1 00:00:00,000 --> 00:00:07,000 Vale, vamos a grabar la clase correspondiente al sistema métrico decimal, ¿vale? 2 00:00:07,000 --> 00:00:12,000 Sistema es porque las cosas están unidas entre sí y funcionan juntas. 3 00:00:12,000 --> 00:00:16,000 Un sistema, tengo un sistema respiratorio porque tengo órganos 4 00:00:16,000 --> 00:00:19,000 que funcionan juntos para poder respirar. 5 00:00:19,000 --> 00:00:24,000 Yo tengo un sistema circulatorio porque tengo partes de mi cuerpo 6 00:00:24,000 --> 00:00:27,000 que funcionan juntas para que mi sangre pueda circular 7 00:00:27,000 --> 00:00:30,000 y hay intercambio de alimentos, de oxígeno, vale. 8 00:00:30,000 --> 00:00:33,000 Pues un sistema son cosas que funcionan juntas. 9 00:00:33,000 --> 00:00:35,000 Un sistema mecánico es un reloj. 10 00:00:35,000 --> 00:00:39,000 Es un sistema, un conjunto de piezas que funcionan juntas, 11 00:00:39,000 --> 00:00:46,000 cada una con su rol para yo poder leer la medida de tiempo, por ejemplo, ¿vale? 12 00:00:46,000 --> 00:00:51,000 Entonces, eso es un sistema, conjunto de cosas que funcionan juntas. 13 00:00:51,000 --> 00:00:53,000 Métrico, ¿de dónde viene métrico? 14 00:00:53,000 --> 00:00:55,000 De la palabra griega métrica que es medida. 15 00:00:55,000 --> 00:00:58,000 Es decir, estoy cogiendo un sistema para medir, ¿vale? 16 00:00:58,000 --> 00:01:01,000 Y decimal, porque mi base es 10. 17 00:01:01,000 --> 00:01:04,000 ¿De cuándo creéis que es el metro? 18 00:01:04,000 --> 00:01:10,000 ¿De cuándo creéis que es el metro? 19 00:01:10,000 --> 00:01:18,000 ¿De los romanos? 20 00:01:18,000 --> 00:01:27,000 ¿De los romanos? 21 00:01:27,000 --> 00:01:31,000 ¿De cuándo es el metro? 22 00:01:31,000 --> 00:01:33,000 No sé, di lo que tú quieras. 23 00:01:33,000 --> 00:01:36,000 Apuesta, tú di lo que quieras. 24 00:01:36,000 --> 00:01:38,000 ¿De los egipcios? 25 00:01:38,000 --> 00:01:39,000 De los egipcios, vale. 26 00:01:39,000 --> 00:01:43,000 Coged el móvil y buscad el metro cuándo se instituyó. 27 00:01:43,000 --> 00:01:59,000 ¿De cuándo es el metro? 28 00:01:59,000 --> 00:02:10,000 La próxima cámara. 29 00:02:10,000 --> 00:02:28,000 ¿Cuándo se define el metro? 30 00:02:28,000 --> 00:02:31,000 Ostras, había llegado. 31 00:02:31,000 --> 00:02:33,000 1889. 32 00:02:33,000 --> 00:02:37,000 Estamos hablando antes de ayer. 33 00:02:37,000 --> 00:02:40,000 Y hasta entonces no había metro. 34 00:02:40,000 --> 00:02:42,000 Se medía con partes del cuerpo. 35 00:02:42,000 --> 00:02:43,000 No existía el metro. 36 00:02:43,000 --> 00:02:45,000 Se medía con palmos, se medía con pies, 37 00:02:45,000 --> 00:02:48,000 se medía con yardas, se medía con celemines, 38 00:02:48,000 --> 00:02:51,000 se medía con varas, pero no existía el metro. 39 00:02:51,000 --> 00:02:52,000 ¿Vale? 40 00:02:52,000 --> 00:02:58,000 Entonces, es de 1889. 41 00:02:58,000 --> 00:03:00,000 En un congreso que se hace. 42 00:03:00,000 --> 00:03:02,000 ¿Qué sucede en el mundo en esa época? 43 00:03:02,000 --> 00:03:05,000 ¿Qué época histórica es? 44 00:03:05,000 --> 00:03:10,000 ¿A partir de 1850 qué se da? 45 00:03:10,000 --> 00:03:14,000 No, después de Cristo. 46 00:03:14,000 --> 00:03:18,000 ¿Qué surge a partir de mediados del XIX? 47 00:03:18,000 --> 00:03:20,000 Cuando pensáis en mediados del XIX, 48 00:03:20,000 --> 00:03:21,000 ¿qué os viene a la mente? 49 00:03:21,000 --> 00:03:25,000 ¿Qué imágenes os vienen a la mente? 50 00:03:25,000 --> 00:03:27,000 La revolución industrial. 51 00:03:27,000 --> 00:03:28,000 Fábricas. 52 00:03:28,000 --> 00:03:31,000 Y las fábricas se hacen porque hay máquinas. 53 00:03:31,000 --> 00:03:32,000 ¿Vale? 54 00:03:32,000 --> 00:03:34,000 ¿Qué pasa si construimos una máquina? 55 00:03:34,000 --> 00:03:36,000 ¿Las máquinas se hacen solo de una cosa? 56 00:03:36,000 --> 00:03:40,000 ¿O las construyen muchas o diferentes empresas? 57 00:03:40,000 --> 00:03:42,000 Pensad en un coche. 58 00:03:42,000 --> 00:03:47,000 ¿Construye una sola fábrica todas las piezas del coche? 59 00:03:47,000 --> 00:03:48,000 No, ¿verdad? 60 00:03:48,000 --> 00:03:51,000 ¿Le pide a unos una cosa, a otros otra? 61 00:03:51,000 --> 00:03:52,000 ¿Vale? 62 00:03:52,000 --> 00:03:55,000 ¿Qué pasa si yo te encargo, por ejemplo, que midas? 63 00:03:55,000 --> 00:03:56,000 Yo mido mi mesa. 64 00:03:56,000 --> 00:03:58,000 Medir es coger la unidad y medir. 65 00:03:58,000 --> 00:04:02,000 Ver cuántas veces mi patrón entra en lo que voy a medir. 66 00:04:02,000 --> 00:04:07,000 Si mido con palmos, ¿cuánto mide esta mesa conmigo? 67 00:04:08,000 --> 00:04:09,000 No llega. 68 00:04:09,000 --> 00:04:10,000 Tres y tres cuartos. 69 00:04:10,000 --> 00:04:11,000 Vale. 70 00:04:11,000 --> 00:04:13,000 ¿Y si ahora lo mides tú? 71 00:04:20,000 --> 00:04:22,000 ¿Cuatro y medio? 72 00:04:22,000 --> 00:04:23,000 Cuatro y medio. 73 00:04:23,000 --> 00:04:27,000 Vale, tenemos un problema porque si yo te digo que tú me hagas una mesa 74 00:04:27,000 --> 00:04:30,000 de tres palmos y tres cuartos 75 00:04:30,000 --> 00:04:33,000 y tú usas tu medida, ¿qué te va a pasar? 76 00:04:33,000 --> 00:04:36,000 Que vas a hacer más pequeña. 77 00:04:36,000 --> 00:04:39,000 Que vas a hacer la mesa más pequeña. 78 00:04:39,000 --> 00:04:43,000 Y yo tengo un problema porque no me encajan las piezas que tengo que poner. 79 00:04:43,000 --> 00:04:45,000 Por eso se hace necesario unificar todas las medidas 80 00:04:45,000 --> 00:04:48,000 y todos los países europeos, que son los industrializados, 81 00:04:48,000 --> 00:04:51,000 deciden ponerse de acuerdo y utilizar todos el mismo sistema de medidas 82 00:04:51,000 --> 00:04:52,000 que es el metro. 83 00:04:52,000 --> 00:04:56,000 Y para eso cogen algo que es común a todos, que es la tierra. 84 00:04:57,000 --> 00:05:00,000 Y como cogen el radio de la tierra, el perímetro de la tierra, 85 00:05:00,000 --> 00:05:03,000 que siempre es el mismo, pero es una medida muy grande porque, claro, 86 00:05:03,000 --> 00:05:06,000 yo no puedo medir la mesa en perímetros de la tierra. 87 00:05:06,000 --> 00:05:10,000 Entonces cogen una subdivisión, una diezmillonesima parte 88 00:05:10,000 --> 00:05:13,000 y sale el metro, la medida. 89 00:05:13,000 --> 00:05:15,000 ¿Lo entendemos? 90 00:05:15,000 --> 00:05:17,000 Pero es de antes de ayer. 91 00:05:17,000 --> 00:05:18,000 El metro es de antes de ayer. 92 00:05:18,000 --> 00:05:20,000 Nosotros llevamos midiendo toda la vida. 93 00:05:20,000 --> 00:05:24,000 Pero cuando se hace de verdad necesario un sistema métrico 94 00:05:24,000 --> 00:05:26,000 para todos, que nos unifique a todos 95 00:05:26,000 --> 00:05:29,000 y que funcione con todas las magnitudes que medimos, 96 00:05:29,000 --> 00:05:31,000 surge el metro. 97 00:05:31,000 --> 00:05:36,000 En una convención que es la de las medidas en París. 98 00:05:37,000 --> 00:05:38,000 ¿Vale? 99 00:05:38,000 --> 00:05:39,000 Antes de ayer. 100 00:05:39,000 --> 00:05:41,000 Porque 1850 está... 101 00:05:41,000 --> 00:05:43,000 O sea, 1890 está ya al lado. 102 00:05:43,000 --> 00:05:45,000 ¿Lo entendemos? 103 00:05:45,000 --> 00:05:49,000 Porque no tiene sentido ver un sistema 104 00:05:49,000 --> 00:05:51,000 si no sé qué estoy mirando y por qué. 105 00:05:52,000 --> 00:05:53,000 ¿Ha quedado claro? 106 00:05:53,000 --> 00:05:55,000 Por eso surge la Revolución Industrial. 107 00:05:55,000 --> 00:05:58,000 Las matemáticas no van aparte de la realidad. 108 00:05:58,000 --> 00:06:01,000 Las matemáticas dan respuesta a las necesidades de la irrealidad 109 00:06:01,000 --> 00:06:03,000 en cada momento de la historia. 110 00:06:03,000 --> 00:06:06,000 Por eso la trigonometría y las curvas se desarrollan 111 00:06:06,000 --> 00:06:08,000 después de la navegación, 112 00:06:08,000 --> 00:06:11,000 después del siglo de los descubrimientos en el XVI, 113 00:06:11,000 --> 00:06:14,000 o aquí las medidas cogen muchísima fuerza 114 00:06:14,000 --> 00:06:17,000 y establecer un sistema de medidas igual para todos 115 00:06:17,000 --> 00:06:19,000 coja muchísima fuerza en el XIX 116 00:06:19,000 --> 00:06:21,000 porque estamos en plena Revolución Industrial 117 00:06:21,000 --> 00:06:23,000 Yo le tengo que decir a Funalito 118 00:06:23,000 --> 00:06:26,000 mándame una barra que mida tanto 119 00:06:26,000 --> 00:06:27,000 y a Menganito 120 00:06:27,000 --> 00:06:30,000 oye, y tú engrana con una tuerca que tenga este diámetro. 121 00:06:31,000 --> 00:06:32,000 ¿Ha quedado claro? 122 00:06:33,000 --> 00:06:34,000 ¿Vale? 123 00:06:34,000 --> 00:06:36,000 Y no podemos usar medidas corporales 124 00:06:36,000 --> 00:06:38,000 porque todos tenemos cuerpos distintos 125 00:06:38,000 --> 00:06:40,000 que era lo que hasta entonces siempre había funcionado. 126 00:06:41,000 --> 00:06:42,000 ¿De acuerdo? 127 00:06:42,000 --> 00:06:45,000 Por eso se establece un sistema métrico decimal. 128 00:06:45,000 --> 00:06:46,000 ¿Por qué decimal? 129 00:06:46,000 --> 00:06:49,000 Porque nosotros ya tenemos instaurado un sistema de numeración. 130 00:06:49,000 --> 00:06:52,000 ¿Cómo funciona nuestro sistema de numeración? 131 00:06:56,000 --> 00:06:58,000 Si yo te digo 328,4 132 00:07:12,000 --> 00:07:13,000 ¿Qué órdenes tengo? 133 00:07:13,000 --> 00:07:14,000 ¿Qué lugares tengo? 134 00:07:14,000 --> 00:07:16,000 ¿Cómo llamo a los lugares? 135 00:07:16,000 --> 00:07:18,000 ¿Dónde tengo la coma? 136 00:07:19,000 --> 00:07:21,000 Yo voy a poner aquí la coma. 137 00:07:21,000 --> 00:07:23,000 Luego este cuadrito, ¿qué me marca? 138 00:07:24,000 --> 00:07:26,000 Unidades, muy bien. 139 00:07:29,000 --> 00:07:31,000 ¿Y hacia abajo? 140 00:07:31,000 --> 00:07:34,000 Si hago la unidad dividida en 10 partes 141 00:07:34,000 --> 00:07:36,000 porque necesito meter algo muy pequeño 142 00:07:36,000 --> 00:07:38,000 o sea, porque necesito contar algo muy pequeño 143 00:07:38,000 --> 00:07:40,000 décima 144 00:07:41,000 --> 00:07:43,000 La voy a poner así. 145 00:07:46,000 --> 00:07:48,000 Entonces el 8 lo pondría aquí 146 00:07:48,000 --> 00:07:50,000 y el 4 lo pondría aquí. 147 00:07:51,000 --> 00:07:52,000 ¿Y luego? 148 00:07:53,000 --> 00:07:54,000 Centésimas 149 00:07:54,000 --> 00:07:55,000 ¿Centésimas? 150 00:07:55,000 --> 00:07:56,000 ¿Y luego? 151 00:07:56,000 --> 00:07:57,000 Milésimas 152 00:07:57,000 --> 00:08:01,000 Y cada una va teniendo 10 veces de las anteriores. 153 00:08:01,000 --> 00:08:03,000 Si yo quiero las equivalencias 154 00:08:03,000 --> 00:08:06,000 una de cada una va teniendo 10 veces de las anteriores. 155 00:08:06,000 --> 00:08:08,000 Si yo quiero las equivalencias 156 00:08:08,000 --> 00:08:10,000 Si yo quiero las equivalencias 157 00:08:10,000 --> 00:08:12,000 una unidad son 10 décimas. 158 00:08:12,000 --> 00:08:14,000 ¿Vale? 159 00:08:14,000 --> 00:08:15,000 Multiplico por 10 160 00:08:15,000 --> 00:08:17,000 para saber cuántas décimas tengo en una unidad 161 00:08:17,000 --> 00:08:19,000 lo que yo hago es coger la coma 162 00:08:19,000 --> 00:08:21,000 y decir, ¿dónde quiero la coma ahora? 163 00:08:23,000 --> 00:08:24,000 Aquí 164 00:08:24,000 --> 00:08:25,000 porque quiero saber 165 00:08:25,000 --> 00:08:27,000 mi unidad ahora van a ser las décimas 166 00:08:27,000 --> 00:08:28,000 ¿Cuántas décimas tengo? 167 00:08:28,000 --> 00:08:29,000 ¿Cuántas décimas tengo? 168 00:08:29,000 --> 00:08:30,000 84 169 00:08:31,000 --> 00:08:33,000 Y si yo pongo aquí las... 170 00:08:34,000 --> 00:08:35,000 ¿Qué hay en el otro lado? 171 00:08:35,000 --> 00:08:36,000 Los múltiplos 172 00:08:39,000 --> 00:08:40,000 ¿En el otro lado? 173 00:08:45,000 --> 00:08:46,000 ¿Qué tengo aquí? 174 00:08:47,000 --> 00:08:48,000 ¿Después de la unidad? 175 00:08:50,000 --> 00:08:51,000 No, antes 176 00:08:51,000 --> 00:08:52,000 esos son 100 177 00:08:52,000 --> 00:08:54,000 100 unidades es la centena 178 00:08:54,000 --> 00:08:55,000 10 unidades 179 00:08:55,000 --> 00:08:57,000 10 es la... 180 00:08:57,000 --> 00:08:59,000 10 181 00:09:00,000 --> 00:09:01,000 ¿De qué? 182 00:09:01,000 --> 00:09:03,000 Decenas 183 00:09:05,000 --> 00:09:06,000 10 184 00:09:06,000 --> 00:09:07,000 Ah, decenas 185 00:09:07,000 --> 00:09:08,000 10 186 00:09:09,000 --> 00:09:10,000 Y centena 187 00:09:12,000 --> 00:09:13,000 Unidad de mil 188 00:09:15,000 --> 00:09:16,000 ¿Vale? 189 00:09:16,000 --> 00:09:17,000 Decena de mil 190 00:09:17,000 --> 00:09:18,000 Centena de mil 191 00:09:18,000 --> 00:09:19,000 Eso lo hemos hablado 192 00:09:19,000 --> 00:09:20,000 ¿Os acordáis? 193 00:09:20,000 --> 00:09:21,000 ¿Vale? 194 00:09:21,000 --> 00:09:22,000 Pues pondría aquí el 2 195 00:09:22,000 --> 00:09:23,000 y aquí el 3 196 00:09:23,000 --> 00:09:24,000 Y si yo te pidiera 197 00:09:24,000 --> 00:09:25,000 este número 198 00:09:25,000 --> 00:09:28,000 que son 328,4 unidades 199 00:09:32,000 --> 00:09:33,000 Te dijera 200 00:09:33,000 --> 00:09:35,000 ¿Cuántas centenas son? 201 00:09:38,000 --> 00:09:40,000 ¿Cuántas centenas tienes? 202 00:09:41,000 --> 00:09:42,000 Tres y un poco, ¿no? 203 00:09:42,000 --> 00:09:43,000 Sí 204 00:09:43,000 --> 00:09:44,000 ¿Qué estás haciendo con la coma? 205 00:09:45,000 --> 00:09:46,000 Moverla 206 00:09:46,000 --> 00:09:47,000 ¿Moverla a dónde? 207 00:09:48,000 --> 00:09:50,000 A las centenas 208 00:09:50,000 --> 00:09:51,000 Porque te he pedido 209 00:09:51,000 --> 00:09:53,000 ¿Cuántas centenas tienes? 210 00:09:53,000 --> 00:09:54,000 ¿Ha quedado claro? 211 00:09:54,000 --> 00:09:55,000 Vale 212 00:09:55,000 --> 00:09:56,000 ¿Sí? 213 00:09:56,000 --> 00:09:57,000 Sí 214 00:09:57,000 --> 00:09:58,000 ¿Vale? 215 00:09:58,000 --> 00:09:59,000 Pues es exactamente 216 00:09:59,000 --> 00:10:00,000 lo que pasa con las unidades 217 00:10:00,000 --> 00:10:01,000 Dicen, si tenemos un sistema 218 00:10:01,000 --> 00:10:02,000 que funciona 219 00:10:02,000 --> 00:10:03,000 vamos a hacer que con las unidades 220 00:10:03,000 --> 00:10:04,000 me pase lo mismo 221 00:10:04,000 --> 00:10:05,000 Entonces, yo voy a tener 222 00:10:05,000 --> 00:10:06,000 una unidad de medida 223 00:10:06,000 --> 00:10:07,000 bien de longitud 224 00:10:07,000 --> 00:10:08,000 bien de capacidad 225 00:10:08,000 --> 00:10:09,000 bien de peso 226 00:10:09,000 --> 00:10:10,000 de masa 227 00:10:10,000 --> 00:10:11,000 ¿Vale? 228 00:10:11,000 --> 00:10:12,000 La unidad de masa 229 00:10:12,000 --> 00:10:13,000 Entonces 230 00:10:13,000 --> 00:10:14,000 Nosotros 231 00:10:14,000 --> 00:10:15,000 ¿En qué medimos 232 00:10:15,000 --> 00:10:16,000 la longitud? 233 00:10:16,000 --> 00:10:17,000 En la medida 234 00:10:17,000 --> 00:10:18,000 Lo primero que instauramos 235 00:10:18,000 --> 00:10:19,000 es la base de la medida 236 00:10:19,000 --> 00:10:20,000 porque si cogimos 237 00:10:20,000 --> 00:10:21,000 el perímetro de la Tierra 238 00:10:21,000 --> 00:10:22,000 que es una longitud 239 00:10:22,000 --> 00:10:23,000 pues la medida 240 00:10:23,000 --> 00:10:24,000 es exactamente 241 00:10:24,000 --> 00:10:25,000 la base de la medida 242 00:10:25,000 --> 00:10:26,000 ¿Vale? 243 00:10:26,000 --> 00:10:27,000 Entonces 244 00:10:27,000 --> 00:10:28,000 la medida 245 00:10:28,000 --> 00:10:29,000 es exactamente 246 00:10:29,000 --> 00:10:30,000 la base de la medida 247 00:10:30,000 --> 00:10:31,000 ¿Vale? 248 00:10:31,000 --> 00:10:32,000 Entonces 249 00:10:32,000 --> 00:10:33,000 la medida 250 00:10:33,000 --> 00:10:34,000 es exactamente 251 00:10:34,000 --> 00:10:35,000 pues la medida 252 00:10:35,000 --> 00:10:36,000 es el metro 253 00:10:36,000 --> 00:10:37,000 Así que yo funciono 254 00:10:37,000 --> 00:10:38,000 con el metro 255 00:10:38,000 --> 00:10:39,000 en longitud 256 00:10:39,000 --> 00:10:40,000 Si yo tengo capacidad 257 00:10:40,000 --> 00:10:41,000 lo voy a llamar 258 00:10:41,000 --> 00:10:42,000 litro 259 00:10:42,000 --> 00:10:43,000 y si yo tengo masa 260 00:10:43,000 --> 00:10:44,000 la voy a llamar 261 00:10:44,000 --> 00:10:45,000 gramo 262 00:10:45,000 --> 00:10:46,000 y estas tres 263 00:10:46,000 --> 00:10:47,000 están relacionadas 264 00:10:47,000 --> 00:10:48,000 luego lo vamos a ver 265 00:10:48,000 --> 00:10:49,000 ¿Vale? 266 00:10:49,000 --> 00:10:50,000 Entonces 267 00:10:50,000 --> 00:10:51,000 primero definen el metro 268 00:10:51,000 --> 00:10:52,000 pero independientemente 269 00:10:52,000 --> 00:10:53,000 de cuál de las tres sea 270 00:10:53,000 --> 00:10:54,000 lo que yo hago 271 00:10:54,000 --> 00:10:55,000 es coger 272 00:10:55,000 --> 00:10:56,000 mi unidad 273 00:10:56,000 --> 00:10:57,000 y la pongo aquí 274 00:10:57,000 --> 00:10:58,000 ¿Vale? 275 00:10:58,000 --> 00:10:59,000 Entonces 276 00:10:59,000 --> 00:11:00,000 primero definen el metro 277 00:11:00,000 --> 00:11:01,000 pero independientemente 278 00:11:01,000 --> 00:11:02,000 de cuál de las tres sea 279 00:11:02,000 --> 00:11:03,000 lo que yo hago 280 00:11:03,000 --> 00:11:04,000 es coger 281 00:11:04,000 --> 00:11:05,000 mi unidad 282 00:11:05,000 --> 00:11:06,000 y la pongo aquí 283 00:11:06,000 --> 00:11:07,000 ¿Vale? 284 00:11:07,000 --> 00:11:08,000 Entonces 285 00:11:08,000 --> 00:11:09,000 decenacente 286 00:11:09,000 --> 00:11:10,000 en la unidad de millar 287 00:11:10,000 --> 00:11:11,000 son prefijos 288 00:11:11,000 --> 00:11:12,000 que vienen del latín 289 00:11:12,000 --> 00:11:13,000 ¿Qué hacen 290 00:11:13,000 --> 00:11:14,000 para las medidas? 291 00:11:14,000 --> 00:11:15,000 Coger prefijos del latín 292 00:11:15,000 --> 00:11:16,000 Entonces 293 00:11:16,000 --> 00:11:17,000 en lugar de 294 00:11:17,000 --> 00:11:18,000 dec 295 00:11:18,000 --> 00:11:19,000 utilizaré 296 00:11:19,000 --> 00:11:20,000 el prefijo 297 00:11:20,000 --> 00:11:21,000 teca 298 00:11:21,000 --> 00:11:22,000 En lugar 299 00:11:22,000 --> 00:11:23,000 de 300 00:11:23,000 --> 00:11:24,000 cente 301 00:11:24,000 --> 00:11:25,000 extra 302 00:11:25,000 --> 00:11:26,000 teca 303 00:11:26,000 --> 00:11:27,000 en lugar 304 00:11:27,000 --> 00:11:28,000 de 305 00:11:28,000 --> 00:11:29,000 cente 306 00:11:29,000 --> 00:11:30,000 extra 307 00:11:30,000 --> 00:11:31,000 teca 308 00:11:31,000 --> 00:11:32,000 en lugar 309 00:11:32,000 --> 00:11:33,000 de 310 00:11:33,000 --> 00:11:34,000 hecto 311 00:11:44,000 --> 00:11:45,000 y en lugar 312 00:11:45,000 --> 00:11:46,000 de unidad de millar 313 00:11:46,000 --> 00:11:48,000 kilo 314 00:11:48,000 --> 00:11:50,000 y va de tres en tres 315 00:11:50,000 --> 00:11:52,000 entonces 316 00:11:52,000 --> 00:11:53,000 luego ya 317 00:11:53,000 --> 00:11:54,000 dejo dos huecos 318 00:11:54,000 --> 00:11:55,000 bueno 319 00:11:55,000 --> 00:11:56,000 aquí la siguiente 320 00:11:56,000 --> 00:11:57,000 se suele usar 321 00:11:57,000 --> 00:11:58,000 también 322 00:11:58,000 --> 00:11:59,000 es el miria 323 00:12:03,000 --> 00:12:04,000 pero ya no seríamos 324 00:12:04,000 --> 00:12:05,000 a ir de tres en tres 325 00:12:05,000 --> 00:12:06,000 ¿Vale? 326 00:12:07,000 --> 00:12:08,000 Esto sería 327 00:12:08,000 --> 00:12:09,000 diez a la tres 328 00:12:09,000 --> 00:12:10,000 diez a las seis 329 00:12:10,000 --> 00:12:11,000 sería 330 00:12:11,000 --> 00:12:12,000 mega 331 00:12:12,000 --> 00:12:13,000 diez a la nueve 332 00:12:13,000 --> 00:12:14,000 sería giga 333 00:12:14,000 --> 00:12:15,000 diez a la doce 334 00:12:15,000 --> 00:12:16,000 es decir 335 00:12:16,000 --> 00:12:17,000 sería 336 00:12:17,000 --> 00:12:18,000 tera 337 00:12:18,000 --> 00:12:19,000 cada tres 338 00:12:19,000 --> 00:12:20,000 porque si ya estoy 339 00:12:20,000 --> 00:12:21,000 en tan grande 340 00:12:21,000 --> 00:12:22,000 no necesito 341 00:12:22,000 --> 00:12:23,000 pasar de uno en uno 342 00:12:23,000 --> 00:12:24,000 ya son medidas 343 00:12:24,000 --> 00:12:25,000 muy grandes 344 00:12:25,000 --> 00:12:26,000 y con tener una 345 00:12:26,000 --> 00:12:27,000 cada tres órdenes 346 00:12:27,000 --> 00:12:28,000 de magnitud 347 00:12:28,000 --> 00:12:29,000 más o menos me llega 348 00:12:29,000 --> 00:12:30,000 ¿Vale? 349 00:12:30,000 --> 00:12:31,000 Entonces 350 00:12:32,000 --> 00:12:33,000 kilo 351 00:12:33,000 --> 00:12:34,000 tres más 352 00:12:34,000 --> 00:12:35,000 mega 353 00:12:35,000 --> 00:12:36,000 tres más 354 00:12:36,000 --> 00:12:37,000 giga 355 00:12:37,000 --> 00:12:38,000 tres más 356 00:12:38,000 --> 00:12:39,000 tera 357 00:12:39,000 --> 00:12:40,000 ¿Dónde usamos 358 00:12:40,000 --> 00:12:41,000 esas unidades tan grandes? 359 00:12:41,000 --> 00:12:42,000 Pues ahora mismo 360 00:12:42,000 --> 00:12:43,000 solamente en el almacenamiento 361 00:12:43,000 --> 00:12:44,000 informático 362 00:12:44,000 --> 00:12:45,000 y en la potencia 363 00:12:45,000 --> 00:12:46,000 eléctrica 364 00:12:46,000 --> 00:12:47,000 gigavatios 365 00:12:48,000 --> 00:12:49,000 megavatios 366 00:12:49,000 --> 00:12:50,000 he gastado 367 00:12:50,000 --> 00:12:51,000 ocho megavatios 368 00:12:51,000 --> 00:12:52,000 este mes 369 00:12:53,000 --> 00:12:55,000 un neurogenerador 370 00:12:55,000 --> 00:12:56,000 genera 371 00:12:56,000 --> 00:12:57,000 gigavatios 372 00:12:57,000 --> 00:12:58,000 y no hay más 373 00:12:59,000 --> 00:13:00,000 para 374 00:13:00,000 --> 00:13:01,000 que tienes que ir 375 00:13:01,000 --> 00:13:02,000 a las unidades 376 00:13:02,000 --> 00:13:03,000 de almacenamiento 377 00:13:03,000 --> 00:13:04,000 informático 378 00:13:04,000 --> 00:13:05,000 ¿Por qué te crees 379 00:13:05,000 --> 00:13:06,000 que dices? 380 00:13:06,000 --> 00:13:07,000 Es un disco 381 00:13:07,000 --> 00:13:08,000 de dos teras 382 00:13:09,000 --> 00:13:10,000 no son teras 383 00:13:10,000 --> 00:13:11,000 son terabandes 384 00:13:12,000 --> 00:13:13,000 ¿Ha quedado claro? 385 00:13:13,000 --> 00:13:14,000 Vale 386 00:13:14,000 --> 00:13:15,000 y para abajo 387 00:13:15,000 --> 00:13:16,000 claro 388 00:13:16,000 --> 00:13:17,000 evidentemente 389 00:13:17,000 --> 00:13:18,000 con la unidad 390 00:13:23,000 --> 00:13:24,000 y para abajo 391 00:13:24,000 --> 00:13:25,000 en lugar de décima 392 00:13:25,000 --> 00:13:26,000 deci 393 00:13:27,000 --> 00:13:28,000 estas son las que 394 00:13:28,000 --> 00:13:29,000 se mantienen igual 395 00:13:29,000 --> 00:13:30,000 en lugar de décima 396 00:13:30,000 --> 00:13:31,000 deci 397 00:13:31,000 --> 00:13:32,000 en lugar de centésima 398 00:13:34,000 --> 00:13:35,000 centi 399 00:13:35,000 --> 00:13:36,000 y en lugar de milésima 400 00:13:36,000 --> 00:13:37,000 mili 401 00:13:50,000 --> 00:13:51,000 ¿Vale? 402 00:13:51,000 --> 00:13:52,000 Entonces 403 00:13:52,000 --> 00:13:53,000 si yo te digo 404 00:13:54,000 --> 00:13:55,000 que tengo 405 00:13:55,000 --> 00:13:56,000 328,4 406 00:14:00,000 --> 00:14:01,000 metros 407 00:14:01,000 --> 00:14:02,000 perdón 408 00:14:02,000 --> 00:14:03,000 se me ha juntado 409 00:14:08,000 --> 00:14:09,000 que es una M 410 00:14:10,000 --> 00:14:11,000 ¿Tú dónde vas a poner 411 00:14:11,000 --> 00:14:12,000 la coma? 412 00:14:12,000 --> 00:14:13,000 Me estás diciendo 413 00:14:13,000 --> 00:14:14,000 que tienes 414 00:14:14,000 --> 00:14:18,000 328,4 metros 415 00:14:18,000 --> 00:14:19,000 ¿Tu cifra 416 00:14:19,000 --> 00:14:20,000 de las unidades 417 00:14:20,000 --> 00:14:21,000 quién es? 418 00:14:22,000 --> 00:14:23,000 ¿Tu cifra 419 00:14:23,000 --> 00:14:24,000 de las unidades? 420 00:14:24,000 --> 00:14:25,000 El ocho 421 00:14:25,000 --> 00:14:26,000 y me estás diciendo 422 00:14:26,000 --> 00:14:27,000 que este ocho 423 00:14:27,000 --> 00:14:28,000 son qué? 424 00:14:29,000 --> 00:14:30,000 Pues dónde pones 425 00:14:30,000 --> 00:14:31,000 el ocho 426 00:14:34,000 --> 00:14:35,000 y dónde pones 427 00:14:35,000 --> 00:14:36,000 el dos 428 00:14:37,000 --> 00:14:38,000 y el tres 429 00:14:38,000 --> 00:14:39,000 y el cuatro 430 00:14:39,000 --> 00:14:40,000 y ahora transforma 431 00:14:40,000 --> 00:14:41,000 pon la coma 432 00:14:41,000 --> 00:14:42,000 donde te dé la gana 433 00:14:44,000 --> 00:14:45,000 ¿Lo quieres 434 00:14:45,000 --> 00:14:46,000 en milímetros? 435 00:14:48,000 --> 00:14:49,000 Esto sería metro 436 00:14:49,000 --> 00:14:50,000 ¿verdad? 437 00:14:50,000 --> 00:14:51,000 Sí 438 00:14:51,000 --> 00:14:52,000 Así que esto es metro 439 00:14:52,000 --> 00:14:53,000 esto es metro 440 00:14:53,000 --> 00:14:54,000 esto es metro 441 00:14:54,000 --> 00:14:55,000 esto es metro 442 00:14:55,000 --> 00:14:56,000 esto es metro 443 00:14:56,000 --> 00:14:57,000 esto es metro 444 00:14:57,000 --> 00:14:58,000 y esto es metro 445 00:14:59,000 --> 00:15:00,000 Si la quiero 446 00:15:00,000 --> 00:15:01,000 en milímetros 447 00:15:01,000 --> 00:15:02,000 ¿Dónde pongo la coma? 448 00:15:06,000 --> 00:15:07,000 Pues que tendré 449 00:15:07,000 --> 00:15:08,000 que rellenar 450 00:15:09,000 --> 00:15:10,000 Pues mira 451 00:15:10,000 --> 00:15:12,000 328,4 metros 452 00:15:12,000 --> 00:15:15,000 son 328.400 milímetros 453 00:15:17,000 --> 00:15:18,000 Claro 454 00:15:18,000 --> 00:15:19,000 si me lo estás pidiendo 455 00:15:19,000 --> 00:15:20,000 en milímetros 456 00:15:20,000 --> 00:15:21,000 tendrás que tener 457 00:15:21,000 --> 00:15:22,000 la coma en milímetros 458 00:15:24,000 --> 00:15:25,000 No, es que no pongo coma 459 00:15:25,000 --> 00:15:26,000 por si no tengo 460 00:15:26,000 --> 00:15:27,000 nada detrás 461 00:15:27,000 --> 00:15:28,000 no pongo coma 462 00:15:29,000 --> 00:15:30,000 Claro 463 00:15:30,000 --> 00:15:31,000 pero vale 464 00:15:31,000 --> 00:15:32,000 dámelo en milímetros 465 00:15:34,000 --> 00:15:35,000 ¿Dónde pongo la coma? 466 00:15:37,000 --> 00:15:38,000 Claro, aquí el problema 467 00:15:38,000 --> 00:15:39,000 que tengo 468 00:15:39,000 --> 00:15:40,000 si lo paso a milímetros 469 00:15:41,000 --> 00:15:42,000 es que yo tendría 470 00:15:42,000 --> 00:15:43,000 que poner 471 00:15:43,000 --> 00:15:44,000 cero 472 00:15:44,000 --> 00:15:45,000 porque no llego 473 00:15:45,000 --> 00:15:46,000 a tener una unidad 474 00:15:46,000 --> 00:15:47,000 y por eso tengo 475 00:15:47,000 --> 00:15:48,000 que poner el cero delante 476 00:15:48,000 --> 00:15:49,000 y estos ceros de aquí 477 00:15:49,000 --> 00:15:50,000 me los puedo ventilar 478 00:15:50,000 --> 00:15:51,000 y merendar 479 00:15:51,000 --> 00:15:53,000 porque no me aportan nada 480 00:15:54,000 --> 00:15:55,000 Entonces 481 00:15:55,000 --> 00:15:56,000 328,4 metros 482 00:15:58,000 --> 00:15:59,000 serían 483 00:15:59,000 --> 00:16:02,000 0,03284 milímetros 484 00:16:04,000 --> 00:16:05,000 Es difícil 485 00:16:06,000 --> 00:16:07,000 Solo tengo que saber 486 00:16:07,000 --> 00:16:08,000 lo que estoy leyendo 487 00:16:08,000 --> 00:16:09,000 y lo que estoy poniendo 488 00:16:09,000 --> 00:16:10,000 Y si yo te dijera 489 00:16:13,000 --> 00:16:14,000 que estos son 490 00:16:21,000 --> 00:16:22,000 dos 491 00:16:24,000 --> 00:16:25,000 decámetros 492 00:16:25,000 --> 00:16:26,000 porque esto es 493 00:16:26,000 --> 00:16:27,000 de K es de AM 494 00:16:27,000 --> 00:16:28,000 para no confundir 495 00:16:28,000 --> 00:16:29,000 con DC 496 00:16:29,000 --> 00:16:30,000 que es de F 497 00:16:30,000 --> 00:16:31,000 de M 498 00:16:31,000 --> 00:16:32,000 Dos decámetros 499 00:16:33,000 --> 00:16:34,000 y 500 00:16:35,000 --> 00:16:37,000 52 decímetros 501 00:16:39,000 --> 00:16:40,000 Y lo quiero 502 00:16:40,000 --> 00:16:41,000 pasar 503 00:16:41,000 --> 00:16:42,000 a 504 00:16:45,000 --> 00:16:46,000 hectómetros 505 00:16:58,000 --> 00:16:59,000 0,2 506 00:17:00,000 --> 00:17:01,000 Dos decámetros 507 00:17:01,000 --> 00:17:02,000 y 52 decímetros 508 00:17:02,000 --> 00:17:03,000 Voy a borrar 509 00:17:03,000 --> 00:17:04,000 todo esto 510 00:17:04,000 --> 00:17:05,000 que no me hace falta 511 00:17:07,000 --> 00:17:08,000 El dos en el decá 512 00:17:09,000 --> 00:17:10,000 El dos en el decá 513 00:17:10,000 --> 00:17:11,000 Vale 514 00:17:11,000 --> 00:17:12,000 Te lo compro 515 00:17:12,000 --> 00:17:13,000 Cero 516 00:17:13,000 --> 00:17:14,000 No 517 00:17:14,000 --> 00:17:15,000 Cinco, dos 518 00:17:15,000 --> 00:17:16,000 decímetros 519 00:17:16,000 --> 00:17:17,000 Entonces 520 00:17:17,000 --> 00:17:18,000 Vale 521 00:17:18,000 --> 00:17:19,000 En lugar de un cinco 522 00:17:19,000 --> 00:17:20,000 En lugar de cincuenta y dos 523 00:17:20,000 --> 00:17:21,000 voy a ponerte 524 00:17:21,000 --> 00:17:22,000 un seis 525 00:17:22,000 --> 00:17:23,000 para que no se confundan 526 00:17:23,000 --> 00:17:24,000 las cifras 527 00:17:24,000 --> 00:17:25,000 y no se repitan 528 00:17:25,000 --> 00:17:26,000 Entonces 529 00:17:26,000 --> 00:17:27,000 ¿Y dónde lo pongo? 530 00:17:27,000 --> 00:17:28,000 En DC 531 00:17:29,000 --> 00:17:30,000 Es otra cantidad 532 00:17:30,000 --> 00:17:31,000 así que la pongo debajo 533 00:17:31,000 --> 00:17:32,000 Y 534 00:17:32,000 --> 00:17:33,000 entonces el cinco 535 00:17:34,000 --> 00:17:35,000 Vale 536 00:17:36,000 --> 00:17:37,000 ¿Cuánto te da esto? 537 00:17:41,000 --> 00:17:42,000 Entonces 538 00:17:42,000 --> 00:17:43,000 Claro 539 00:17:43,000 --> 00:17:44,000 Entonces hectómetros sería 540 00:17:46,000 --> 00:17:47,000 Si yo lo sumo 541 00:17:48,000 --> 00:17:49,000 me quedaría 542 00:17:49,000 --> 00:17:52,000 0,256 hectómetros 543 00:17:54,000 --> 00:17:55,000 Esta medida 544 00:17:55,000 --> 00:17:56,000 dice que está dada 545 00:17:56,000 --> 00:17:57,000 en forma compleja 546 00:17:57,000 --> 00:17:58,000 ¿Por qué? 547 00:18:00,000 --> 00:18:01,000 Porque te está dando 548 00:18:02,000 --> 00:18:03,000 una y otra 549 00:18:03,000 --> 00:18:04,000 Te está dando varias unidades 550 00:18:04,000 --> 00:18:05,000 Claro 551 00:18:05,000 --> 00:18:06,000 Ahí está 552 00:18:06,000 --> 00:18:07,000 Te está dando varias unidades 553 00:18:07,000 --> 00:18:08,000 de medida 554 00:18:08,000 --> 00:18:09,000 Entonces por eso dice 555 00:18:09,000 --> 00:18:10,000 que está en forma compleja 556 00:18:10,000 --> 00:18:11,000 Y yo normalmente 557 00:18:11,000 --> 00:18:12,000 te lo voy a devolver solo 558 00:18:12,000 --> 00:18:13,000 en forma incompleja 559 00:18:13,000 --> 00:18:14,000 con una sola unidad 560 00:18:14,000 --> 00:18:15,000 de medida 561 00:18:15,000 --> 00:18:16,000 ¿De acuerdo? 562 00:18:16,000 --> 00:18:17,000 Y si yo te dijera 563 00:18:18,000 --> 00:18:19,000 Vamos a borrar esto 564 00:18:23,000 --> 00:18:24,000 Que son 565 00:18:24,000 --> 00:18:25,000 al revés 566 00:18:29,000 --> 00:18:31,000 Dos decímetros 567 00:18:32,000 --> 00:18:33,000 y 568 00:18:33,000 --> 00:18:35,000 cincuenta y seis metros 569 00:18:35,000 --> 00:18:37,000 ¿Cuántos hectómetros son? 570 00:18:42,000 --> 00:18:43,000 Entonces 571 00:18:44,000 --> 00:18:45,000 El dos en deci 572 00:18:45,000 --> 00:18:46,000 Muy bien 573 00:18:50,000 --> 00:18:51,000 El seis en el metro 574 00:18:51,000 --> 00:18:52,000 Ah 575 00:18:52,000 --> 00:18:53,000 Espera 576 00:18:53,000 --> 00:18:54,000 Vamos a cambiarlo 577 00:18:54,000 --> 00:18:55,000 Que sean unidades 578 00:18:55,000 --> 00:18:56,000 Que sean metros 579 00:18:58,000 --> 00:18:59,000 Que sean 580 00:19:01,000 --> 00:19:02,000 Centímetros 581 00:19:02,000 --> 00:19:03,000 Perdón 582 00:19:03,000 --> 00:19:04,000 Vamos a poner centímetro 583 00:19:04,000 --> 00:19:05,000 que si no no va a salir 584 00:19:05,000 --> 00:19:06,000 lo que quiero hacer 585 00:19:06,000 --> 00:19:07,000 Centímetros 586 00:19:09,000 --> 00:19:10,000 ¿El seis en? 587 00:19:12,000 --> 00:19:13,000 ¿El seis dónde? 588 00:19:13,000 --> 00:19:14,000 En el centímetro 589 00:19:14,000 --> 00:19:15,000 ¿Y qué me pasa? 590 00:19:16,000 --> 00:19:17,000 Vale 591 00:19:17,000 --> 00:19:18,000 No pasa nada 592 00:19:19,000 --> 00:19:20,000 Y sumas 593 00:19:22,000 --> 00:19:23,000 Si tienes dos decímetros 594 00:19:23,000 --> 00:19:24,000 por un lado 595 00:19:24,000 --> 00:19:25,000 y cinco decímetros 596 00:19:25,000 --> 00:19:26,000 por otro 597 00:19:26,000 --> 00:19:27,000 ¿En total qué tendrás? 598 00:19:29,000 --> 00:19:30,000 Setenta y seis 599 00:19:30,000 --> 00:19:31,000 ¿Setenta y seis qué? 600 00:19:33,000 --> 00:19:34,000 ¿Setenta y seis qué? 601 00:19:35,000 --> 00:19:36,000 Milímetros 602 00:19:36,000 --> 00:19:37,000 No 603 00:19:37,000 --> 00:19:38,000 No, de centímetros 604 00:19:38,000 --> 00:19:39,000 Centímetros 605 00:19:39,000 --> 00:19:40,000 Muy bien 606 00:19:40,000 --> 00:19:41,000 Porque el seis está 607 00:19:41,000 --> 00:19:42,000 en los centímetros 608 00:19:42,000 --> 00:19:43,000 Pero yo no quiero 609 00:19:43,000 --> 00:19:44,000 setenta y seis centímetros 610 00:19:44,000 --> 00:19:45,000 ¿Qué quiero? 611 00:19:45,000 --> 00:19:46,000 En hectómetros 612 00:19:46,000 --> 00:19:47,000 Pues entonces 613 00:19:47,000 --> 00:19:48,000 Sería cero 614 00:19:48,000 --> 00:19:49,000 acá en hectómetros 615 00:19:49,000 --> 00:19:50,000 coma 616 00:19:51,000 --> 00:19:52,000 Entonces fíjate 617 00:19:52,000 --> 00:19:53,000 que para pasar 618 00:19:53,000 --> 00:19:54,000 de los centímetros 619 00:19:54,000 --> 00:19:55,000 a los hectómetros 620 00:19:55,000 --> 00:19:56,000 tengo que dividir 621 00:19:56,000 --> 00:19:57,000 porque voy a una unidad 622 00:19:57,000 --> 00:19:58,000 más grande 623 00:19:58,000 --> 00:19:59,000 Entonces tengo que dividir 624 00:19:59,000 --> 00:20:00,000 entre cuántos ceros 625 00:20:00,000 --> 00:20:01,000 tantos lugares 626 00:20:01,000 --> 00:20:02,000 como tenga 627 00:20:02,000 --> 00:20:03,000 Entonces aquí tengo 628 00:20:03,000 --> 00:20:04,000 de centímetro a hectómetro 629 00:20:04,000 --> 00:20:06,000 uno, dos, tres, cuatro 630 00:20:06,000 --> 00:20:07,000 cuatro lugares 631 00:20:07,000 --> 00:20:08,000 corro a la coma 632 00:20:08,000 --> 00:20:09,000 cuatro lugares a la izquierda 633 00:20:11,000 --> 00:20:12,000 Si voy de una unidad 634 00:20:12,000 --> 00:20:13,000 pequeña a una grande 635 00:20:13,000 --> 00:20:14,000 tengo que dividir 636 00:20:15,000 --> 00:20:16,000 porque tengo que correr 637 00:20:16,000 --> 00:20:17,000 la coma a la izquierda 638 00:20:17,000 --> 00:20:18,000 Si voy de una grande 639 00:20:18,000 --> 00:20:19,000 a una pequeña 640 00:20:19,000 --> 00:20:20,000 tengo que multiplicar 641 00:20:20,000 --> 00:20:21,000 porque en hectómetros 642 00:20:21,000 --> 00:20:22,000 son muchos centímetros 643 00:20:22,000 --> 00:20:23,000 son diez mil 644 00:20:23,000 --> 00:20:24,000 Entonces multiplico 645 00:20:24,000 --> 00:20:25,000 corriendo la coma 646 00:20:25,000 --> 00:20:26,000 a la derecha 647 00:20:27,000 --> 00:20:28,000 Hasta que llegues 648 00:20:28,000 --> 00:20:29,000 Hasta que llegues 649 00:20:29,000 --> 00:20:30,000 Entonces lo que es interesante 650 00:20:30,000 --> 00:20:32,000 es saberte el orden 651 00:20:32,000 --> 00:20:33,000 porque entonces simplemente 652 00:20:33,000 --> 00:20:34,000 con saberte el orden 653 00:20:34,000 --> 00:20:35,000 haces el cambio 654 00:20:36,000 --> 00:20:37,000 Vale 655 00:20:37,000 --> 00:20:38,000 A partir del metro 656 00:20:39,000 --> 00:20:40,000 se coge un cubo 657 00:20:47,000 --> 00:20:48,000 ¿Qué tiene? 658 00:20:49,000 --> 00:20:50,000 Un decímetro 659 00:20:51,000 --> 00:20:52,000 No, perdón 660 00:20:52,000 --> 00:20:53,000 Vamos primero con el cuadrado 661 00:20:54,000 --> 00:20:55,000 Vamos a ir primero 662 00:20:55,000 --> 00:20:56,000 con el cuadrado 663 00:20:56,000 --> 00:20:57,000 ¿Qué me pasa? 664 00:20:57,000 --> 00:20:58,000 Si yo lo que quiero 665 00:20:58,000 --> 00:20:59,000 es una unidad de superficie 666 00:21:00,000 --> 00:21:01,000 Yo tengo que coger 667 00:21:02,000 --> 00:21:03,000 una unidad 668 00:21:03,000 --> 00:21:04,000 más o menos 669 00:21:04,000 --> 00:21:05,000 regular 670 00:21:05,000 --> 00:21:06,000 o rectángulos 671 00:21:06,000 --> 00:21:07,000 ¿Con triángulos 672 00:21:07,000 --> 00:21:08,000 podría medir bien? 673 00:21:08,000 --> 00:21:09,000 No 674 00:21:09,000 --> 00:21:10,000 ¿Entonces qué se coge? 675 00:21:10,000 --> 00:21:11,000 ¿Con círculos 676 00:21:11,000 --> 00:21:12,000 puedo medir bien? 677 00:21:12,000 --> 00:21:13,000 No, que dejan huequitos 678 00:21:13,000 --> 00:21:15,000 Así que cojo un cuadrado 679 00:21:15,000 --> 00:21:16,000 porque los puedo superponer bien 680 00:21:16,000 --> 00:21:18,000 y mire lo mismo de lado 681 00:21:18,000 --> 00:21:19,000 Entonces 682 00:21:19,000 --> 00:21:20,000 me cabe de la misma manera 683 00:21:20,000 --> 00:21:21,000 por un lado que por otro 684 00:21:22,000 --> 00:21:23,000 Por eso se utilizan 685 00:21:23,000 --> 00:21:24,000 medidas cuadradas 686 00:21:25,000 --> 00:21:27,000 Porque utilizo un cuadrado 687 00:21:27,000 --> 00:21:28,000 Entonces 688 00:21:28,000 --> 00:21:29,000 lo que yo hago es que 689 00:21:29,000 --> 00:21:30,000 cojo un cuadrado 690 00:21:32,000 --> 00:21:33,000 de unidad 691 00:21:34,000 --> 00:21:35,000 Esa es mi unidad 692 00:21:35,000 --> 00:21:36,000 mi patrón 693 00:21:36,000 --> 00:21:37,000 Cojo un cuadrado 694 00:21:37,000 --> 00:21:38,000 de patrón 695 00:21:38,000 --> 00:21:39,000 y miro a ver 696 00:21:39,000 --> 00:21:40,000 cuántas veces 697 00:21:40,000 --> 00:21:41,000 me cabe este cuadrado 698 00:21:41,000 --> 00:21:42,000 en la superficie 699 00:21:42,000 --> 00:21:43,000 Por ejemplo 700 00:21:43,000 --> 00:21:44,000 aquí 701 00:21:44,000 --> 00:21:45,000 baldosas 702 00:21:45,000 --> 00:21:46,000 La baldosa son cuadradas 703 00:21:47,000 --> 00:21:48,000 Es mi unidad 704 00:21:48,000 --> 00:21:49,000 una baldosa 705 00:21:49,000 --> 00:21:50,000 ¿Cuántas baldosas 706 00:21:50,000 --> 00:21:51,000 mide esta superficie 707 00:21:52,000 --> 00:21:53,000 de clase? 708 00:21:54,000 --> 00:21:55,000 Ahora, levantarse y contar 709 00:21:58,000 --> 00:21:59,000 Que uno ponte a un lado 710 00:21:59,000 --> 00:22:00,000 que otro ponte al otro 711 00:22:10,000 --> 00:22:11,000 Hacérmelo bien 712 00:22:11,000 --> 00:22:12,000 porque esto no es entero 713 00:22:12,000 --> 00:22:13,000 ni de coña 714 00:22:14,000 --> 00:22:15,000 Y eso tampoco 715 00:22:25,000 --> 00:22:26,000 Pero esa no es entera 716 00:22:26,000 --> 00:22:27,000 Pero esa no es entera 717 00:22:27,000 --> 00:22:28,000 Entonces 718 00:22:28,000 --> 00:22:29,000 19,5 719 00:22:29,000 --> 00:22:30,000 Vale, 19,5 720 00:22:30,000 --> 00:22:31,000 Esta habitación 721 00:22:31,000 --> 00:22:32,000 nos mide de aquí 722 00:22:34,000 --> 00:22:35,000 19,5 baldosas 723 00:22:37,000 --> 00:22:38,000 cuadradas 724 00:22:38,000 --> 00:22:39,000 cuadradas 725 00:22:43,000 --> 00:22:44,000 13,5 726 00:22:44,000 --> 00:22:45,000 13 727 00:22:46,000 --> 00:22:47,000 Ya, 13,3 728 00:22:52,000 --> 00:22:53,000 Vale, venga 729 00:22:53,000 --> 00:22:54,000 13,5 730 00:22:54,000 --> 00:22:55,000 Vamos a poner 13,4 731 00:22:56,000 --> 00:22:57,000 Estos son 732 00:22:58,000 --> 00:22:59,000 De aquí de longitud 733 00:22:59,000 --> 00:23:00,000 13,5 734 00:23:01,000 --> 00:23:02,000 lo que mide la baldosa 735 00:23:02,000 --> 00:23:03,000 Y de aquí de longitud 736 00:23:03,000 --> 00:23:04,000 13,4 737 00:23:04,000 --> 00:23:05,000 lo que mide la baldosa 738 00:23:06,000 --> 00:23:07,000 Entonces 739 00:23:07,000 --> 00:23:08,000 Yo quiero saber 740 00:23:08,000 --> 00:23:09,000 ¿Cuántas tengo en total? 741 00:23:09,000 --> 00:23:10,000 ¿Cómo lo hago? 742 00:23:11,000 --> 00:23:12,000 ¿Cómo hacíamos esto? 743 00:23:13,000 --> 00:23:14,000 Para saber 744 00:23:14,000 --> 00:23:15,000 ¿Cuántas baldosas 745 00:23:15,000 --> 00:23:16,000 en total tenías? 746 00:23:17,000 --> 00:23:18,000 Si tengo 5 en un lado 747 00:23:18,000 --> 00:23:19,000 y 4 en el otro 748 00:23:19,000 --> 00:23:20,000 5 por 4, ¿no? 749 00:23:20,000 --> 00:23:21,000 5 veces 4 750 00:23:21,000 --> 00:23:22,000 Pues si tengo 751 00:23:22,000 --> 00:23:23,000 13,4 752 00:23:23,000 --> 00:23:24,000 y 19,5 753 00:23:26,000 --> 00:23:27,000 Claro 754 00:23:37,000 --> 00:23:38,000 Vale 755 00:23:55,000 --> 00:23:56,000 Baldosas cuadradas 756 00:23:58,000 --> 00:23:59,000 ¿Lo veis? 757 00:24:00,000 --> 00:24:01,000 Y eso solo lo puedo hacer 758 00:24:01,000 --> 00:24:02,000 porque 759 00:24:02,000 --> 00:24:03,000 esto y esto 760 00:24:03,000 --> 00:24:04,000 es igual 761 00:24:04,000 --> 00:24:05,000 Entonces 762 00:24:05,000 --> 00:24:06,000 ¿Qué pasa? 763 00:24:06,000 --> 00:24:07,000 En un sistema métrico decimal 764 00:24:07,000 --> 00:24:08,000 no voy a coger 765 00:24:08,000 --> 00:24:09,000 la unidad de la baldosa 766 00:24:10,000 --> 00:24:11,000 ¿Qué unidad voy a coger? 767 00:24:13,000 --> 00:24:14,000 ¿En qué se basa 768 00:24:14,000 --> 00:24:15,000 tu sistema métrico? 769 00:24:17,000 --> 00:24:18,000 El primero que coges 770 00:24:22,000 --> 00:24:23,000 ¿Cuál es la primera unidad 771 00:24:23,000 --> 00:24:24,000 que hemos definido? 772 00:24:25,000 --> 00:24:26,000 El metro 773 00:24:26,000 --> 00:24:27,000 Pues ¿Qué unidad de longitud 774 00:24:27,000 --> 00:24:28,000 voy a coger? 775 00:24:28,000 --> 00:24:29,000 ¿El lado de la baldosa 776 00:24:29,000 --> 00:24:30,000 o un metro? 777 00:24:31,000 --> 00:24:32,000 Un metro 778 00:24:34,000 --> 00:24:35,000 Entonces 779 00:24:35,000 --> 00:24:36,000 lo que se hace 780 00:24:36,000 --> 00:24:37,000 es coger 781 00:24:37,000 --> 00:24:38,000 una baldosa 782 00:24:39,000 --> 00:24:40,000 que aquí mide 783 00:24:40,000 --> 00:24:41,000 un metro 784 00:24:41,000 --> 00:24:42,000 y aquí mide 785 00:24:42,000 --> 00:24:43,000 un metro 786 00:24:43,000 --> 00:24:44,000 Pero esta no es 787 00:24:44,000 --> 00:24:45,000 mi unidad de superficie 788 00:24:45,000 --> 00:24:46,000 Esta es la unidad 789 00:24:46,000 --> 00:24:47,000 de longitud 790 00:24:47,000 --> 00:24:48,000 ¿Cuál es la unidad 791 00:24:48,000 --> 00:24:49,000 de superficie? 792 00:24:49,000 --> 00:24:50,000 Esto 793 00:24:52,000 --> 00:24:53,000 ¿Y cómo la llamo? 794 00:25:00,000 --> 00:25:01,000 Pues si el otro 795 00:25:01,000 --> 00:25:02,000 era una baldosa cuadrada 796 00:25:02,000 --> 00:25:03,000 un metro cuadrado 797 00:25:04,000 --> 00:25:05,000 Un cuadrado 798 00:25:05,000 --> 00:25:06,000 de un metro de lado 799 00:25:08,000 --> 00:25:09,000 ¿Eso lo vemos? 800 00:25:10,000 --> 00:25:11,000 ¡Ojo! 801 00:25:11,000 --> 00:25:12,000 Que aunque tengan 802 00:25:12,000 --> 00:25:13,000 nombres parecidos 803 00:25:13,000 --> 00:25:14,000 se distinguen 804 00:25:14,000 --> 00:25:15,000 como unidades de medida 805 00:25:15,000 --> 00:25:16,000 tanto como el litro 806 00:25:16,000 --> 00:25:17,000 y el metro 807 00:25:18,000 --> 00:25:19,000 A que el litro y el metro 808 00:25:19,000 --> 00:25:20,000 entendéis muy bien 809 00:25:20,000 --> 00:25:21,000 que miden cosas diferentes 810 00:25:21,000 --> 00:25:22,000 Pues el metro cuadrado 811 00:25:22,000 --> 00:25:23,000 y el metro 812 00:25:23,000 --> 00:25:24,000 miden cosas diferentes 813 00:25:24,000 --> 00:25:25,000 Porque uno mide 814 00:25:25,000 --> 00:25:26,000 una longitud 815 00:25:26,000 --> 00:25:27,000 que es solo 816 00:25:27,000 --> 00:25:28,000 lo largo de una cuerda 817 00:25:28,000 --> 00:25:29,000 y otro está midiendo 818 00:25:29,000 --> 00:25:30,000 una superficie 819 00:25:30,000 --> 00:25:31,000 que es un plano 820 00:25:31,000 --> 00:25:32,000 No miden cosas iguales 821 00:25:32,000 --> 00:25:33,000 Cosas que suenan 822 00:25:33,000 --> 00:25:34,000 parecido porque 823 00:25:34,000 --> 00:25:35,000 para medir superficies 824 00:25:35,000 --> 00:25:36,000 me baso en la medida 825 00:25:36,000 --> 00:25:37,000 de longitud 826 00:25:37,000 --> 00:25:38,000 básica 827 00:25:38,000 --> 00:25:39,000 que he cogido 828 00:25:39,000 --> 00:25:40,000 que es el metro 829 00:25:41,000 --> 00:25:42,000 Y construyo la baldosa 830 00:25:42,000 --> 00:25:43,000 a través de 831 00:25:43,000 --> 00:25:44,000 un metro con un metro 832 00:25:45,000 --> 00:25:46,000 Pero mi unidad 833 00:25:46,000 --> 00:25:47,000 de superficie 834 00:25:47,000 --> 00:25:48,000 es el metro cuadrado 835 00:25:48,000 --> 00:25:49,000 ¿Y qué me pasa 836 00:25:49,000 --> 00:25:50,000 si yo ahora 837 00:25:50,000 --> 00:25:51,000 quiero las equivalencias? 838 00:25:53,000 --> 00:25:54,000 Pues vamos a ver 839 00:25:55,000 --> 00:25:56,000 Yo no quiero 840 00:25:56,000 --> 00:25:57,000 ahora medir 841 00:25:57,000 --> 00:25:58,000 en metros cuadrados 842 00:25:58,000 --> 00:25:59,000 Quiero medir en algo 843 00:25:59,000 --> 00:26:00,000 que sea 844 00:26:00,000 --> 00:26:01,000 un decímetro 845 00:26:01,000 --> 00:26:02,000 un decímetro cuadrado 846 00:26:03,000 --> 00:26:04,000 que será 847 00:26:04,000 --> 00:26:05,000 un decímetro 848 00:26:05,000 --> 00:26:06,000 por un decímetro 849 00:26:06,000 --> 00:26:07,000 que es 850 00:26:08,000 --> 00:26:09,000 esto de aquí 851 00:26:10,000 --> 00:26:11,000 Quiero saber 852 00:26:11,000 --> 00:26:12,000 cuántos cuadraditos 853 00:26:12,000 --> 00:26:13,000 Voy a ponerlo 854 00:26:13,000 --> 00:26:14,000 de color verde 855 00:26:16,000 --> 00:26:17,000 Quiero saber 856 00:26:17,000 --> 00:26:18,000 cuántos cuadraditos 857 00:26:18,000 --> 00:26:19,000 verdes 858 00:26:19,000 --> 00:26:20,000 equivalen a un azul 859 00:26:22,000 --> 00:26:23,000 ¿Cómo lo podría averiguar? 860 00:26:24,000 --> 00:26:25,000 ¿Por qué? 861 00:26:31,000 --> 00:26:32,000 No, no 862 00:26:32,000 --> 00:26:33,000 Pero déjate de la memoria 863 00:26:33,000 --> 00:26:34,000 y razona con lo que 864 00:26:34,000 --> 00:26:35,000 te estoy dando 865 00:26:35,000 --> 00:26:36,000 Con lo que tienes 866 00:26:36,000 --> 00:26:37,000 en la pizarra 867 00:26:37,000 --> 00:26:38,000 ¿Qué ves? 868 00:26:39,000 --> 00:26:40,000 Tú no ves 869 00:26:40,000 --> 00:26:41,000 la equivalencia 870 00:26:41,000 --> 00:26:42,000 entre un metro cuadrado 871 00:26:42,000 --> 00:26:43,000 y un decímetro cuadrado 872 00:26:43,000 --> 00:26:44,000 porque esa no la sabes 873 00:26:44,000 --> 00:26:45,000 Es la que estamos buscando 874 00:26:45,000 --> 00:26:46,000 Pero tú sí que ves 875 00:26:47,000 --> 00:26:48,000 ¿Qué ves? 876 00:26:51,000 --> 00:26:52,000 Sí 877 00:26:52,000 --> 00:26:53,000 ¿Ya están relacionadas? 878 00:26:55,000 --> 00:26:56,000 Sí 879 00:26:56,000 --> 00:26:57,000 ¿Cómo? 880 00:26:58,000 --> 00:26:59,000 ¿La longitud? 881 00:26:59,000 --> 00:27:00,000 ¿Cómo? 882 00:27:01,000 --> 00:27:03,000 ¿Qué relación de longitud tienen? 883 00:27:04,000 --> 00:27:05,000 ¿Un metro? 884 00:27:06,000 --> 00:27:07,000 ¿Un metro cuánto es? 885 00:27:08,000 --> 00:27:09,000 Diez 886 00:27:09,000 --> 00:27:10,000 ¿Diez qué? 887 00:27:10,000 --> 00:27:11,000 Metros 888 00:27:11,000 --> 00:27:12,000 Ah, diez 889 00:27:16,000 --> 00:27:17,000 Ah, diez unidades 890 00:27:17,000 --> 00:27:18,000 ¿Diez qué? 891 00:27:19,000 --> 00:27:20,000 De decímetros 892 00:27:20,000 --> 00:27:21,000 Claro 893 00:27:21,000 --> 00:27:22,000 Entonces dices 894 00:27:22,000 --> 00:27:23,000 Bueno, yo no puedo relacionar 895 00:27:23,000 --> 00:27:24,000 el cuadradito todavía 896 00:27:25,000 --> 00:27:26,000 Pero como me has dado un metro 897 00:27:26,000 --> 00:27:27,000 y tú quieres el decímetro 898 00:27:27,000 --> 00:27:28,000 Yo el metro y el decímetro 899 00:27:28,000 --> 00:27:29,000 que son unidades de longitud 900 00:27:30,000 --> 00:27:31,000 Sí las sé relacionar 901 00:27:32,000 --> 00:27:33,000 Y yo sé que un metro 902 00:27:33,000 --> 00:27:34,000 son cuántas unidades de longitud 903 00:27:35,000 --> 00:27:36,000 Diez 904 00:27:36,000 --> 00:27:37,000 Diez decímetros 905 00:27:38,000 --> 00:27:39,000 Así que esto lo parto 906 00:27:41,000 --> 00:27:42,000 En diez 907 00:27:43,000 --> 00:27:44,000 Y cada una de ellas 908 00:27:44,000 --> 00:27:45,000 es un decímetro 909 00:27:45,000 --> 00:27:46,000 Y el otro metro, por tanto 910 00:27:51,000 --> 00:27:52,000 En diez 911 00:27:53,000 --> 00:27:54,000 Y entonces puedo saber 912 00:27:54,000 --> 00:27:55,000 cuántas baldosas tengo 913 00:27:55,000 --> 00:27:56,000 en total 914 00:27:57,000 --> 00:27:58,000 ¿Cuántas? 915 00:27:58,000 --> 00:27:59,000 Cien 916 00:27:59,000 --> 00:28:00,000 Cien, diez por el diez 917 00:28:01,000 --> 00:28:02,000 Así que resulta 918 00:28:02,000 --> 00:28:03,000 que este cuadrado 919 00:28:04,000 --> 00:28:05,000 en total 920 00:28:05,000 --> 00:28:06,000 son cien 921 00:28:07,000 --> 00:28:08,000 decímetros cuadraditos 922 00:28:08,000 --> 00:28:09,000 como eso 923 00:28:10,000 --> 00:28:11,000 Así que 924 00:28:11,000 --> 00:28:12,000 ¡Ojo! 925 00:28:12,000 --> 00:28:13,000 Porque para pasar 926 00:28:13,000 --> 00:28:14,000 del decímetro cuadrado 927 00:28:14,000 --> 00:28:15,000 al metro cuadrado 928 00:28:15,000 --> 00:28:16,000 tengo que dividir 929 00:28:16,000 --> 00:28:17,000 entre cien 930 00:28:17,000 --> 00:28:18,000 no entre diez 931 00:28:18,000 --> 00:28:19,000 Y para pasar 932 00:28:19,000 --> 00:28:20,000 del metro cuadrado 933 00:28:20,000 --> 00:28:21,000 al decímetro cuadrado 934 00:28:21,000 --> 00:28:22,000 tengo que multiplicar 935 00:28:22,000 --> 00:28:23,000 por cien 936 00:28:23,000 --> 00:28:24,000 no entre diez 937 00:28:24,000 --> 00:28:25,000 No por diez 938 00:28:25,000 --> 00:28:26,000 Entonces fíjate cómo queda 939 00:28:26,000 --> 00:28:28,000 porque yo tenía esta tabla 940 00:28:31,000 --> 00:28:32,000 Voy a cogerla 941 00:28:46,000 --> 00:28:47,000 Y la voy a pasar aquí 942 00:28:55,000 --> 00:28:56,000 ¿Qué me pasa ahora? 943 00:29:12,000 --> 00:29:13,000 Que ahora 944 00:29:13,000 --> 00:29:14,000 todas estas 945 00:29:14,000 --> 00:29:15,000 para empezar 946 00:29:15,000 --> 00:29:16,000 la unidad 947 00:29:16,000 --> 00:29:17,000 la unidad 948 00:29:17,000 --> 00:29:18,000 perdón 949 00:29:18,000 --> 00:29:19,000 la unidad va a ser 950 00:29:19,000 --> 00:29:20,000 el metro cuadrado 951 00:29:22,000 --> 00:29:23,000 Porque estamos 952 00:29:23,000 --> 00:29:24,000 porque estamos hablando 953 00:29:24,000 --> 00:29:25,000 de superficie 954 00:29:26,000 --> 00:29:27,000 Y cada una 955 00:29:27,000 --> 00:29:28,000 de estas barras 956 00:29:28,000 --> 00:29:29,000 no es una sola 957 00:29:29,000 --> 00:29:30,000 sino que está dividida 958 00:29:32,000 --> 00:29:33,000 en dos 959 00:29:36,000 --> 00:29:37,000 Esperad, voy a hacer 960 00:29:37,000 --> 00:29:38,000 de otro color 961 00:29:38,000 --> 00:29:39,000 para que no las mezcléis 962 00:29:51,000 --> 00:29:52,000 ¿Vale? 963 00:29:52,000 --> 00:29:53,000 Entonces 964 00:29:53,000 --> 00:29:54,000 yo voy a empezar contando 965 00:29:54,000 --> 00:29:55,000 decímetros cuadrados 966 00:29:55,000 --> 00:29:56,000 pequeñitos 967 00:29:58,000 --> 00:29:59,000 Voy a contar 968 00:29:59,000 --> 00:30:00,000 como estoy en decímetro cuadrado 969 00:30:00,000 --> 00:30:01,000 está aquí 970 00:30:01,000 --> 00:30:02,000 un decímetro cuadrado 971 00:30:02,000 --> 00:30:03,000 que sería justo 972 00:30:04,000 --> 00:30:05,000 un cuadradito 973 00:30:05,000 --> 00:30:06,000 como este 974 00:30:06,000 --> 00:30:07,000 ¿Le puedo añadir otro? 975 00:30:09,000 --> 00:30:10,000 Sí, ¿verdad? 976 00:30:10,000 --> 00:30:11,000 Tendría dos y otro 977 00:30:11,000 --> 00:30:12,000 y tendría tres 978 00:30:13,000 --> 00:30:14,000 Entonces 979 00:30:14,000 --> 00:30:15,000 yo voy subiendo aquí 980 00:30:15,000 --> 00:30:16,000 uno 981 00:30:17,000 --> 00:30:18,000 dos 982 00:30:18,000 --> 00:30:19,000 treinta y dos 983 00:30:20,000 --> 00:30:21,000 cincuenta y dos 984 00:30:23,000 --> 00:30:24,000 ochenta y ocho 985 00:30:24,000 --> 00:30:25,000 decímetros cuadrados 986 00:30:29,000 --> 00:30:30,000 noventa y ocho 987 00:30:30,000 --> 00:30:31,000 decímetros cuadrados 988 00:30:35,000 --> 00:30:36,000 noventa y nueve 989 00:30:36,000 --> 00:30:37,000 decímetros cuadrados 990 00:30:38,000 --> 00:30:39,000 pero hasta que 991 00:30:39,000 --> 00:30:40,000 no le sume uno más 992 00:30:41,000 --> 00:30:42,000 y tenga 993 00:30:42,000 --> 00:30:43,000 cien decímetros cuadrados 994 00:30:44,000 --> 00:30:45,000 no voy a tener un metro 995 00:30:46,000 --> 00:30:47,000 cuadrado 996 00:30:48,000 --> 00:30:49,000 ¿Lo entendemos? 997 00:30:49,000 --> 00:30:50,000 Por eso va partido en dos 998 00:30:51,000 --> 00:30:52,000 Entonces, ojo 999 00:30:52,000 --> 00:30:53,000 porque aquí ya 1000 00:30:53,000 --> 00:30:54,000 la cosa cambia 1001 00:30:54,000 --> 00:30:55,000 Si yo te digo 1002 00:30:55,000 --> 00:30:56,000 que tengo 1003 00:30:56,000 --> 00:30:58,000 trescientos veintiocho coma cuatro 1004 00:30:58,000 --> 00:30:59,000 decímetros cuadrados 1005 00:31:00,000 --> 00:31:01,000 ¿Qué te estoy diciendo? 1006 00:31:02,000 --> 00:31:03,000 Que no 1007 00:31:03,000 --> 00:31:04,000 que no 1008 00:31:04,000 --> 00:31:05,000 que no 1009 00:31:05,000 --> 00:31:06,000 que no 1010 00:31:06,000 --> 00:31:07,000 que no 1011 00:31:07,000 --> 00:31:08,000 que no 1012 00:31:08,000 --> 00:31:09,000 que no 1013 00:31:09,000 --> 00:31:10,000 que no 1014 00:31:10,000 --> 00:31:11,000 que no 1015 00:31:11,000 --> 00:31:12,000 ¿Qué te estoy diciendo 1016 00:31:12,000 --> 00:31:13,000 que tengo? 1017 00:31:19,000 --> 00:31:20,000 ¿Dónde pongo el ocho? 1018 00:31:25,000 --> 00:31:26,000 Muy bien 1019 00:31:27,000 --> 00:31:28,000 ¿Pero en la izquierda 1020 00:31:28,000 --> 00:31:29,000 o en la derecha? 1021 00:31:29,000 --> 00:31:30,000 En la derecha 1022 00:31:34,000 --> 00:31:35,000 ocho decímetros cuadrados 1023 00:31:36,000 --> 00:31:37,000 ¿Y luego? 1024 00:31:39,000 --> 00:31:40,000 El cuatro a la derecha 1025 00:31:41,000 --> 00:31:44,000 va el dos, el tres 1026 00:31:46,000 --> 00:31:47,000 Entonces si lo quiero 1027 00:31:47,000 --> 00:31:49,000 en milímetros cuadrados 1028 00:31:49,000 --> 00:31:50,000 ¿Qué sería? 1029 00:31:51,000 --> 00:31:52,000 ¿Cuántos? 1030 00:31:53,000 --> 00:31:54,000 En este caso dos 1031 00:31:54,000 --> 00:31:55,000 No, tres 1032 00:31:59,000 --> 00:32:01,000 ¿Por qué tengo que llegar hasta aquí? 1033 00:32:02,000 --> 00:32:04,000 Porque las únicas unidades que cuento 1034 00:32:04,000 --> 00:32:07,000 son esa, esta, esta, esta 1035 00:32:08,000 --> 00:32:09,000 cada dos 1036 00:32:09,000 --> 00:32:10,000 ¿Ha quedado claro? 1037 00:32:12,000 --> 00:32:13,000 Entonces 1038 00:32:13,000 --> 00:32:14,000 lo que hago 1039 00:32:14,000 --> 00:32:16,000 es como antes 1040 00:32:16,000 --> 00:32:17,000 cuento los lugares 1041 00:32:17,000 --> 00:32:19,000 digo, bueno, yo sé que voy a unidad 1042 00:32:19,000 --> 00:32:20,000 a una unidad más pequeña 1043 00:32:20,000 --> 00:32:21,000 de decímetro 1044 00:32:21,000 --> 00:32:23,000 la quiero en milímetros, ¿no? 1045 00:32:25,000 --> 00:32:27,000 Milímetros cuadrados 1046 00:32:27,000 --> 00:32:29,000 al ser más pequeña voy a multiplicar 1047 00:32:29,000 --> 00:32:32,000 ¿De decí a milí cuántos lugares valen? 1048 00:32:33,000 --> 00:32:34,000 Dos 1049 00:32:34,000 --> 00:32:35,000 Pero cada uno de ellos 1050 00:32:35,000 --> 00:32:36,000 como estoy al cuadrado 1051 00:32:36,000 --> 00:32:37,000 ¿Cuántos ceros son? 1052 00:32:39,000 --> 00:32:40,000 Dos por dos 1053 00:32:40,000 --> 00:32:41,000 que son cuatro 1054 00:32:41,000 --> 00:32:42,000 Es decir 1055 00:32:42,000 --> 00:32:44,000 voy a multiplicar por cuatro 1056 00:32:44,000 --> 00:32:46,000 si tenía la coma aquí 1057 00:32:47,000 --> 00:32:48,000 ahora escribiré 1058 00:32:48,000 --> 00:32:49,000 la coma 1059 00:32:49,000 --> 00:32:51,000 cuatro lugares más allá 1060 00:32:53,000 --> 00:32:54,000 pasando de aquí 1061 00:32:54,000 --> 00:32:55,000 aquí 1062 00:32:55,000 --> 00:32:56,000 ¿Lo hemos entendido? 1063 00:32:57,000 --> 00:32:58,000 Y lo mismo para dividir 1064 00:32:58,000 --> 00:32:59,000 ¿Y qué me pasará 1065 00:32:59,000 --> 00:33:01,000 con las unidades de volumen? 1066 00:33:03,000 --> 00:33:05,000 Necesito cubitos, ¿no? 1067 00:33:05,000 --> 00:33:07,000 Para medir volúmenes 1068 00:33:07,000 --> 00:33:08,000 si para medir el plano 1069 00:33:08,000 --> 00:33:09,000 necesito un cuadrado 1070 00:33:09,000 --> 00:33:10,000 para medir un volumen 1071 00:33:10,000 --> 00:33:11,000 necesito un cubito 1072 00:33:11,000 --> 00:33:12,000 de lado 1073 00:33:12,000 --> 00:33:13,000 un metro 1074 00:33:13,000 --> 00:33:14,000 entonces 1075 00:33:14,000 --> 00:33:15,000 para medir volúmenes 1076 00:33:15,000 --> 00:33:17,000 yo tengo cubitos 1077 00:33:17,000 --> 00:33:19,000 voy a hacer uno grande 1078 00:33:22,000 --> 00:33:23,000 en que esto vale 1079 00:33:23,000 --> 00:33:24,000 un metro 1080 00:33:26,000 --> 00:33:27,000 esto vale 1081 00:33:27,000 --> 00:33:28,000 un metro 1082 00:33:28,000 --> 00:33:29,000 y esto vale 1083 00:33:29,000 --> 00:33:30,000 un metro 1084 00:33:40,000 --> 00:33:41,000 Entonces, fíjate 1085 00:33:41,000 --> 00:33:43,000 yo aquí puedo hacer 1086 00:33:43,000 --> 00:33:45,000 el decímetro cúbico 1087 00:33:45,000 --> 00:33:47,000 o sea, el decímetro cuadrado 1088 00:33:47,000 --> 00:33:49,000 y lo tendré que elevar 1089 00:33:49,000 --> 00:33:50,000 un decímetro 1090 00:33:56,000 --> 00:33:58,000 para tener un decímetro cúbico 1091 00:33:59,000 --> 00:34:00,000 Entonces 1092 00:34:00,000 --> 00:34:01,000 ¿Cómo hago el cambio? 1093 00:34:01,000 --> 00:34:04,000 Pues si el metro son diez decímetros 1094 00:34:04,000 --> 00:34:06,000 este metro son diez decímetros 1095 00:34:06,000 --> 00:34:09,000 y este metro son diez decímetros 1096 00:34:10,000 --> 00:34:11,000 en la plancha de abajo 1097 00:34:11,000 --> 00:34:12,000 me caberán 1098 00:34:13,000 --> 00:34:15,000 cien decímetros cuadrados 1099 00:34:15,000 --> 00:34:16,000 diez veces 1100 00:34:18,000 --> 00:34:19,000 por cien 1101 00:34:20,000 --> 00:34:21,000 mil 1102 00:34:23,000 --> 00:34:25,000 un metro cúbico 1103 00:34:25,000 --> 00:34:26,000 son mil 1104 00:34:28,000 --> 00:34:30,000 cien decímetros cuadrados 1105 00:34:30,000 --> 00:34:32,000 un metro cúbico 1106 00:34:32,000 --> 00:34:36,000 son mil decímetros cúbicos 1107 00:34:37,000 --> 00:34:39,000 necesito mil cubitos 1108 00:34:39,000 --> 00:34:40,000 de decímetro 1109 00:34:40,000 --> 00:34:42,000 de lado un decímetro 1110 00:34:42,000 --> 00:34:44,000 para cubrir 1111 00:34:44,000 --> 00:34:46,000 un cubo de lado un metro 1112 00:34:47,000 --> 00:34:49,000 Entonces, hago lo mismo 1113 00:34:49,000 --> 00:34:51,000 si yo quiero ahora pasar 1114 00:34:51,000 --> 00:34:53,000 ochocientos veintitrés 1115 00:34:53,000 --> 00:34:55,000 coma cuatro 1116 00:34:55,000 --> 00:34:56,000 cuarenta y dos 1117 00:34:56,000 --> 00:34:58,000 cuatrocientos veinticinco 1118 00:35:01,000 --> 00:35:04,000 decámetros cúbicos 1119 00:35:07,000 --> 00:35:10,000 lo quiero en hectómetros cúbicos 1120 00:35:13,000 --> 00:35:15,000 ¿Cómo lo paso? 1121 00:35:15,000 --> 00:35:17,000 ¿La unidad es más grande o más pequeña? 1122 00:35:17,000 --> 00:35:18,000 Más pequeña 1123 00:35:18,000 --> 00:35:20,000 ¿El hectómetro es más grande que el decámetro? 1124 00:35:20,000 --> 00:35:21,000 Más grande 1125 00:35:21,000 --> 00:35:22,000 Entonces voy a dividir 1126 00:35:22,000 --> 00:35:24,000 voy a correr la coma hacia la izquierda 1127 00:35:24,000 --> 00:35:26,000 porque me voy hacia la izquierda 1128 00:35:26,000 --> 00:35:27,000 ¿Cuántos lugares? 1129 00:35:27,000 --> 00:35:29,000 del decámetro al hectómetro 1130 00:35:29,000 --> 00:35:30,000 un lugar 1131 00:35:30,000 --> 00:35:32,000 ¿Pero cuántos ceros por lugar? 1132 00:35:32,000 --> 00:35:33,000 tres 1133 00:35:33,000 --> 00:35:34,000 porque estoy en el cúbico 1134 00:35:34,000 --> 00:35:36,000 entonces moveré la coma 1135 00:35:36,000 --> 00:35:38,000 tres lugares a la izquierda 1136 00:35:38,000 --> 00:35:40,000 ¿Qué va a dar? 1137 00:35:40,000 --> 00:35:41,000 ochocientos cincuenta y cinco 1138 00:35:41,000 --> 00:35:42,000 no 1139 00:35:42,000 --> 00:35:43,000 ocho mil 1140 00:35:43,000 --> 00:35:45,000 tres lugares a la izquierda 1141 00:35:45,000 --> 00:35:46,000 cero coma 1142 00:35:46,000 --> 00:35:47,000 eso es 1143 00:35:47,000 --> 00:35:48,000 cero coma 1144 00:35:48,000 --> 00:35:50,000 ochocientos cincuenta y tres 1145 00:35:50,000 --> 00:35:52,000 cuatrocientos veinticinco 1146 00:35:52,000 --> 00:35:53,000 ochocientos cincuenta y tres mil 1147 00:35:53,000 --> 00:35:55,000 cuatrocientos veinticinco 1148 00:35:55,000 --> 00:35:57,000 ¿Ha quedado claro? 1149 00:35:57,000 --> 00:35:59,000 Entonces esta es la dificultad de los cambios 1150 00:35:59,000 --> 00:36:01,000 ¿Qué se dieron cuenta? 1151 00:36:01,000 --> 00:36:03,000 Yo la superficie la mido en metros cuadrados 1152 00:36:03,000 --> 00:36:05,000 la capacidad 1153 00:36:05,000 --> 00:36:07,000 el volumen lo mido en metros cúbicos 1154 00:36:07,000 --> 00:36:09,000 pero se dieron cuenta que 1155 00:36:09,000 --> 00:36:11,000 en realidad lo que 1156 00:36:11,000 --> 00:36:13,000 ocupo, que es el volumen 1157 00:36:13,000 --> 00:36:15,000 es igual a lo que me cabe 1158 00:36:15,000 --> 00:36:17,000 que es la capacidad 1159 00:36:17,000 --> 00:36:19,000 así que hay una relación 1160 00:36:19,000 --> 00:36:21,000 entre 1161 00:36:21,000 --> 00:36:23,000 las unidades 1162 00:36:23,000 --> 00:36:25,000 de volumen y las unidades 1163 00:36:25,000 --> 00:36:27,000 de capacidad 1164 00:36:27,000 --> 00:36:29,000 nosotros habíamos 1165 00:36:29,000 --> 00:36:31,000 definido los litros y los tenemos que 1166 00:36:31,000 --> 00:36:33,000 definir a partir de las unidades de capacidad 1167 00:36:33,000 --> 00:36:35,000 de volumen porque las conozco 1168 00:36:35,000 --> 00:36:37,000 y como yo sé que lo que me cabe 1169 00:36:37,000 --> 00:36:39,000 es lo mismo que ocupo porque tiene que coincidir 1170 00:36:39,000 --> 00:36:41,000 entonces dijeron bueno, bueno 1171 00:36:41,000 --> 00:36:43,000 pues tenemos que definir el litro 1172 00:36:43,000 --> 00:36:45,000 ¿Cómo lo definimos? 1173 00:36:45,000 --> 00:36:47,000 A ver, un metro es muy grande 1174 00:36:47,000 --> 00:36:49,000 un metro es así 1175 00:36:49,000 --> 00:36:51,000 un metro cúbico es muy 1176 00:36:51,000 --> 00:36:53,000 grande y es poco operativo 1177 00:36:53,000 --> 00:36:55,000 entonces dijeron vamos a coger 1178 00:36:55,000 --> 00:36:57,000 la siguiente más pequeña del metro que es el decímetro 1179 00:36:57,000 --> 00:36:59,000 y el cubo de un decímetro 1180 00:36:59,000 --> 00:37:01,000 pues un decímetro por un decímetro es algo así 1181 00:37:01,000 --> 00:37:03,000 ¿Vale? 1182 00:37:03,000 --> 00:37:05,000 Tiene que ser más pequeño que la baldosa 1183 00:37:05,000 --> 00:37:07,000 porque un metro son tres baldosas 1184 00:37:07,000 --> 00:37:09,000 pues un decímetro sería aproximadamente 1185 00:37:09,000 --> 00:37:11,000 una tercera parte del lado de la baldosa 1186 00:37:11,000 --> 00:37:13,000 ¿Lo veis? ¿Lo entendéis? 1187 00:37:13,000 --> 00:37:15,000 Entonces eso sí es un cubo manejable 1188 00:37:15,000 --> 00:37:17,000 que yo suelo tener para medir litros 1189 00:37:17,000 --> 00:37:19,000 entonces dijeron bueno, vamos a ver 1190 00:37:19,000 --> 00:37:21,000 yo voy a coger un cubo 1191 00:37:21,000 --> 00:37:23,000 que tenga 1192 00:37:23,000 --> 00:37:25,000 de lado un decímetro 1193 00:37:25,000 --> 00:37:27,000 un decímetro 1194 00:37:29,000 --> 00:37:31,000 y un decímetro 1195 00:37:31,000 --> 00:37:33,000 es decir 1196 00:37:33,000 --> 00:37:35,000 ¿Qué volumen estoy cogiendo? 1197 00:37:35,000 --> 00:37:37,000 ¿Uno por uno por uno? 1198 00:37:41,000 --> 00:37:43,000 ¿Un qué? 1199 00:37:43,000 --> 00:37:45,000 Un decímetro cúbico 1200 00:37:45,000 --> 00:37:47,000 Muy bien, estoy cogiendo un decímetro cúbico 1201 00:37:47,000 --> 00:37:49,000 de volumen ¿De acuerdo? 1202 00:37:49,000 --> 00:37:51,000 Y ese decímetro cúbico 1203 00:37:51,000 --> 00:37:53,000 de volumen lo voy a llenar de agua 1204 00:37:53,000 --> 00:37:55,000 ¿Agua? 1205 00:37:55,000 --> 00:37:57,000 ¿Por qué? Porque igual que hemos cogido la tierra 1206 00:37:57,000 --> 00:37:59,000 que es lo único que es común a todos 1207 00:37:59,000 --> 00:38:01,000 ¿Cuál es el único líquido que es común a todos 1208 00:38:01,000 --> 00:38:03,000 y que está accesible 1209 00:38:03,000 --> 00:38:05,000 para poder medir? El agua 1210 00:38:05,000 --> 00:38:07,000 porque está en todas las partes de la tierra 1211 00:38:07,000 --> 00:38:09,000 nosotros sin agua no podemos vivir 1212 00:38:09,000 --> 00:38:11,000 así que como todos tenemos agua vamos a coger el líquido más común 1213 00:38:11,000 --> 00:38:13,000 que es el agua 1214 00:38:13,000 --> 00:38:15,000 y entonces lo rellenaron de agua 1215 00:38:15,000 --> 00:38:17,000 hasta el tope 1216 00:38:17,000 --> 00:38:19,000 ¿Vale? 1217 00:38:29,000 --> 00:38:31,000 Y a eso lo llamaron litro 1218 00:38:33,000 --> 00:38:35,000 A la cantidad de agua 1219 00:38:35,000 --> 00:38:37,000 la capacidad, la cantidad 1220 00:38:37,000 --> 00:38:39,000 de agua que puedo verter 1221 00:38:39,000 --> 00:38:41,000 en un volumen 1222 00:38:41,000 --> 00:38:43,000 de un decímetro cúbico 1223 00:38:43,000 --> 00:38:45,000 lo llamaron litro 1224 00:38:47,000 --> 00:38:49,000 Tendríamos que saber 1225 00:38:49,000 --> 00:38:51,000 ¿Cuántos litros caben en el litro? 1226 00:38:51,000 --> 00:38:53,000 ¡Claro! Entonces ¿Qué me pasa? 1227 00:38:53,000 --> 00:38:55,000 ¡Ojo! Porque ahí hay que tener 1228 00:38:55,000 --> 00:38:57,000 cuidado porque las del litro van de uno en una 1229 00:38:57,000 --> 00:38:59,000 pero las del metro cúbico 1230 00:38:59,000 --> 00:39:01,000 el decímetro cúbico van de tres en tres 1231 00:39:01,000 --> 00:39:03,000 entonces lo que sucede 1232 00:39:03,000 --> 00:39:05,000 con la tabla 1233 00:39:05,000 --> 00:39:07,000 es algo curioso 1234 00:39:11,000 --> 00:39:13,000 Perdón, el negro 1235 00:39:13,000 --> 00:39:15,000 que lo estábamos poniendo en negro 1236 00:39:17,000 --> 00:39:19,000 Vamos a ver 1237 00:39:19,000 --> 00:39:21,000 cómo queda nuestra tabla 1238 00:39:29,000 --> 00:39:31,000 Aquí yo tengo 1239 00:39:31,000 --> 00:39:33,000 el decímetro cúbico 1240 00:39:33,000 --> 00:39:35,000 y son 1241 00:39:37,000 --> 00:39:39,000 tres barras ¿Verdad? 1242 00:39:41,000 --> 00:39:43,000 Aquí yo tengo 1243 00:39:43,000 --> 00:39:45,000 el metro cúbico 1244 00:39:45,000 --> 00:39:47,000 Aquí yo tengo el metro cúbico 1245 00:39:47,000 --> 00:39:49,000 que son 1246 00:39:49,000 --> 00:39:51,000 otras tres barras 1247 00:39:51,000 --> 00:39:53,000 y aquí yo tengo 1248 00:39:53,000 --> 00:39:55,000 el centímetro cúbico 1249 00:39:55,000 --> 00:39:57,000 que son 1250 00:39:59,000 --> 00:40:01,000 otras tres barras 1251 00:40:05,000 --> 00:40:07,000 y hemos dicho 1252 00:40:07,000 --> 00:40:09,000 voy a poner abajo la equivalencia 1253 00:40:09,000 --> 00:40:11,000 hemos dicho 1254 00:40:11,000 --> 00:40:13,000 que esta que es la unidad 1255 00:40:13,000 --> 00:40:15,000 del decímetro cúbico 1256 00:40:15,000 --> 00:40:17,000 es el litro 1257 00:40:21,000 --> 00:40:23,000 por tanto 1258 00:40:27,000 --> 00:40:29,000 ¿Cuál es la siguiente? 1259 00:40:31,000 --> 00:40:33,000 decámetro 1260 00:40:33,000 --> 00:40:35,000 decalitro 1261 00:40:35,000 --> 00:40:37,000 decámetro 1262 00:40:37,000 --> 00:40:39,000 decalitro 1263 00:40:39,000 --> 00:40:41,000 hectolitro 1264 00:40:41,000 --> 00:40:43,000 kilolitro 1265 00:40:45,000 --> 00:40:47,000 vale, pero kilolitro 1266 00:40:47,000 --> 00:40:49,000 fíjate 1267 00:40:49,000 --> 00:40:51,000 yo voy a poner lo que yo ponga aquí 1268 00:40:59,000 --> 00:41:01,000 si no pone nada tengo que completar hasta ahí 1269 00:41:01,000 --> 00:41:03,000 ¿Vale? 1270 00:41:03,000 --> 00:41:05,000 y para abajo ¿Qué sería? 1271 00:41:07,000 --> 00:41:09,000 decilitro 1272 00:41:09,000 --> 00:41:11,000 centilitro 1273 00:41:11,000 --> 00:41:13,000 y mililitro 1274 00:41:13,000 --> 00:41:15,000 en realidad yo aquí 1275 00:41:15,000 --> 00:41:17,000 ¿Qué puedo leer solamente? 1276 00:41:17,000 --> 00:41:19,000 en esta de aquí arriba 1277 00:41:19,000 --> 00:41:21,000 yo solo puedo leer esta 1278 00:41:21,000 --> 00:41:23,000 porque es la de la coma ¿No? 1279 00:41:23,000 --> 00:41:25,000 solo puedo leer esta 1280 00:41:25,000 --> 00:41:27,000 y solo puedo leer esta 1281 00:41:27,000 --> 00:41:29,000 pues yo sé que 1282 00:41:29,000 --> 00:41:31,000 un metro cúbico es un kilolitro 1283 00:41:31,000 --> 00:41:33,000 si yo tengo 1284 00:41:33,000 --> 00:41:35,000 cinco decímetros cúbicos 1285 00:41:35,000 --> 00:41:37,000 tengo cinco litros 1286 00:41:37,000 --> 00:41:39,000 si yo tengo un centímetro cúbico 1287 00:41:39,000 --> 00:41:41,000 tengo un mililitro 1288 00:41:41,000 --> 00:41:43,000 ¿Lo veis? 1289 00:41:43,000 --> 00:41:45,000 son equivalencias 1290 00:41:45,000 --> 00:41:47,000 entonces ¿Qué es lo que hago? 1291 00:41:47,000 --> 00:41:49,000 yo solo puedo hacer las equivalencias 1292 00:41:49,000 --> 00:41:51,000 con eso 1293 00:41:51,000 --> 00:41:53,000 por tanto 1294 00:41:53,000 --> 00:41:55,000 yo me puedo mover en la escala de arriba 1295 00:41:55,000 --> 00:41:57,000 como yo quiera 1296 00:41:57,000 --> 00:41:59,000 pero me tengo que aprender 1297 00:41:59,000 --> 00:42:01,000 una equivalencia 1298 00:42:01,000 --> 00:42:03,000 yo me sé solo esta 1299 00:42:03,000 --> 00:42:05,000 el resto la saco 1300 00:42:05,000 --> 00:42:07,000 entonces que me piden 1301 00:42:07,000 --> 00:42:09,000 que transforme una medida 1302 00:42:09,000 --> 00:42:11,000 de volumen en una medida de capacidad 1303 00:42:11,000 --> 00:42:13,000 ¿Vale? 1304 00:42:13,000 --> 00:42:15,000 dime una cantidad 1305 00:42:17,000 --> 00:42:19,000 voy a borrar lo que hay aquí dentro 1306 00:42:21,000 --> 00:42:23,000 la que tú quieras 1307 00:42:23,000 --> 00:42:25,000 33 1308 00:42:25,000 --> 00:42:27,000 ¿33 qué? 1309 00:42:31,000 --> 00:42:33,000 metros cúbicos 1310 00:42:33,000 --> 00:42:35,000 centímetros cúbicos 1311 00:42:35,000 --> 00:42:37,000 pon algo más 1312 00:42:37,000 --> 00:42:39,000 cero 1313 00:42:39,000 --> 00:42:41,000 no, que me pongas más cifras 1314 00:42:41,000 --> 00:42:43,000 que haya tres o cuatro cifras 1315 00:42:43,000 --> 00:42:45,000 porque si no vamos a hacer poco 1316 00:42:45,000 --> 00:42:47,000 59 1317 00:42:47,000 --> 00:42:49,000 ¿Quieres alguna coma en algún lugar? 1318 00:42:49,000 --> 00:42:51,000 en el primer tres 1319 00:42:51,000 --> 00:42:53,000 te he dado la cantidad 1320 00:42:53,000 --> 00:42:55,000 te falta la unidad 1321 00:42:55,000 --> 00:42:57,000 ¿En qué estás midiendo? 1322 00:42:57,000 --> 00:42:59,000 en decímetros cúbicos 1323 00:42:59,000 --> 00:43:01,000 ¿Y lo quieres pasar a qué? 1324 00:43:01,000 --> 00:43:03,000 a metros cúbicos 1325 00:43:03,000 --> 00:43:05,000 no, eso no me da problemas 1326 00:43:05,000 --> 00:43:07,000 a capacidad 1327 00:43:07,000 --> 00:43:09,000 a decalitros 1328 00:43:09,000 --> 00:43:11,000 ¿Quieres saber cuántos decalitros 1329 00:43:11,000 --> 00:43:13,000 tienes en 3,359 decímetros cúbicos? 1330 00:43:13,000 --> 00:43:15,000 vale 1331 00:43:15,000 --> 00:43:17,000 colócate el 3,359 decímetros cúbicos 1332 00:43:17,000 --> 00:43:19,000 5,3 1333 00:43:19,000 --> 00:43:21,000 ¿Dónde pongo el 3? 1334 00:43:23,000 --> 00:43:25,000 en el decímetro 1335 00:43:25,000 --> 00:43:27,000 ¿Y luego? 1336 00:43:27,000 --> 00:43:29,000 el 3, el 5 y el 9 1337 00:43:29,000 --> 00:43:31,000 vale 1338 00:43:35,000 --> 00:43:37,000 entonces, el decímetro cúbico 1339 00:43:37,000 --> 00:43:39,000 claro, como lo tienes en decímetros cúbicos 1340 00:43:39,000 --> 00:43:41,000 ya lo tienes en litros 1341 00:43:41,000 --> 00:43:43,000 eso no tiene mucho chiste 1342 00:43:43,000 --> 00:43:45,000 vamos a hacerlo con 1343 00:43:45,000 --> 00:43:47,000 la unidad equivalente 1344 00:43:47,000 --> 00:43:49,000 en metros cúbicos 1345 00:43:49,000 --> 00:43:51,000 vale 1346 00:43:51,000 --> 00:43:53,000 entonces sería aquí cambiado 1347 00:44:01,000 --> 00:44:03,000 ¿vale? 1348 00:44:03,000 --> 00:44:05,000 ¿de acuerdo? 1349 00:44:05,000 --> 00:44:07,000 incluso sin el 9 si quieres, te pondría un 0 1350 00:44:07,000 --> 00:44:09,000 si no hubiera un 9, pondría un 0 1351 00:44:09,000 --> 00:44:11,000 ¿lo ves? 1352 00:44:11,000 --> 00:44:13,000 hay que completar hasta la coma 1353 00:44:13,000 --> 00:44:15,000 entonces, yo tengo 3 metros cúbicos 1354 00:44:15,000 --> 00:44:17,000 yo me sé la equivalencia en decímetros cúbicos 1355 00:44:17,000 --> 00:44:19,000 cada vez que yo tengo 1356 00:44:19,000 --> 00:44:21,000 un decímetro cúbico 1357 00:44:23,000 --> 00:44:25,000 sé que es un litro 1358 00:44:25,000 --> 00:44:27,000 entonces, si yo tengo la tabla 1359 00:44:27,000 --> 00:44:29,000 y me echo a la tabla, está chupado 1360 00:44:29,000 --> 00:44:31,000 porque para pasar a decalitro 1361 00:44:31,000 --> 00:44:33,000 ¿dónde tengo que poner la coma? 1362 00:44:35,000 --> 00:44:37,000 pues ya está 1363 00:44:37,000 --> 00:44:39,000 335,9 decalitros 1364 00:44:39,000 --> 00:44:41,000 se acabó el problema 1365 00:44:41,000 --> 00:44:43,000 ¿vale? 1366 00:44:43,000 --> 00:44:45,000 normalmente no gasto tanto tiempo en hacer la tabla 1367 00:44:45,000 --> 00:44:47,000 entonces, si no tengo la tabla 1368 00:44:47,000 --> 00:44:49,000 ¿qué hago? 1369 00:44:49,000 --> 00:44:51,000 lo mismo, digo ¿vale? 1370 00:44:51,000 --> 00:44:53,000 ¿dónde está mi equivalencia? 1371 00:44:53,000 --> 00:44:55,000 en decímetro cúbico 1372 00:44:55,000 --> 00:44:57,000 entonces, lo que hago es que paso por el intermedio 1373 00:44:57,000 --> 00:44:59,000 yo tengo 3,359 metros cúbicos 1374 00:44:59,000 --> 00:45:01,000 ¿cuántos decímetros cúbicos son? 1375 00:45:01,000 --> 00:45:03,000 multiplico por mil 1376 00:45:03,000 --> 00:45:05,000 ¿vale? 1377 00:45:05,000 --> 00:45:07,000 porque es un lugar y es más pequeña 1378 00:45:07,000 --> 00:45:09,000 así que corro la coma a la derecha 1379 00:45:09,000 --> 00:45:11,000 ... 1380 00:45:11,000 --> 00:45:13,000 ... 1381 00:45:13,000 --> 00:45:15,000 ... 1382 00:45:15,000 --> 00:45:17,000 ... 1383 00:45:17,000 --> 00:45:19,000 ... 1384 00:45:19,000 --> 00:45:21,000 ... 1385 00:45:21,000 --> 00:45:23,000 y como es equivalente 1386 00:45:23,000 --> 00:45:25,000 ¿dónde pone decímetro cúbico? 1387 00:45:25,000 --> 00:45:27,000 yo sé que puedo poner 1388 00:45:27,000 --> 00:45:29,000 litro 1389 00:45:29,000 --> 00:45:31,000 y ahora 1390 00:45:31,000 --> 00:45:33,000 de litro a decalitro 1391 00:45:33,000 --> 00:45:35,000 hago una unidad mayor 1392 00:45:35,000 --> 00:45:37,000 corro la coma a un lugar a la izquierda 1393 00:45:37,000 --> 00:45:39,000 luego entonces 1394 00:45:39,000 --> 00:45:41,000 ... 1395 00:45:41,000 --> 00:45:43,000 ... 1396 00:45:43,000 --> 00:45:45,000 ... 1397 00:45:45,000 --> 00:45:47,000 ... 1398 00:45:47,000 --> 00:45:49,000 ... 1399 00:45:49,000 --> 00:45:51,000 ... 1400 00:45:51,000 --> 00:45:53,000 ... 1401 00:45:53,000 --> 00:45:55,000 ... 1402 00:45:55,000 --> 00:45:57,000 ... 1403 00:45:57,000 --> 00:45:59,000 ... 1404 00:45:59,000 --> 00:46:01,000 ... 1405 00:46:01,000 --> 00:46:03,000 ... 1406 00:46:03,000 --> 00:46:05,000 ... 1407 00:46:05,000 --> 00:46:07,000 ... 1408 00:46:07,000 --> 00:46:09,000 ... 1409 00:46:09,000 --> 00:46:11,000 ... 1410 00:46:11,000 --> 00:46:13,000 ... 1411 00:46:13,000 --> 00:46:15,000 ... 1412 00:46:15,000 --> 00:46:17,000 ... 1413 00:46:17,000 --> 00:46:19,000 ... 1414 00:46:19,000 --> 00:46:21,000 ... 1415 00:46:21,000 --> 00:46:23,000 ... 1416 00:46:23,000 --> 00:46:25,000 ... 1417 00:46:25,000 --> 00:46:27,000 ... 1418 00:46:27,000 --> 00:46:29,000 ... 1419 00:46:29,000 --> 00:46:31,000 ... 1420 00:46:31,000 --> 00:46:33,000 ... 1421 00:46:33,000 --> 00:46:35,000 ... 1422 00:46:35,000 --> 00:46:37,000 ... 1423 00:46:37,000 --> 00:46:39,000 ... 1424 00:46:39,000 --> 00:46:41,000 ... 1425 00:46:41,000 --> 00:46:43,000 ... 1426 00:46:43,000 --> 00:46:44,000 ... 1427 00:46:44,000 --> 00:46:46,000 ... 1428 00:46:46,000 --> 00:46:48,000 ... 1429 00:46:48,000 --> 00:46:50,000 ... 1430 00:46:50,000 --> 00:46:52,000 ... 1431 00:46:52,000 --> 00:46:54,000 ... 1432 00:46:54,000 --> 00:46:56,000 ... 1433 00:46:56,000 --> 00:46:58,000 ... 1434 00:46:58,000 --> 00:47:00,000 ... 1435 00:47:00,000 --> 00:47:02,000 ... 1436 00:47:02,000 --> 00:47:04,000 ... 1437 00:47:04,000 --> 00:47:06,000 ... 1438 00:47:06,000 --> 00:47:08,000 ... 1439 00:47:08,000 --> 00:47:10,000 ... 1440 00:47:10,000 --> 00:47:12,000 ... 1441 00:47:12,000 --> 00:47:14,000 ... 1442 00:47:14,000 --> 00:47:16,000 ... 1443 00:47:16,000 --> 00:47:18,000 ... 1444 00:47:18,000 --> 00:47:20,000 ... 1445 00:47:20,000 --> 00:47:22,000 ... 1446 00:47:22,000 --> 00:47:24,000 ... 1447 00:47:24,000 --> 00:47:26,000 ... 1448 00:47:26,000 --> 00:47:28,000 ... 1449 00:47:28,000 --> 00:47:30,000 ... 1450 00:47:30,000 --> 00:47:32,000 ... 1451 00:47:32,000 --> 00:47:34,000 ... 1452 00:47:34,000 --> 00:47:36,000 ... 1453 00:47:36,000 --> 00:47:38,000 ... 1454 00:47:38,000 --> 00:47:40,000 ... 1455 00:47:40,000 --> 00:47:42,000 ... 1456 00:47:42,000 --> 00:47:44,000 ... 1457 00:47:44,000 --> 00:47:46,000 ... 1458 00:47:46,000 --> 00:47:48,000 ... 1459 00:47:48,000 --> 00:47:50,000 ... 1460 00:47:50,000 --> 00:47:52,000 ... 1461 00:47:52,000 --> 00:47:54,000 ... 1462 00:47:54,000 --> 00:47:56,000 ... 1463 00:47:56,000 --> 00:47:58,000 ... 1464 00:47:58,000 --> 00:48:00,000 ... 1465 00:48:00,000 --> 00:48:02,000 ... 1466 00:48:02,000 --> 00:48:04,000 ... 1467 00:48:04,000 --> 00:48:06,000 ... 1468 00:48:06,000 --> 00:48:08,000 ... 1469 00:48:08,000 --> 00:48:10,000 ... 1470 00:48:10,000 --> 00:48:12,000 ... 1471 00:48:12,000 --> 00:48:14,000 ... 1472 00:48:14,000 --> 00:48:16,000 ... 1473 00:48:16,000 --> 00:48:18,000 ... 1474 00:48:18,000 --> 00:48:20,000 ... 1475 00:48:20,000 --> 00:48:22,000 ... 1476 00:48:22,000 --> 00:48:24,000 ... 1477 00:48:24,000 --> 00:48:26,000 ... 1478 00:48:26,000 --> 00:48:28,000 ... 1479 00:48:28,000 --> 00:48:30,000 ... 1480 00:48:30,000 --> 00:48:32,000 ... 1481 00:48:32,000 --> 00:48:34,000 ... 1482 00:48:34,000 --> 00:48:36,000 ... 1483 00:48:36,000 --> 00:48:38,000 ... 1484 00:48:38,000 --> 00:48:40,000 ... 1485 00:48:40,000 --> 00:48:42,000 ... 1486 00:48:42,000 --> 00:48:44,000 ... 1487 00:48:44,000 --> 00:48:46,000 ... 1488 00:48:46,000 --> 00:48:48,000 ... 1489 00:48:48,000 --> 00:48:50,000 ... 1490 00:48:50,000 --> 00:48:52,000 ... 1491 00:48:52,000 --> 00:48:54,000 ... 1492 00:48:54,000 --> 00:48:56,000 ... 1493 00:48:56,000 --> 00:48:58,000 ... 1494 00:48:58,000 --> 00:49:00,000 ... 1495 00:49:00,000 --> 00:49:02,000 ... 1496 00:49:02,000 --> 00:49:04,000 ... 1497 00:49:04,000 --> 00:49:06,000 ... 1498 00:49:06,000 --> 00:49:08,000 ... 1499 00:49:08,000 --> 00:49:10,000 ... 1500 00:49:10,000 --> 00:49:12,000 ... 1501 00:49:12,000 --> 00:49:14,000 ... 1502 00:49:14,000 --> 00:49:16,000 ... 1503 00:49:16,000 --> 00:49:18,000 ... 1504 00:49:18,000 --> 00:49:20,000 ... 1505 00:49:20,000 --> 00:49:22,000 ... 1506 00:49:22,000 --> 00:49:24,000 ... 1507 00:49:24,000 --> 00:49:26,000 ... 1508 00:49:26,000 --> 00:49:28,000 ... 1509 00:49:28,000 --> 00:49:30,000 ... 1510 00:49:30,000 --> 00:49:32,000 ... 1511 00:49:32,000 --> 00:49:34,000 ... 1512 00:49:34,000 --> 00:49:36,000 ... 1513 00:49:36,000 --> 00:49:38,000 ... 1514 00:49:38,000 --> 00:49:40,000 ... 1515 00:49:40,000 --> 00:49:42,000 ... 1516 00:49:42,000 --> 00:49:44,000 ... 1517 00:49:44,000 --> 00:49:46,000 ... 1518 00:49:46,000 --> 00:49:48,000 ... 1519 00:49:48,000 --> 00:49:50,000 ... 1520 00:49:50,000 --> 00:49:52,000 ... 1521 00:49:52,000 --> 00:49:54,000 ... 1522 00:49:54,000 --> 00:49:56,000 ... 1523 00:49:56,000 --> 00:49:58,000 ... 1524 00:49:58,000 --> 00:50:00,000 ... 1525 00:50:00,000 --> 00:50:02,000 ... 1526 00:50:02,000 --> 00:50:04,000 ... 1527 00:50:04,000 --> 00:50:06,000 ... 1528 00:50:06,000 --> 00:50:08,000 ... 1529 00:50:08,000 --> 00:50:10,000 ... 1530 00:50:10,000 --> 00:50:12,000 ... 1531 00:50:12,000 --> 00:50:14,000 ... 1532 00:50:14,000 --> 00:50:16,000 ... 1533 00:50:16,000 --> 00:50:18,000 ... 1534 00:50:18,000 --> 00:50:20,000 ... 1535 00:50:20,000 --> 00:50:22,000 ... 1536 00:50:22,000 --> 00:50:24,000 ... 1537 00:50:24,000 --> 00:50:26,000 ... 1538 00:50:26,000 --> 00:50:28,000 ... 1539 00:50:28,000 --> 00:50:30,000 ... 1540 00:50:30,000 --> 00:50:32,000 ... 1541 00:50:32,000 --> 00:50:34,000 ... 1542 00:50:34,000 --> 00:50:36,000 ... 1543 00:50:36,000 --> 00:50:38,000 ... 1544 00:50:38,000 --> 00:50:40,000 ... 1545 00:50:40,000 --> 00:50:42,000 ... 1546 00:50:42,000 --> 00:50:44,000 ... 1547 00:50:44,000 --> 00:50:46,000 ... 1548 00:50:46,000 --> 00:50:48,000 ... 1549 00:50:48,000 --> 00:50:50,000 ... 1550 00:50:50,000 --> 00:50:52,000 ... 1551 00:50:52,000 --> 00:50:54,000 ... 1552 00:50:54,000 --> 00:50:56,000 ... 1553 00:50:56,000 --> 00:50:58,000 ... 1554 00:50:58,000 --> 00:51:00,000 ... 1555 00:51:00,000 --> 00:51:02,000 ... 1556 00:51:02,000 --> 00:51:04,000 ... 1557 00:51:04,000 --> 00:51:06,000 ... 1558 00:51:06,000 --> 00:51:08,000 ..." 1559 00:51:08,000 --> 00:51:10,000 ... 1560 00:51:10,000 --> 00:51:12,000 ... 1561 00:51:12,000 --> 00:51:14,000 ... 1562 00:51:16,000 --> 00:51:18,000 ... 1563 00:51:18,000 --> 00:51:20,000 ... 1564 00:51:20,000 --> 00:51:22,000 ... 1565 00:51:22,000 --> 00:51:24,000 ... 1566 00:51:24,000 --> 00:51:26,000 ... 1567 00:51:26,000 --> 00:51:28,000 ... 1568 00:51:28,000 --> 00:51:30,000 ... 1569 00:51:30,000 --> 00:51:32,000 ... 1570 00:51:32,000 --> 00:51:34,000 ... 1571 00:51:34,000 --> 00:51:36,000 ... 1572 00:51:36,000 --> 00:51:38,000 ... 1573 00:51:38,000 --> 00:51:40,000 .. 1574 00:51:40,000 --> 00:51:42,000 ... 1575 00:51:42,000 --> 00:51:44,000 ... 1576 00:51:44,000 --> 00:51:46,000 ... 1577 00:51:46,000 --> 00:51:48,000 ... 1578 00:51:48,000 --> 00:51:50,000 ... 1579 00:51:50,000 --> 00:51:52,000 ... 1580 00:51:52,000 --> 00:51:54,000 ... 1581 00:51:54,000 --> 00:51:56,000 ... 1582 00:51:56,000 --> 00:51:58,000 ... 1583 00:51:58,000 --> 00:52:00,000 ... 1584 00:52:00,000 --> 00:52:02,000 ... 1585 00:52:02,000 --> 00:52:04,000 ... 1586 00:52:04,000 --> 00:52:06,000 ... 1587 00:52:06,000 --> 00:52:08,000 ... 1588 00:52:08,000 --> 00:52:10,000 ... 1589 00:52:10,000 --> 00:52:12,000 ... 1590 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00:55:16,000 ... 1667 00:55:16,000 --> 00:55:18,000 ... 1668 00:55:18,000 --> 00:55:20,000 ... 1669 00:55:20,000 --> 00:55:22,000 ... 1670 00:55:22,000 --> 00:55:24,000 ... 1671 00:55:24,000 --> 00:55:26,000 ... 1672 00:55:26,000 --> 00:55:28,000 ... 1673 00:55:28,000 --> 00:55:30,000 ... 1674 00:55:30,000 --> 00:55:32,000 ... 1675 00:55:32,000 --> 00:55:34,000 ... 1676 00:55:34,000 --> 00:55:36,000 ... 1677 00:55:36,000 --> 00:55:38,000 ... 1678 00:55:38,000 --> 00:55:40,000 ... 1679 00:55:40,000 --> 00:55:42,000 ... 1680 00:55:42,000 --> 00:55:44,000 ... 1681 00:55:44,000 --> 00:55:46,000 ... 1682 00:55:46,000 --> 00:55:48,000 ... 1683 00:55:48,000 --> 00:55:50,000 ... 1684 00:55:50,000 --> 00:55:52,000 ... 1685 00:55:52,000 --> 00:55:54,000 ... 1686 00:55:54,000 --> 00:55:56,000 ... 1687 00:55:56,000 --> 00:55:58,000 ... 1688 00:55:58,000 --> 00:56:00,000 ... 1689 00:56:00,000 --> 00:56:02,000 ... 1690 00:56:02,000 --> 00:56:04,000 ... 1691 00:56:04,000 --> 00:56:06,000 ... 1692 00:56:06,000 --> 00:56:08,000 ... 1693 00:56:08,000 --> 00:56:10,000 ... 1694 00:56:10,000 --> 00:56:12,000 ... 1695 00:56:12,000 --> 00:56:14,000 ... 1696 00:56:14,000 --> 00:56:16,000 ... 1697 00:56:16,000 --> 00:56:18,000 ... 1698 00:56:18,000 --> 00:56:20,000 ... 1699 00:56:20,000 --> 00:56:22,000 ... 1700 00:56:22,000 --> 00:56:24,000 ... 1701 00:56:24,000 --> 00:56:26,000 ... 1702 00:56:26,000 --> 00:56:28,000 ... 1703 00:56:28,000 --> 00:56:30,000 ... 1704 00:56:32,000 --> 00:56:34,000 ... 1705 00:56:34,000 --> 00:56:36,000 ... 1706 00:56:36,000 --> 00:56:38,000 ... 1707 00:56:38,000 --> 00:56:40,000 ... 1708 00:56:40,000 --> 00:56:42,000 ... 1709 00:56:42,000 --> 00:56:44,000 ... 1710 00:56:44,000 --> 00:56:46,000 15 1711 00:56:46,000 --> 00:56:48,000 ... 1712 00:56:48,000 --> 00:56:50,000 ... 1713 00:56:50,000 --> 00:56:52,000 ... 1714 00:56:52,000 --> 00:56:54,000 ... 1715 00:56:54,000 --> 00:56:56,000 ... 1716 00:56:56,000 --> 00:56:58,000 ... 1717 00:56:58,000 --> 00:57:00,000 ... 1718 00:57:00,000 --> 00:57:02,000 ... 1719 00:57:02,000 --> 00:57:04,000 ... 1720 00:57:04,000 --> 00:57:06,000 ... 1721 00:57:06,000 --> 00:57:08,000 ... 1722 00:57:08,000 --> 00:57:10,000 ... 1723 00:57:10,000 --> 00:57:12,000 ... 1724 00:57:12,000 --> 00:57:14,000 ... 1725 00:57:14,000 --> 00:57:16,000 ... 1726 00:57:16,000 --> 00:57:18,000 ... 1727 00:57:18,000 --> 00:57:20,000 ... 1728 00:57:20,000 --> 00:57:22,000 ... 1729 00:57:22,000 --> 00:57:24,000 ... 1730 00:57:24,000 --> 00:57:26,000 ... 1731 00:57:26,000 --> 00:57:28,000 ... 1732 00:57:28,000 --> 00:57:30,000 ... 1733 00:57:30,000 --> 00:57:32,000 ... 1734 00:57:32,000 --> 00:57:34,000 ... 1735 00:57:34,000 --> 00:57:36,000 ... 1736 00:57:36,000 --> 00:57:38,000 ... 1737 00:57:38,000 --> 00:57:40,000 ... 1738 00:57:40,000 --> 00:57:42,000 ... 1739 00:57:42,000 --> 00:57:44,000 ... 1740 00:57:44,000 --> 00:57:46,000 ... 1741 00:57:46,000 --> 00:57:48,000 ...