:30:45,720 --> 00:30:54,299
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

384
00:30:54,299 --> 00:31:23,029
minus 2 is 6 with the negative because we have done it up here I take it then if I remember

385
00:31:23,029 --> 00:31:32,390
el significado del opuesto el opuesto de menos 6 quienes el más 6 así que cuando

386
00:31:32,390 --> 00:31:36,089
yo tengo un signo menos operado con otro signo menos como estoy haciendo el

387
00:31:36,089 --> 00:31:40,250
opuesto de un negativo que me va a quedar positivo pues no me tengo que

388
00:31:40,250 --> 00:31:44,750
aprender dos cosas lo mismo de antes si estoy multiplicando o dividiendo con

389
00:31:44,750 --> 00:31:52,349
signos iguales me quedará positivo y con signos distintos

390
00:31:52,349 --> 00:31:59,069
me quedará negativo y ya está igual que antes entonces los dobles signos y la

391
00:31:59,069 --> 00:32:02,849
multiplicación y la división funcionan igual que me tengo que acordar para

392
00:32:02,849 --> 00:32:11,069
multiplicar y dividir primero se operan los signos y luego se operan los números

393
00:32:11,069 --> 00:32:16,589
es decir primero se multiplican o dividen los signos luego se multiplican

394
00:32:16,589 --> 00:32:28,309
divide by the numbers that I have for example if they gave me minus minus 3 by 4

395
00:32:28,309 --> 00:32:39,539
by minus 1 how many signs do I have here

396
00:32:39,539 --> 00:32:54,940
Cuatro signos. ¿Qué signos tengo? El menos, el menos, solo signos. El más y el negativo.

397
00:32:55,940 --> 00:33:01,940
Primero signos, luego me olvido de los signos y opero los números. Menos por menos, ¿qué

398
00:33:01,940 --> 00:33:08,559
hemos dicho que da? Más. Más por más, ¿qué hemos dicho que da? Más. Más. Y el más

399
00:33:08,559 --> 00:33:13,059
for less that we have said that it gives less because the result is going to be

400
00:33:13,059 --> 00:33:18,759
negative and I already forget about the signs and I only have to multiply the 3

401
00:33:18,759 --> 00:33:26,970
by 4 and by the one that is going to give me

402
00:33:26,970 --> 00:33:30,309
minus 12

403
00:33:30,309 --> 00:33:34,410
it is very important please when we operate we multiply and divide

404
00:33:34,410 --> 00:33:40,990
whole first signs and then numbers

405
00:33:40,990 --> 00:33:45,470
first signs and then numbers as many as there are

406
00:33:45,470 --> 00:34:03,589
we are going to try another

407
00:34:05,269 --> 00:34:09,710
I just want to erase this

408
00:34:10,030 --> 00:34:16,429
I don't know what's going on here that is giving me

409
00:34:17,289 --> 00:34:54,280
guys guys guys please okay let's see

410
00:34:54,280 --> 00:34:58,360
Vamos a ir a la primera operación.

411
00:34:58,900 --> 00:35:00,219
¿Qué tenemos en el A?

412
00:35:02,599 --> 00:35:07,539
Tengo menos 5 y le quiero agrupar con una multiplicación.

413
00:35:07,800 --> 00:35:10,619
¿Qué se me hace antes, las agrupaciones o las multiplicaciones?

414
00:35:11,340 --> 00:35:11,940
Agrupación.

415
00:35:12,320 --> 00:35:13,039
Digo...

416
00:35:13,039 --> 00:35:14,940
Las multiplicaciones.

417
00:35:15,400 --> 00:35:19,119
Eso significa que yo voy a multiplicar todo esto primero.

418
00:35:20,460 --> 00:35:21,059
¿Vale?

419
00:35:21,719 --> 00:35:23,199
Entonces, ¿qué es lo primero que tengo?

420
00:35:23,519 --> 00:35:23,940
Menos 5.

421
00:35:23,940 --> 00:35:27,059
Can you leave your cell phone, please, since you are in a class?

422
00:35:28,400 --> 00:35:29,159
Do you keep it?

423
00:35:30,780 --> 00:35:31,380
Thank you.

424
00:35:32,440 --> 00:35:33,159
Let's see.

425
00:35:33,400 --> 00:35:34,219
First, what?

426
00:35:35,659 --> 00:35:39,340
I copy the "-5", just as we did in the combined operations.

427
00:35:41,500 --> 00:35:44,159
And now I'm going to operate this multiplication.

428
00:35:44,159 --> 00:35:48,880
And we have said, first, signs, and then, numbers.

429
00:35:49,539 --> 00:35:49,820
Okay?

430
00:35:50,019 --> 00:35:51,320
Let's see what signs I have.

431
00:35:51,780 --> 00:35:52,679
What sign do I have here?

432
00:35:52,679 --> 00:36:09,780
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.

433
00:36:09,780 --> 00:36:13,099
Y ya me olvido del signo y solo hago la operación de los números.

434
00:36:14,039 --> 00:36:16,199
Uno por uno, uno.

435
00:36:17,239 --> 00:36:19,039
Y ya estoy en mi suma de ascensor.

436
00:36:19,280 --> 00:36:24,460
¡Ojo! Las sumas de ascensores no llevan regla de signos.

437
00:36:24,840 --> 00:36:27,079
No se hace menos por menos, es una suma de ascensor.

438
00:36:27,460 --> 00:36:28,239
Solo agrupo.

439
00:36:28,659 --> 00:36:31,679
Si estoy en el menos cinco y bajo uno, ¿dónde estoy?

440
00:36:31,820 --> 00:36:33,599
En el menos seis.

441
00:36:33,880 --> 00:36:35,059
En el menos seis.

442
00:36:36,139 --> 00:36:38,079
Ah, he escuchado cuatro y digo...

443
00:36:38,079 --> 00:36:38,659
¿Ha quedado claro?

444
00:36:39,780 --> 00:36:44,659
It's a sum of ascents, minus 5 minus 1 is minus 6, not more than 6.

445
00:36:45,360 --> 00:36:52,179
The rule of the signs only makes sense with the multiplication and with the division, or with the double signs.

446
00:36:52,539 --> 00:36:54,320
The sums of ascents, no.

447
00:36:56,260 --> 00:36:57,519
Let's go to the next one.

448
00:36:57,699 --> 00:37:00,679
What can I do first? What do I have to do first, Diego?

449
00:37:04,380 --> 00:37:04,860
Diego.

450
00:37:06,739 --> 00:37:08,239
But what am I going to operate?

451
00:37:08,239 --> 00:37:12,920
La división. ¿Cuántos signos tengo en la división?

452
00:37:13,139 --> 00:37:13,519
Dos.

453
00:37:13,880 --> 00:37:14,059
¿No?

454
00:37:14,820 --> 00:37:15,420
Tres.

455
00:37:16,320 --> 00:37:18,679
Tres. Vale, ¿qué signos tengo?

456
00:37:19,280 --> 00:37:19,920
Menos.

457
00:37:20,400 --> 00:37:21,039
Menos.

458
00:37:22,320 --> 00:37:22,960
Menos.

459
00:37:23,719 --> 00:37:24,639
Y menos.

460
00:37:26,480 --> 00:37:27,519
¿Menos por menos?

461
00:37:28,219 --> 00:37:28,760
Más.

462
00:37:28,900 --> 00:37:29,639
¿Y el más por menos?

463
00:37:29,900 --> 00:37:30,260
Menos.

464
00:37:30,460 --> 00:37:34,719
El resultado va a ser negativo, entonces voy a copiar hasta ahí, pondré menos uno,

465
00:37:34,719 --> 00:37:39,760
y ahora la operación de los signos me dará menos por menos más más por menos

466
00:37:39,760 --> 00:37:48,320
menos y tres entre tres muy bien menos uno menos uno menos dos no me hagas la

467
00:37:48,320 --> 00:37:55,079
regla de los signos es ahí donde se equivocan por eso ha

468
00:37:55,079 --> 00:38:00,500
quedado claro bien que hago ahora valeria en la siguiente operación que

469
00:38:00,500 --> 00:38:02,500
What should I do first?

470
00:38:02,500 --> 00:38:10,800
Can you do the multiplication?

471
00:38:10,800 --> 00:38:12,800
Why?

472
00:38:12,800 --> 00:38:17,719
That's it.

473
00:38:17,719 --> 00:38:19,719
Phenomenal.

474
00:38:19,719 --> 00:38:21,719
You have to do the operation of the parenthesis.

475
00:38:21,719 --> 00:38:23,719
I don't know what to do.

476
00:38:23,719 --> 00:38:25,719
Ok? Ok? Ok?

477
00:38:25,719 --> 00:38:27,719
Ok?

478
00:38:27,719 --> 00:38:29,719
Let's soften it a bit.

479
00:38:29,719 --> 00:38:31,719
Ok.

480
00:38:31,719 --> 00:38:33,719
You have to do the operation of the parenthesis.

481
00:38:33,719 --> 00:38:35,719
Then I'll copy everything.

482
00:38:35,719 --> 00:38:37,719
What would you write then, Valeria?

483
00:38:37,719 --> 00:38:41,719
6 and now listen, can you do the double sign of 7?

484
00:38:41,719 --> 00:38:46,719
Of course I can. I can also do this double sign, so what would you write?

485
00:38:46,719 --> 00:38:47,719
7.

486
00:38:47,719 --> 00:38:57,059
Very good, plus 7, followed by?

487
00:38:57,059 --> 00:39:01,550
Minus 8.

488
00:39:01,550 --> 00:39:04,550
Very good, minus 8.

489
00:39:04,550 --> 00:39:11,550
And look, look Gerson, I have two signs, that's what you were asking before, one for and one minus.

490
00:39:11,550 --> 00:39:13,550
Can they be together?

491
00:39:13,550 --> 00:39:14,550
No.

492
00:39:14,550 --> 00:39:27,250
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.

493
00:39:27,250 --> 00:39:30,250
Has it been clear? Tell me.

494
00:39:30,250 --> 00:39:39,250
Now, what would I do? Raquel, what can I do here in this operation?

495
00:39:39,250 --> 00:39:44,690
No, what can I do? Between grouping and multiplying, what do you do?

496
00:39:45,889 --> 00:39:48,269
Well, first I have to do the multiplication.

497
00:39:50,210 --> 00:39:52,030
That's it. So, what am I going to write?

498
00:39:52,929 --> 00:39:55,489
No, first I have to copy what I have.

499
00:39:56,690 --> 00:39:59,690
And now, yes, I operate signs and then numbers.

500
00:40:00,690 --> 00:40:01,210
Minus.

501
00:40:04,960 --> 00:40:05,400
Quiet.

502
00:40:07,179 --> 00:40:07,619
Great.

503
00:40:07,619 --> 00:40:28,849
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.

504
00:40:28,849 --> 00:40:33,639
¿Qué harías primero?

505
00:40:39,150 --> 00:40:41,730
¿Pero qué harías primero antes de dictarme?

506
00:40:43,250 --> 00:40:43,809
¿Cuál?

507
00:40:46,110 --> 00:40:50,210
¿No puedes hacer la división si no sabes entre qué divides?

508
00:40:50,989 --> 00:40:51,530
Eso es.

509
00:40:52,469 --> 00:40:53,769
Y eso es, genial.

510
00:40:53,949 --> 00:40:55,690
Y también puedes hacer este doble signo.

511
00:40:56,090 --> 00:40:57,650
Entonces, dime qué escribirías, a ver.

512
00:41:00,690 --> 00:41:01,570
Muy bien.

513
00:41:02,050 --> 00:41:02,630
¿Sí?

514
00:41:04,289 --> 00:41:04,889
Genial.

515
00:41:06,730 --> 00:41:08,510
¿Y ahora qué operarías?

516
00:41:10,989 --> 00:41:13,789
Dime qué términos vas a dividir.

517
00:41:14,929 --> 00:41:16,989
Más 15 entre más 15.

518
00:41:17,610 --> 00:41:18,610
Eso es lo importante.

519
00:41:18,929 --> 00:41:21,849
Por eso os he dicho, es importante discriminar los términos.

520
00:41:22,469 --> 00:41:24,510
Sí, se llama así, discriminar.

521
00:41:24,769 --> 00:41:26,230
Discriminar es diferenciar.

522
00:41:26,530 --> 00:41:27,889
Diferenciar los términos.

523
00:41:28,289 --> 00:41:30,690
Diferenciar qué dos términos estoy operando.

524
00:41:30,690 --> 00:41:35,090
y el signo va con el número así que los términos que estoy operando son más 15

525
00:41:35,090 --> 00:41:41,010
entre más 15 vale por tanto que me quedaría

526
00:41:41,010 --> 00:41:49,449
el menos 2 lo copio más por más entre más más y 15 entre 15 1 muy bien menos

527
00:41:49,449 --> 00:41:53,349
2 más 1 menos 1

528
00:41:53,349 --> 00:41:58,769
ojo que ese menos 1 no viene de la regla de los signos si yo pusiera menos 2 más

529
00:41:58,769 --> 00:42:10,170
8 would give me plus 6. Is it clear? All of you? Well, the one below comes out.

530
00:42:10,170 --> 00:42:22,170
No, plus 15, between 15, it's an entre. Okay, next one. Willy, cheer up. Here, what would you do in this one?

531
00:42:22,170 --> 00:42:27,010
Ah, primero tengo que sumar, ¿no?

532
00:42:27,949 --> 00:42:29,369
Muy bien, muy bien, muy bien.

533
00:42:29,929 --> 00:42:30,449
Agrupar.

534
00:42:30,710 --> 00:42:31,510
Ya no hablamos de...

535
00:42:31,510 --> 00:42:32,170
Porfa.

536
00:42:33,809 --> 00:42:35,070
¿Podéis parar un segundo?

537
00:42:35,250 --> 00:42:36,309
Darla, por favor.

538
00:42:38,110 --> 00:42:38,409
Vale.

539
00:42:38,809 --> 00:42:39,110
A ver.

540
00:42:39,469 --> 00:42:39,969
Muy bien.

541
00:42:40,150 --> 00:42:42,909
No hablo ya de sumar, porque ya no es sumas o restas.

542
00:42:43,090 --> 00:42:44,130
Agrupo directamente.

543
00:42:44,730 --> 00:42:47,489
Agrupo este paréntesis y agrupo este paréntesis.

544
00:42:47,690 --> 00:42:48,590
Entonces, ¿qué me va a quedar?

545
00:42:48,590 --> 00:42:52,369
Y también hay otra cosa que puedes hacer.

546
00:42:52,889 --> 00:42:54,489
O sea, tengo que poner menos 4.

547
00:42:54,849 --> 00:42:55,190
Sí.

548
00:42:56,150 --> 00:42:59,349
A menos 24.

549
00:43:00,090 --> 00:43:02,329
Eso es, estás agrupando este doble signo.

550
00:43:03,030 --> 00:43:03,429
Muy bien.

551
00:43:03,510 --> 00:43:05,789
A menos 24 dividido.

552
00:43:06,010 --> 00:43:06,349
Sí.

553
00:43:07,030 --> 00:43:09,530
Espera, a menos 8.

554
00:43:09,710 --> 00:43:09,889
Sí.

555
00:43:10,670 --> 00:43:11,869
¿Y qué tengo que añadir?

556
00:43:12,730 --> 00:43:13,289
Más.

557
00:43:13,690 --> 00:43:14,429
Ahora, ¿no?

558
00:43:14,670 --> 00:43:15,809
No, primero el menos.

559
00:43:16,110 --> 00:43:16,469
A eso.

560
00:43:17,650 --> 00:43:18,210
¿Y aquí?

561
00:43:18,590 --> 00:43:21,349
It would be plus...

562
00:43:21,349 --> 00:43:22,250
Minus 1, minus 2?

563
00:43:23,670 --> 00:43:24,489
Minus 3.

564
00:43:24,750 --> 00:43:25,210
Minus 3.

565
00:43:25,730 --> 00:43:26,789
Okay, what do you see?

566
00:43:27,809 --> 00:43:28,489
What's missing?

567
00:43:28,789 --> 00:43:29,690
The division.

568
00:43:30,070 --> 00:43:31,110
No, there are things missing.

569
00:43:32,250 --> 00:43:33,650
Parenthesis in the minus 3?

570
00:43:35,710 --> 00:43:36,269
Only?

571
00:43:37,269 --> 00:43:38,809
And in the minus 8?

572
00:43:39,710 --> 00:43:42,329
Because there can't be two signs together.

573
00:43:42,329 --> 00:43:50,570
Y ahora, ¿qué podría operar?

574
00:43:53,780 --> 00:43:55,860
Vale, ¿qué dos números divides, Arón?

575
00:43:59,059 --> 00:44:01,679
Menos 24 entre menos 8.

576
00:44:01,920 --> 00:44:02,239
¡Ojo!

577
00:44:03,079 --> 00:44:04,920
¿Y qué otra cosa puede operar también?

578
00:44:05,980 --> 00:44:07,960
El signo de menos delante del menos 3.

579
00:44:08,500 --> 00:44:09,440
El doble signo.

580
00:44:09,840 --> 00:44:10,820
Eso se llama el doble signo.

581
00:44:10,900 --> 00:44:12,579
El doble signo del 3.

582
00:44:13,320 --> 00:44:14,300
Entonces, ¿qué me quedaría?

583
00:44:15,420 --> 00:44:16,400
Menos 4.

584
00:44:16,400 --> 00:44:17,380
Menos 4.

585
00:44:17,519 --> 00:44:17,860
Más.

586
00:44:17,860 --> 00:44:18,300
Más.

587
00:44:18,320 --> 00:44:21,579
Más, porque menos por menos es más.

588
00:44:21,599 --> 00:44:22,699
Más cuatro, más tres.

589
00:44:23,760 --> 00:44:25,260
¿Veinticuatro entre ocho?

590
00:44:25,679 --> 00:44:26,059
¿Cuatro?

591
00:44:26,519 --> 00:44:26,760
No.

592
00:44:27,079 --> 00:44:27,260
No.

593
00:44:27,760 --> 00:44:28,400
Tres.

594
00:44:28,679 --> 00:44:29,119
Tres.

595
00:44:30,119 --> 00:44:32,099
¿Y ahora, menos por menos?

596
00:44:32,519 --> 00:44:32,860
Más.

597
00:44:33,320 --> 00:44:34,320
Pues más tres.

598
00:44:34,619 --> 00:44:35,420
¿Qué me va a dar?

599
00:44:35,719 --> 00:44:36,340
Menos dos.

600
00:44:36,599 --> 00:44:36,800
No.

601
00:44:36,880 --> 00:44:37,320
Digo dos.

602
00:44:37,760 --> 00:44:38,099
Dos.

603
00:44:38,380 --> 00:44:39,059
Más dos.

604
00:44:39,719 --> 00:44:41,699
Más tres, más tres son más seis.

605
00:44:42,239 --> 00:44:43,780
Más seis menos cuatro son dos.

606
00:44:43,780 --> 00:44:45,059
Es que veo el menos y digo menos.

607
00:44:45,059 --> 00:44:50,059
Are you ready?

608
00:44:50,059 --> 00:44:51,059
Me?

609
00:44:51,059 --> 00:44:54,059
Yes, come on.

610
00:44:54,059 --> 00:44:59,059
Aaron, please, can you lower and soften the rhythm?

611
00:44:59,059 --> 00:45:01,059
Can you?

612
00:45:01,059 --> 00:45:02,059
Please?

613
00:45:02,059 --> 00:45:03,059
Thank you.

614
00:45:03,059 --> 00:45:05,059
Let's see.

615
00:45:05,059 --> 00:45:09,690
Okay.

616
00:45:09,690 --> 00:45:11,690
Oh, plus seven.

617
00:45:11,690 --> 00:45:12,690
Yes?

618
00:45:12,690 --> 00:45:14,690
Well, first I have to say what is done first, right?

619
00:45:14,690 --> 00:45:15,690
Okay.

620
00:45:15,690 --> 00:45:33,690
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.

621
00:45:33,690 --> 00:46:05,039
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,

622
00:46:05,059 --> 00:46:06,059
The moment of glory?

623
00:46:06,059 --> 00:46:07,059
Yes, the moment of glory.

624
00:46:07,059 --> 00:46:08,059
Okay.

625
00:46:08,059 --> 00:46:09,059
Minus...

626
00:46:09,059 --> 00:46:10,059
And here?

627
00:46:10,059 --> 00:46:11,059
Minus 5.

628
00:46:11,059 --> 00:46:13,059
And what do you have to put?

629
00:46:13,059 --> 00:46:14,059
Parenthesis.

630
00:46:14,059 --> 00:46:15,059
Very good.

631
00:46:15,059 --> 00:46:19,059
And now, what are you going to do?

632
00:46:19,059 --> 00:46:21,059
Well, the parentheses.

633
00:46:21,059 --> 00:46:23,059
In plan, minus, minus 5.

634
00:46:23,059 --> 00:46:26,059
The double sign of the minus 5.

635
00:46:26,059 --> 00:46:29,059
And well, 5 times minus 5.

636
00:46:29,059 --> 00:46:32,059
What terms are you going to divide?

637
00:46:32,059 --> 00:46:33,059
Well, that.

638
00:46:33,059 --> 00:46:34,059
No.

639
00:46:34,059 --> 00:46:36,619
Eso es, muy bien

640
00:46:36,619 --> 00:46:38,719
Menos 5 entre menos 5, entonces, ¿qué me queda?

641
00:46:39,260 --> 00:46:40,219
Pues más 7

642
00:46:40,219 --> 00:46:43,760
Sí, recuerda, primeros signos, luego números

643
00:46:43,760 --> 00:46:45,800
Pues eso, menos 1

644
00:46:45,800 --> 00:46:47,420
No, menos por menos

645
00:46:47,420 --> 00:46:48,519
Más, más, más

646
00:46:48,519 --> 00:46:50,519
Más, más, más, más 1

647
00:46:50,519 --> 00:46:53,360
Y más 5

648
00:46:53,360 --> 00:46:54,500
Eso es

649
00:46:54,500 --> 00:46:56,320
Así que, 13

650
00:46:56,320 --> 00:46:58,239
Y ya, muy bien

651
00:46:58,239 --> 00:47:00,800
Sí, puedes hacer la siguiente, venga

652
00:47:00,800 --> 00:47:18,699
No, you have to copy it all.

653
00:47:20,360 --> 00:47:21,480
Dictate me from the beginning.

654
00:47:21,780 --> 00:47:24,019
It's very good that you've seen what you have to do.

655
00:47:24,300 --> 00:47:26,440
But when you write, you have to write from the beginning.

656
00:47:30,800 --> 00:47:52,440
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?

657
00:47:52,440 --> 00:47:58,500
One by one, what does it give you? One, great, and now what are you going to solve?

658
00:47:58,500 --> 00:48:04,460
Now, well, that gives me 6.

659
00:48:04,800 --> 00:48:06,860
Okay, the cork, right?

660
00:48:07,480 --> 00:48:08,599
Okay, so what would you write?

661
00:48:08,800 --> 00:48:09,500
Minus 6.

662
00:48:09,699 --> 00:48:14,800
Minus 6, minus, and the result of plus 7 minus 1?

663
00:48:15,039 --> 00:48:16,380
It's minus 7, it would be positive.

664
00:48:16,760 --> 00:48:17,860
Plus 7 minus 1?

665
00:48:19,860 --> 00:48:20,340
No.

666
00:48:20,340 --> 00:48:23,679
It's not a rule of signs, it's a sum of ascents, plus 7 minus 1.

667
00:48:24,699 --> 00:48:27,659
If you go up 7 and go down 1?

668
00:48:28,659 --> 00:48:29,059
6.

669
00:48:29,059 --> 00:48:33,000
Si subes siete pisos, ¿dónde estás? En el más siete.

670
00:48:33,380 --> 00:48:36,460
¿Y si bajas uno? En el seis.

671
00:48:36,920 --> 00:48:39,679
Más seis. Así que lo separo.

672
00:48:40,159 --> 00:48:43,920
Y ahora ya hago este doble signo de aquí.

673
00:48:44,659 --> 00:48:46,559
Menos seis, menos seis.

674
00:48:47,280 --> 00:48:49,059
¿Cuánto te da menos seis, menos seis?

675
00:48:51,119 --> 00:48:51,980
Muy bien.

676
00:48:54,110 --> 00:48:57,030
¿Has visto dónde te trababas? Ten cuidado con eso.

677
00:48:57,269 --> 00:49:00,250
Sumas de ascensor no son reglas de signos, ¿vale?

678
00:49:00,250 --> 00:49:09,030
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.

679
00:49:12,690 --> 00:49:18,690
Aaron, please, can you stop? I don't care. Go on, Marta.

680
00:49:22,690 --> 00:49:28,449
Okay, what you're going to do then is this first. Okay, well, tell me.

681
00:49:30,250 --> 00:49:33,550
Más siete, más, por favor, que no se oye.

682
00:49:35,590 --> 00:49:36,550
Más siete.

683
00:49:40,630 --> 00:49:42,610
Más, corchete, muy bien.

684
00:49:44,989 --> 00:49:45,909
Más uno.

685
00:49:48,309 --> 00:49:51,750
Vamos a ver, menos por más, ¿cuánta es la operación de los signos?

686
00:49:52,170 --> 00:49:53,150
Menos por más, menos.

687
00:49:55,250 --> 00:49:59,949
No, porque eran menos por más, menos, y menos por más.

688
00:50:00,250 --> 00:50:07,559
Minus, very good. And now? 10 divided by 5, 2. Very good.

689
00:50:08,300 --> 00:50:10,340
So, what will you write? What are you going to do now?

690
00:50:12,380 --> 00:50:13,199
The cork.

691
00:50:13,539 --> 00:50:15,679
The cork, great. And what are we going to write?

692
00:50:16,079 --> 00:50:16,760
Plus 7.

693
00:50:16,940 --> 00:50:17,619
Plus 7.

694
00:50:18,300 --> 00:50:18,719
Plus.

695
00:50:18,840 --> 00:50:19,320
Plus.

696
00:50:21,320 --> 00:50:26,510
If I raise 1 and lower 2?

697
00:50:27,449 --> 00:50:27,969
I raise 1.

698
00:50:28,030 --> 00:50:29,329
Very good. Like this?

699
00:50:30,289 --> 00:50:31,269
No, in parentheses.

700
00:50:31,269 --> 00:50:33,150
Muy bien, entre paréntesis.

701
00:50:33,349 --> 00:50:38,829
Con lo cual ahora tendré que quitar el doble signo de aquí.

702
00:50:39,630 --> 00:50:40,250
¿Y qué me va a quedar?

703
00:50:42,989 --> 00:50:43,909
Más 7.

704
00:50:45,530 --> 00:50:46,989
Menos 1, ¿qué es?

705
00:50:48,329 --> 00:50:49,130
Más 6.

706
00:50:49,369 --> 00:50:49,670
Muy bien.

707
00:50:51,190 --> 00:50:51,730
¿Ha quedado claro?

708
00:50:53,190 --> 00:50:53,710
¿Dudas?

709
00:51:00,400 --> 00:51:02,000
A ver, a ver, a ver, porfa.

710
00:51:02,400 --> 00:51:03,420
¿Dónde te has perdido, Jenny?

711
00:51:04,119 --> 00:51:08,659
¿Cuándo tengo que poner en paréntesis a los números?

712
00:51:08,920 --> 00:51:09,380
Por favor.

713
00:51:10,679 --> 00:51:12,760
¿Cuándo tengo que poner entre paréntesis a los números?

714
00:51:12,900 --> 00:51:14,199
Cuando tengo dos signos juntos.

715
00:51:14,639 --> 00:51:16,219
Yo no puedo tener dos signos juntos.

716
00:51:16,420 --> 00:51:19,539
Sí, sí, pero, o sea, el por qué tengo que...

717
00:51:19,539 --> 00:51:20,679
¿En cuál de ellas estás?

718
00:51:21,059 --> 00:51:22,260
En el último, por ejemplo.

719
00:51:22,300 --> 00:51:22,880
Vale, aquí.

720
00:51:23,179 --> 00:51:26,739
Sí, o sea, bueno...

721
00:51:26,739 --> 00:51:31,199
Cuando tú pones, cuando tú pones este más de aquí, lo pones aquí.

722
00:51:31,860 --> 00:51:32,079
Sí.

723
00:51:32,079 --> 00:51:39,760
but then the result of here gives you minus plus 1 minus 2 gives you minus 1 then

724
00:51:39,760 --> 00:51:45,519
notice that you have here and here two signs together you can't have them you have to

725
00:51:45,519 --> 00:51:51,760
separate them so that's why it is put in parentheses in minus 1 because it is plus minus 1

726
00:51:51,760 --> 00:51:55,760
And that process can be done automatically without putting it?

727
00:51:55,760 --> 00:51:57,760
Step by step?

728
00:51:57,760 --> 00:51:59,760
Without putting it.

729
00:51:59,760 --> 00:52:03,760
If you put me from the beginning to the end a 6, no.

730
00:52:03,760 --> 00:52:05,760
Because some intermediate step, I'm sure you have to ...

731
00:52:05,760 --> 00:52:10,760
No, but I say, the intermediate step, I mean, instead of putting plus 7 plus parentheses minus 1 ...

732
00:52:10,760 --> 00:52:14,760
Yes, from here to here, of course, if you have practice, of course you can pass.

733
00:52:14,760 --> 00:52:20,760
Yes, nothing happens, because you are already putting the sign directly from here of the operation, nothing happens.

734
00:52:20,760 --> 00:52:24,840
no pasa nada. O sea, tú estás haciendo el más uno menos dos y le estás añadiendo

735
00:52:24,840 --> 00:52:31,199
el más de delante. No pasa nada, ¿vale? Pero paso a paso, no me puedes poner la operación

736
00:52:31,199 --> 00:52:36,099
combinada y solo el resultado final porque es imposible. Ni yo lo hago. O sea, llevo

737
00:52:36,099 --> 00:52:44,380
muchos años trabajando con números. Vamos con el final, esta de aquí. Vamos a ver cómo

738
00:52:44,380 --> 00:52:52,019
lo haríamos. Fíjate que aquí ya tengo de todo. Entonces, tengo que mirar tranquilamente

739
00:52:52,019 --> 00:52:53,239
para ver qué puedo hacer.

740
00:52:53,340 --> 00:52:55,059
Diego, venga, ¿qué puedes hacer en el corchete?

741
00:52:57,199 --> 00:52:59,239
Dime qué términos multiplicarías.

742
00:53:02,750 --> 00:53:03,809
¿Te falta algo más?

743
00:53:06,260 --> 00:53:07,860
Y el no, y el más de delante.

744
00:53:08,460 --> 00:53:10,280
Tú puedes multiplicar todo esto.

745
00:53:10,780 --> 00:53:13,340
Entonces, el más por el más 8 y el menos 6,

746
00:53:13,440 --> 00:53:15,699
porque en realidad el más es como multiplicar por más 1.

747
00:53:17,139 --> 00:53:17,320
¿Vale?

748
00:53:17,900 --> 00:53:19,300
¿Qué otra cosa puedes hacer?

749
00:53:24,619 --> 00:53:27,659
El paréntesis de agrupar el menos 7 con el más 6.

750
00:53:27,739 --> 00:53:28,000
Muy bien.

751
00:53:28,159 --> 00:53:29,280
Entonces, ¿qué escribirías?

752
00:53:30,300 --> 00:53:40,260
Yes? Yes? Yes? Signs of multiplication, please sing it for me.

753
00:53:40,260 --> 00:53:49,230
And plus or minus? Of course, you do them all at the same time.

754
00:53:49,230 --> 00:53:59,420
And now? 6 times 8? 48.

755
00:53:59,420 --> 00:54:02,420
Ok. And now what do I have to copy?

756
00:54:02,420 --> 00:54:07,420
Minus. And now, minus 7 plus 6?

757
00:54:07,420 --> 00:54:13,300
What can I do now?

758
00:54:13,300 --> 00:54:21,389
What can you do?

759
00:54:21,389 --> 00:54:29,710
Here I have a sum of the ascensor but I can't do it until I remove the what?

760
00:54:29,710 --> 00:54:37,110
But it's not because I remove the parenthesis, what I operate is the double sign.

761
00:54:37,110 --> 00:54:40,110
This one here. So what would I have left?

762
00:54:40,110 --> 00:54:44,110
But it's not a parenthesis to operate.

763
00:54:44,110 --> 00:54:46,110
Because it's not a parenthesis of operation.

764
00:54:46,110 --> 00:54:48,110
It's just removing the double sign.

765
00:54:48,110 --> 00:55:06,480
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.

766
00:55:08,139 --> 00:55:09,639
And now, what do I have to do?

767
00:55:14,219 --> 00:55:15,059
The cork.

768
00:55:15,500 --> 00:55:17,559
So, I can do it with the commutative.

769
00:55:17,559 --> 00:55:20,380
now the commutative makes a lot of sense when we start to see the

770
00:55:20,380 --> 00:55:26,380
separate terms because now I know that my terms are plus 2 minus 48 and plus 1

771
00:55:26,380 --> 00:55:32,679
because I can do plus 2 and plus 1 which is plus 3 with minus 48 minus 45 has been

772
00:55:32,679 --> 00:55:40,480
clear with which I would have plus 4 plus minus 45 or directly as it is a plus

773
00:55:40,480 --> 00:55:47,619
put minus 45 it would give me the same take and put directly minus 45 that was

774
00:55:47,619 --> 00:55:53,199
before what they told me because I see it as I have one more in front of what I am going to

775
00:55:53,199 --> 00:55:57,719
give in the cork I stay with what I have in the cork and plus 4 minus 45

776
00:55:57,719 --> 00:55:58,420
minus 41

777
00:55:58,420 --> 00:56:03,559
minus 41

778
00:56:03,559 --> 00:56:05,119
¿vale?

779
00:56:09,300 --> 00:56:10,820
¿vas más? ¿te animas a hacer una?

780
00:56:11,639 --> 00:56:12,679
¿no? Raquel

781
00:56:12,679 --> 00:56:13,900
venga, dale

782
00:56:13,900 --> 00:56:16,360
¿sí?

783
00:56:21,019 --> 00:56:21,539
¿sí?

784
00:56:25,519 --> 00:56:26,039
no

785
00:56:26,039 --> 00:56:28,039
piensa primero qué vas a hacer

786
00:56:28,039 --> 00:56:29,840
por eso os digo que primero miréis la operación

787
00:56:29,840 --> 00:56:31,880
la división

788
00:56:31,880 --> 00:56:34,860
ojo que tienes un signo

789
00:56:34,860 --> 00:56:41,280
delante que también puedes operar claro y también tienes que hacer este

790
00:56:41,280 --> 00:56:47,960
corchete aquí entonces despacito estás aquí así que tienes que hacer no te

791
00:56:47,960 --> 00:56:50,980
queda antes de llegar ahí

792
00:56:51,099 --> 00:56:57,119
corchete que no se me puede olvidar menos 6 y ahora si opera tu signo que

793
00:56:57,119 --> 00:57:05,519
estaba deseosa más por menos menos no nos termina hay otros no no primero

794
00:57:05,519 --> 00:57:15,619
signs then numbers plus for less for less now and now 4 between 2

795
00:57:15,840 --> 00:57:18,480
2

796
00:57:19,480 --> 00:57:23,960
first signs then numbers that is super important multiplications and divisions

797
00:57:23,960 --> 00:57:29,760
first signs then numbers first signs then numbers here I have a minus that I can not

798
00:57:29,760 --> 00:57:36,750
operate and now plus 7 minus 5

799
00:57:38,369 --> 00:57:41,429
Very good, Ejerson, 2.

800
00:57:46,110 --> 00:57:50,570
And now, look, I can do it by touching the plus 2 and the minus 2,

801
00:57:50,650 --> 00:57:52,449
I would have a minus 6 and I change the sign.

802
00:57:52,449 --> 00:57:58,510
But I'm going to take the opportunity to tell you another way in which sometimes it is usually operated.

803
00:57:59,369 --> 00:58:06,869
We have said that if I have a minus, it means the opposite of, right?

804
00:58:06,869 --> 00:58:14,969
Pues ese menos delante del corchete significa el opuesto de todo lo que tengo dentro del corchete.

805
00:58:15,849 --> 00:58:20,050
Por tanto, yo podría escribir esto como este menos 2 de aquí,

806
00:58:20,710 --> 00:58:29,480
y ahora el opuesto de todo lo que tengo aquí dentro.

807
00:58:30,179 --> 00:58:30,639
¿Quién es?

808
00:58:31,119 --> 00:58:33,159
El opuesto de menos 6.

809
00:58:33,679 --> 00:58:36,579
Y ya pondría más 6, directamente.

810
00:58:37,519 --> 00:58:39,739
¿Quién es el opuesto de más 2?

811
00:58:39,739 --> 00:58:45,780
minus 2 and I would put the opposite of this directly and who is the opposite of

812
00:58:45,780 --> 00:58:52,039
minus 2 plus 2 and I have exactly the same that's why many times you have

813
00:58:52,039 --> 00:58:55,980
heard that a minus sign in front of a parenthesis changes the sign all the

814
00:58:55,980 --> 00:59:00,579
logical parenthesis a minus sign in front of a parenthesis is telling me that

815
00:59:00,579 --> 00:59:05,739
I have the opposite of what I have inside the parenthesis so if I have

816
00:59:05,739 --> 00:59:11,800
minus 6 plus 2 minus 2 I have left plus 6 minus 2 plus 2 which are the opposites of the

817
00:59:11,800 --> 00:59:17,860
parenthesis and now I already do my sum of ascensor that also as I know cancel it is super easy because

818
00:59:17,860 --> 00:59:29,239
I have left 4 plus 4 here this exercise after making the decision there is a minus and then there is

819
00:59:29,239 --> 00:59:31,099
Sí, el menos es este.

820
00:59:31,900 --> 00:59:32,500
No, no, no.

821
00:59:32,780 --> 00:59:33,059
Perdón.

822
00:59:34,380 --> 00:59:35,719
Dentro del corchete.

823
00:59:36,400 --> 00:59:36,920
O sea, sí.

824
00:59:37,300 --> 00:59:39,699
Después de esa división, ahí está el signo menos.

825
00:59:39,820 --> 00:59:44,659
Vale, pero menos más dos es lo mismo que menos dos, es esto.

826
00:59:45,980 --> 00:59:55,559
Pero si tengo el signo menos antes del paréntesis...

827
00:59:55,559 --> 00:59:58,340
Pero primero tienes que quitar este doble signo, el menos con el más.

828
00:59:59,619 --> 01:00:02,500
El menos de aquí con el más de aquí queda menos dos.

829
01:00:02,539 --> 01:00:08,280
A ver, esperame. Es que ahí es donde me he perdido antes.

830
01:00:08,940 --> 01:00:18,039
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.

831
01:00:18,039 --> 01:00:23,820
Pero no lo hemos hecho, lo que hemos hecho ha sido primero agruparlo. Daría igual, menos siete más cinco da menos dos.

832
01:00:25,380 --> 01:00:26,820
Pero luego, pero luego...

833
01:00:26,820 --> 01:00:28,159
Da igual, escucha.

834
01:00:28,280 --> 01:00:29,019
Ah, vale, vale, vale.

835
01:00:29,019 --> 01:00:34,659
It does the same. If you do what you are telling me to do, minus 7 plus 5, it still gives you minus 2.

836
01:00:34,659 --> 01:00:35,900
Yes, yes, yes, I saw it, I saw it.

837
01:00:35,960 --> 01:00:38,679
Okay? That's why I said that it can be done in both ways.

838
01:00:39,139 --> 01:00:46,920
What happens is that normally, if we have numbers, we usually operate the parenthesis and then change it to a sign.

839
01:00:47,460 --> 01:00:50,639
But if I already have many things, maybe I'm interested in doing it.

840
01:00:50,920 --> 01:00:53,679
I've put it like this so that you have an example of each thing.

841
01:00:54,400 --> 01:00:54,760
Okay?

842
01:00:54,980 --> 01:00:56,659
That you can do either of the two.

843
01:00:56,659 --> 01:01:00,760
Can you leave your cell phone, please? You're in a class. No, no, save it.

844
01:01:01,619 --> 01:01:04,000
Diego, save it, please. Save it.

845
01:01:04,940 --> 01:01:07,119
Aaron, do you save it? Do you save it?

846
01:01:08,739 --> 01:01:11,039
You too? Do you save it?

847
01:01:13,019 --> 01:01:13,920
Okay, thanks.

848
01:01:15,059 --> 01:01:17,320
Come on. Let's do the next one.

849
01:01:22,250 --> 01:01:26,650
I can do this division. I can do this division.

850
01:01:26,650 --> 01:01:32,650
Do you see it? And I can't do anything else. So, what would I write?

851
01:01:32,650 --> 01:01:34,650
Plus one. Plus one.

852
01:01:34,650 --> 01:01:39,820
Plus four.

853
01:01:39,820 --> 01:01:45,820
No, I can't do this plus four, because this minus operates the whole cork.

854
01:01:45,820 --> 01:01:51,820
Look, if you do that sign, you are removing the hierarchy, because first, I mean, you are making a hierarchy error,

855
01:01:51,820 --> 01:01:57,820
because first you have to operate the whole cork to know what you have to do with the opposite.

856
01:01:57,820 --> 01:02:07,820
So I would have a minus, I copy the cork, the minus 4, and now I operate this division.

857
01:02:07,820 --> 01:02:09,820
How much of this division, Willy?

858
01:02:09,820 --> 01:02:14,820
Plus minus 10 between minus 5, first signs, then numbers.

859
01:02:14,820 --> 01:02:19,639
Of course, first signs, plus, minus and minus.

860
01:02:19,639 --> 01:02:31,519
Well, that, plus by minus, minus by minus, plus, and now 10 by 5,

861
01:02:31,519 --> 01:02:46,070
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,

862
01:02:46,070 --> 01:02:52,610
y ahora hago esta operación más menos 9 entre menos 9 primeros signos luego números

863
01:02:54,110 --> 01:03:05,460
más por menos menos por menos más eso es más 1 y ahora o cambio de signos o hago lo que puedo

864
01:03:05,460 --> 01:03:10,260
hacer o cambio de signos los corchetes o hago los corchetes y luego los cambio de signos que

865
01:03:10,260 --> 01:03:15,170
What do you prefer?

866
01:03:15,170 --> 01:03:17,170
Do you prefer me to change the signs?

867
01:03:17,170 --> 01:03:19,170
Resolve it.

868
01:03:19,170 --> 01:03:21,170
As you want.

869
01:03:21,170 --> 01:03:23,170
How do you want to do it? Come on, Willy, do it yourself.

870
01:03:23,170 --> 01:03:25,170
It would be the same, one.

871
01:03:25,170 --> 01:03:27,170
Plus one?

872
01:03:27,170 --> 01:03:29,170
It would be the same.

873
01:03:31,170 --> 01:03:33,170
Plus...

874
01:03:33,170 --> 01:03:37,250
Plus six?

875
01:03:37,250 --> 01:03:39,250
No. That's why I'm telling you,

876
01:03:39,250 --> 01:03:41,250
either you make the cork and change the sign,

877
01:03:41,250 --> 01:03:43,250
or you change the sign and then you operate.

878
01:03:43,250 --> 01:03:51,929
Claro, pero es que este menos que da más 4, también me cambia el más 2 por un menos 2.

879
01:03:52,250 --> 01:03:53,289
Ah, ok, ok.

880
01:03:53,409 --> 01:03:57,889
Claro, y este más lo dejo igual, más 3 y más 1.

881
01:03:58,989 --> 01:03:59,829
¿Qué me da?

882
01:04:04,900 --> 01:04:05,420
7.

883
01:04:07,559 --> 01:04:11,960
3 y una 4, y 4, 8 y una 9, 9 menos 2, 7.

884
01:04:13,980 --> 01:04:14,539
¿Vale?

885
01:04:15,599 --> 01:04:16,400
El último.

886
01:04:19,519 --> 01:04:28,119
I would do this and I would do this so I would have plus 1 minus corchete plus 3 and now

887
01:04:28,119 --> 01:04:36,579
less by less more by more more and 8 by 8 64 plus corchete plus 6 and now more

888
01:04:36,579 --> 01:04:43,500
by more more by more more and 8 between 42 instead of applying the sign to all

889
01:04:43,500 --> 01:04:47,380
the corchets as I did in exercise c what I'm going to do is operate the

890
01:04:47,380 --> 01:04:51,519
corchetes y luego cambiar el signo para que tengáis uno de cada así que lo que

891
01:04:51,519 --> 01:04:58,179
tendría que operar es esto esto de aquí y esto de aquí y me quedaría más 1 menos

892
01:04:58,179 --> 01:05:05,500
y fíjate willy el menos me afecta a todo más 3 y más 64 no sólo al más 3 la

893
01:05:05,500 --> 01:05:14,440
distributiva entonces sería menos 67 y ahora más y pues 6 y 28 por tanto menos

894
01:05:14,440 --> 01:05:30,639
67 plus 9 plus 8 plus 1 of course minus 67 plus 8 is minus 59 plus 1

895
01:05:31,559 --> 01:05:39,980
minus 58 if we have not been wrong it has been clear doubts

896
01:05:39,980 --> 01:05:43,780
I'm not going to do more combined operations I think you have one of each kind

897
01:05:43,780 --> 01:05:47,920
tomorrow what we will see are the powers with the combined operations that

898
01:05:47,920 --> 01:05:53,780
are a little more than then what I am going to tell you is that I am going to give you

899
01:05:53,780 --> 01:05:58,599
a sheet that has 60 operations because this is practice does not have more than

900
01:05:58,599 --> 01:06:02,380
practice and practice and practice then comes the operation and the result that

901
01:06:02,380 --> 01:06:07,280
you have to give and for you to practice you agree any

902
01:06:07,280 --> 01:06:17,000
of the class is to practice is to practice what you have to deliver to me remember that they are

903
01:06:17,000 --> 01:06:24,619
the works of those who put those who are in pink in the weeks of the virtual and those who put

904
01:06:24,619 --> 01:06:29,780
self-evaluation of the content at the end that you are making very few people and you have to

905
01:06:29,780 --> 01:06:35,239
do them they are online you have to do the online tests of the operation of the content that is

906
01:06:35,239 --> 01:06:37,239
el 30% de la nota. ¿De acuerdo?

907
01:06:37,820 --> 01:06:38,300
¿Dudas?

908
01:06:39,099 --> 01:06:41,500
Pues chicos, hemos acabado la clase

909
01:06:41,500 --> 01:06:43,360
de hoy. Así que muchas gracias.