[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:03.46,0:00:04.77,Default,,0000,0000,0000,,Neste vídeo, eu gostaria que vocês ficassem mais por dentro do que são Números Negativos.
Dialogue: 0,0:00:04.77,0:00:07.56,Default,,0000,0000,0000,,E também aprender um pouco sobre como somamos e subtraímos eles.
Dialogue: 0,0:00:09.33,0:00:11.61,Default,,0000,0000,0000,,Agora, quando você os vê, eles parecem essa coisa profunda e misteriosa.
Dialogue: 0,0:00:11.61,0:00:14.77,Default,,0000,0000,0000,,Quando nós começamos a contar coisas, nós estamos contando números positivos.
Dialogue: 0,0:00:14.77,0:00:17.35,Default,,0000,0000,0000,,O que um número negativo realmente significa?
Dialogue: 0,0:00:20.84,0:00:22.90,Default,,0000,0000,0000,,Mas quando nós pensamos sobre, você provavelmente encontrou números negativos no seu cotidiano.
Dialogue: 0,0:00:26.41,0:00:30.67,Default,,0000,0000,0000,,Mas antes eu vou dar alguns exemplos, a ideia geral de números negativos, é qualquer número menor que zero.
Dialogue: 0,0:00:30.67,0:00:34.84,Default,,0000,0000,0000,,Menos do que zero.
Dialogue: 0,0:00:37.19,0:00:39.85,Default,,0000,0000,0000,,E se isso soa estranho e abstrato pra você, vamos pensar em algumas aplicações.
Dialogue: 0,0:00:45.25,0:00:47.11,Default,,0000,0000,0000,,Se nós estamos medindo temperatura (e pode ser em Celsius ou Farenheit,
Dialogue: 0,0:00:47.11,0:00:49.88,Default,,0000,0000,0000,,mas vamos dizer que estamos medindo em Celsius),
Dialogue: 0,0:00:51.88,0:00:53.71,Default,,0000,0000,0000,,e deixe-me desenhar uma pequena escala onde poderemos medir a temperatura.
Dialogue: 0,0:00:57.10,0:01:02.91,Default,,0000,0000,0000,,Bem, digamos que aqui é 0 grau Celsius, aqui 1 grau, 2 graus, 3 graus.
Dialogue: 0,0:01:05.82,0:01:10.30,Default,,0000,0000,0000,,Agora, vamos dizer que está um dia bem frio e faz 3 graus Celsius.
Dialogue: 0,0:01:12.00,0:01:16.98,Default,,0000,0000,0000,,E alguém que faz a previsão diz para você que a temperatura irá cair 4 graus no dia seguinte.
Dialogue: 0,0:01:16.98,0:01:21.50,Default,,0000,0000,0000,,Então qual será a temperatura? Como você pode representar essa temperatura?
Dialogue: 0,0:01:25.13,0:01:26.87,Default,,0000,0000,0000,,Bem, se diminuísse apenas 1 grau, seriam 2 graus, mas nós sabemos que ficará 4 graus mais frio.
Dialogue: 0,0:01:26.87,0:01:32.07,Default,,0000,0000,0000,,Se diminuíssem 2 graus, nós teríamos 1 grau.
Dialogue: 0,0:01:32.07,0:01:35.31,Default,,0000,0000,0000,,Se diminuíssem 3 graus, nós teríamos 0 graus.
Dialogue: 0,0:01:38.45,0:01:43.96,Default,,0000,0000,0000,,Mas 3 graus não é suficiente, nós temos que diminuir 4 graus, então nós temos que ir mais um grau abaixo de zero.
Dialogue: 0,0:01:43.96,0:01:50.42,Default,,0000,0000,0000,,E esse 1 abaixo de 0 nós chamamos de "1 negativo".
Dialogue: 0,0:01:52.91,0:01:57.03,Default,,0000,0000,0000,,Então você pode observar que os números sobre a linha, quando você vai para a direita do zero aumentam positivamente,
Dialogue: 0,0:01:57.03,0:02:04.21,Default,,0000,0000,0000,,mas quando você vai para a esquerda do zero você terá -1, -2, -3.
Dialogue: 0,0:02:07.30,0:02:09.95,Default,,0000,0000,0000,,A você terá ---dependendo de como você pensa--- números negativos maiores.
Dialogue: 0,0:02:09.95,0:02:15.37,Default,,0000,0000,0000,,Mas eu quero deixar bem claro: -3 é menor do que -1.
Dialogue: 0,0:02:15.37,0:02:19.49,Default,,0000,0000,0000,,Temos menos calor quando está -3 graus do que quando está -1 grau.
Dialogue: 0,0:02:19.49,0:02:23.33,Default,,0000,0000,0000,,Está mais frio ---existe menos calor.
Dialogue: 0,0:02:23.33,0:02:39.82,Default,,0000,0000,0000,,Então deixe-me esclarecer bem: -100 é bem menor do que -1.
Dialogue: 0,0:02:41.91,0:02:45.09,Default,,0000,0000,0000,,Você pode olhar para o 100 e para o 1 e sua reação instintiva é dizer que o 100 é maior.
Dialogue: 0,0:02:45.09,0:02:46.27,Default,,0000,0000,0000,,mas quando você pensa um pouco, -100 significa que temos a falta de algo.
Dialogue: 0,0:02:52.30,0:02:55.74,Default,,0000,0000,0000,,-100 graus é a falta de calor, então tem bem menos calor quando está -1 grau.
Dialogue: 0,0:02:55.74,0:02:57.49,Default,,0000,0000,0000,,Deixe-me te dar um outro exemplo:
Dialogue: 0,0:02:57.49,0:03:11.26,Default,,0000,0000,0000,,Digamos que na minha conta bancária hoje, eu tenho $10.
Dialogue: 0,0:03:13.11,0:03:14.95,Default,,0000,0000,0000,,Agora, digamos que eu saia por aí (porque eu me sinto bem sobre meus $10), e digamos
Dialogue: 0,0:03:14.95,0:03:21.43,Default,,0000,0000,0000,,que eu gaste $30.
Dialogue: 0,0:03:24.28,0:03:26.86,Default,,0000,0000,0000,,E, por uma questão argumentativa, digamos que eu tenha um banco bem flexível que me deixa gastar
Dialogue: 0,0:03:26.86,0:03:28.35,Default,,0000,0000,0000,,mais dinheiro do que eu tenho (e isso realmente existe!).
Dialogue: 0,0:03:30.42,0:03:32.91,Default,,0000,0000,0000,,Então, eu gastei $30. Como é que a minha conta bancária vai parecer?
Dialogue: 0,0:03:37.84,0:03:43.28,Default,,0000,0000,0000,,E você já pode ter uma resposta intuitiva. Eu devo dinheiro ao banco.
Dialogue: 0,0:03:43.28,0:03:47.13,Default,,0000,0000,0000,,Amanhã, como estará minha conta bancária?
Dialogue: 0,0:03:47.13,0:03:51.64,Default,,0000,0000,0000,,Então, você pode imediatamente dizer: "Olha, se eu tenho $ 10 e gasto $ 30,
Dialogue: 0,0:03:54.22,0:03:56.49,Default,,0000,0000,0000,,20 dólares tem que vir de algum lugar. "E esses $ 20 são do banco.
Dialogue: 0,0:03:56.49,0:03:59.12,Default,,0000,0000,0000,,Então, eu devo $20 ao banco.
Dialogue: 0,0:04:00.79,0:04:07.20,Default,,0000,0000,0000,,E assim, em minha conta bancária, para mostrar o quanto eu tenho, eu poderia dizer que $10 - $30 = -$20.
Dialogue: 0,0:04:13.34,0:04:18.08,Default,,0000,0000,0000,,Então, se eu digo que tenho -$20, significa que eu devo ao banco --- Eu nem mesmo tenho esse dinheiro.
Dialogue: 0,0:04:20.95,0:04:22.54,Default,,0000,0000,0000,,Não só eu não tenho nada, eu devo alguma coisa. Ele vai no sentido inverso.
Dialogue: 0,0:02:46.27,0:02:48.85,Default,,0000,0000,0000,,-100: se é -100º graus Celsius, temos falta de calor.
Dialogue: 0,0:02:48.85,0:02:52.30,Default,,0000,0000,0000,,
Dialogue: 0,0:02:52.30,0:02:55.74,Default,,0000,0000,0000,,
Dialogue: 0,0:02:55.74,0:02:57.49,Default,,0000,0000,0000,,
Dialogue: 0,0:02:57.49,0:03:11.26,Default,,0000,0000,0000,,
Dialogue: 0,0:03:11.26,0:03:13.11,Default,,0000,0000,0000,,
Dialogue: 0,0:03:13.11,0:03:14.95,Default,,0000,0000,0000,,
Dialogue: 0,0:03:14.95,0:03:21.43,Default,,0000,0000,0000,,
Dialogue: 0,0:03:21.43,0:03:22.74,Default,,0000,0000,0000,,
Dialogue: 0,0:03:22.74,0:03:24.28,Default,,0000,0000,0000,,
Dialogue: 0,0:03:24.28,0:03:26.86,Default,,0000,0000,0000,,
Dialogue: 0,0:03:26.86,0:03:28.35,Default,,0000,0000,0000,,
Dialogue: 0,0:03:28.35,0:03:30.42,Default,,0000,0000,0000,,
Dialogue: 0,0:03:30.42,0:03:32.91,Default,,0000,0000,0000,,
Dialogue: 0,0:03:32.91,0:03:35.56,Default,,0000,0000,0000,,
Dialogue: 0,0:03:35.56,0:03:37.84,Default,,0000,0000,0000,,
Dialogue: 0,0:03:37.84,0:03:43.28,Default,,0000,0000,0000,,
Dialogue: 0,0:03:43.28,0:03:47.13,Default,,0000,0000,0000,,
Dialogue: 0,0:03:47.13,0:03:51.64,Default,,0000,0000,0000,,
Dialogue: 0,0:03:51.64,0:03:54.22,Default,,0000,0000,0000,,
Dialogue: 0,0:03:54.22,0:03:56.49,Default,,0000,0000,0000,,
Dialogue: 0,0:03:56.49,0:03:59.12,Default,,0000,0000,0000,,
Dialogue: 0,0:03:59.12,0:04:00.79,Default,,0000,0000,0000,,
Dialogue: 0,0:04:00.79,0:04:07.20,Default,,0000,0000,0000,,
Dialogue: 0,0:04:07.20,0:04:13.34,Default,,0000,0000,0000,,
Dialogue: 0,0:04:13.34,0:04:18.08,Default,,0000,0000,0000,,
Dialogue: 0,0:04:18.08,0:04:19.36,Default,,0000,0000,0000,,
Dialogue: 0,0:04:19.36,0:04:20.95,Default,,0000,0000,0000,,
Dialogue: 0,0:04:20.95,0:04:22.54,Default,,0000,0000,0000,,
Dialogue: 0,0:04:22.54,0:04:25.59,Default,,0000,0000,0000,,
Dialogue: 0,0:04:25.59,0:04:29.23,Default,,0000,0000,0000,,
Dialogue: 0,0:04:29.23,0:04:31.82,Default,,0000,0000,0000,,
Dialogue: 0,0:04:31.82,0:04:33.39,Default,,0000,0000,0000,,
Dialogue: 0,0:04:33.39,0:04:34.96,Default,,0000,0000,0000,,
Dialogue: 0,0:04:34.96,0:04:36.78,Default,,0000,0000,0000,,
Dialogue: 0,0:04:36.78,0:04:38.59,Default,,0000,0000,0000,,
Dialogue: 0,0:04:38.59,0:04:39.83,Default,,0000,0000,0000,,
Dialogue: 0,0:04:39.83,0:04:43.35,Default,,0000,0000,0000,,
Dialogue: 0,0:04:43.35,0:04:47.42,Default,,0000,0000,0000,,
Dialogue: 0,0:04:47.42,0:04:49.85,Default,,0000,0000,0000,,
Dialogue: 0,0:04:49.85,0:04:52.80,Default,,0000,0000,0000,,
Dialogue: 0,0:04:52.80,0:04:56.83,Default,,0000,0000,0000,,
Dialogue: 0,0:04:56.83,0:05:02.21,Default,,0000,0000,0000,,
Dialogue: 0,0:05:02.21,0:05:04.48,Default,,0000,0000,0000,,
Dialogue: 0,0:05:04.48,0:05:06.76,Default,,0000,0000,0000,,
Dialogue: 0,0:05:06.76,0:05:09.75,Default,,0000,0000,0000,,
Dialogue: 0,0:05:09.75,0:05:13.14,Default,,0000,0000,0000,,
Dialogue: 0,0:05:13.14,0:05:17.27,Default,,0000,0000,0000,,
Dialogue: 0,0:05:17.27,0:05:20.40,Default,,0000,0000,0000,,
Dialogue: 0,0:05:20.40,0:05:23.33,Default,,0000,0000,0000,,
Dialogue: 0,0:05:23.33,0:05:24.80,Default,,0000,0000,0000,,
Dialogue: 0,0:05:24.80,0:05:27.23,Default,,0000,0000,0000,,
Dialogue: 0,0:05:27.23,0:05:31.60,Default,,0000,0000,0000,,
Dialogue: 0,0:05:31.60,0:05:34.95,Default,,0000,0000,0000,,
Dialogue: 0,0:05:34.95,0:05:37.27,Default,,0000,0000,0000,,
Dialogue: 0,0:05:37.27,0:05:41.39,Default,,0000,0000,0000,,
Dialogue: 0,0:05:41.39,0:05:43.06,Default,,0000,0000,0000,,
Dialogue: 0,0:05:43.06,0:05:46.08,Default,,0000,0000,0000,,
Dialogue: 0,0:05:46.08,0:05:52.32,Default,,0000,0000,0000,,
Dialogue: 0,0:05:52.32,0:05:56.47,Default,,0000,0000,0000,,
Dialogue: 0,0:05:56.47,0:05:57.71,Default,,0000,0000,0000,,
Dialogue: 0,0:05:57.71,0:06:00.19,Default,,0000,0000,0000,,
Dialogue: 0,0:06:00.19,0:06:01.94,Default,,0000,0000,0000,,
Dialogue: 0,0:06:01.94,0:06:03.70,Default,,0000,0000,0000,,
Dialogue: 0,0:06:03.70,0:06:05.85,Default,,0000,0000,0000,,
Dialogue: 0,0:06:05.85,0:06:10.42,Default,,0000,0000,0000,,
Dialogue: 0,0:06:10.42,0:06:11.77,Default,,0000,0000,0000,,
Dialogue: 0,0:06:11.77,0:06:13.93,Default,,0000,0000,0000,,
Dialogue: 0,0:06:13.93,0:06:15.84,Default,,0000,0000,0000,,
Dialogue: 0,0:06:15.84,0:06:17.75,Default,,0000,0000,0000,,
Dialogue: 0,0:06:17.75,0:06:19.96,Default,,0000,0000,0000,,
Dialogue: 0,0:06:19.96,0:06:21.24,Default,,0000,0000,0000,,
Dialogue: 0,0:06:21.24,0:06:27.85,Default,,0000,0000,0000,,
Dialogue: 0,0:06:27.85,0:06:30.55,Default,,0000,0000,0000,,
Dialogue: 0,0:06:30.55,0:06:33.61,Default,,0000,0000,0000,,
Dialogue: 0,0:06:33.61,0:06:35.08,Default,,0000,0000,0000,,
Dialogue: 0,0:06:35.08,0:06:38.73,Default,,0000,0000,0000,,
Dialogue: 0,0:06:38.73,0:06:42.03,Default,,0000,0000,0000,,
Dialogue: 0,0:06:42.03,0:06:43.89,Default,,0000,0000,0000,,
Dialogue: 0,0:06:43.89,0:06:47.04,Default,,0000,0000,0000,,
Dialogue: 0,0:06:47.04,0:06:50.99,Default,,0000,0000,0000,,
Dialogue: 0,0:06:50.99,0:06:53.04,Default,,0000,0000,0000,,
Dialogue: 0,0:06:53.04,0:06:55.08,Default,,0000,0000,0000,,
Dialogue: 0,0:06:55.08,0:06:56.96,Default,,0000,0000,0000,,
Dialogue: 0,0:06:56.96,0:06:59.01,Default,,0000,0000,0000,,
Dialogue: 0,0:06:59.01,0:07:07.40,Default,,0000,0000,0000,,
Dialogue: 0,0:07:07.40,0:07:09.11,Default,,0000,0000,0000,,
Dialogue: 0,0:07:09.11,0:07:10.07,Default,,0000,0000,0000,,
Dialogue: 0,0:07:10.07,0:07:18.71,Default,,0000,0000,0000,,
Dialogue: 0,0:07:18.71,0:07:24.31,Default,,0000,0000,0000,,
Dialogue: 0,0:07:24.31,0:07:26.54,Default,,0000,0000,0000,,
Dialogue: 0,0:07:26.54,0:07:29.63,Default,,0000,0000,0000,,
Dialogue: 0,0:07:29.63,0:07:33.37,Default,,0000,0000,0000,,
Dialogue: 0,0:07:33.37,0:07:34.99,Default,,0000,0000,0000,,
Dialogue: 0,0:07:34.99,0:07:36.56,Default,,0000,0000,0000,,
Dialogue: 0,0:07:36.56,0:07:38.81,Default,,0000,0000,0000,,
Dialogue: 0,0:07:38.81,0:07:43.98,Default,,0000,0000,0000,,
Dialogue: 0,0:07:43.98,0:07:47.87,Default,,0000,0000,0000,,
Dialogue: 0,0:07:47.87,0:07:49.44,Default,,0000,0000,0000,,
Dialogue: 0,0:07:49.44,0:07:51.01,Default,,0000,0000,0000,,
Dialogue: 0,0:07:51.01,0:07:56.81,Default,,0000,0000,0000,,
Dialogue: 0,0:07:56.84,0:07:59.68,Default,,0000,0000,0000,,
Dialogue: 0,0:07:59.68,0:08:07.02,Default,,0000,0000,0000,,
Dialogue: 0,0:08:07.02,0:08:09.28,Default,,0000,0000,0000,,
Dialogue: 0,0:08:09.28,0:08:11.54,Default,,0000,0000,0000,,
Dialogue: 0,0:08:11.54,0:08:15.39,Default,,0000,0000,0000,,
Dialogue: 0,0:08:15.39,0:08:21.72,Default,,0000,0000,0000,,
Dialogue: 0,0:08:21.72,0:08:23.33,Default,,0000,0000,0000,,
Dialogue: 0,0:08:23.33,0:08:24.75,Default,,0000,0000,0000,,
Dialogue: 0,0:08:24.75,0:08:30.27,Default,,0000,0000,0000,,
Dialogue: 0,0:08:30.27,0:08:34.26,Default,,0000,0000,0000,,
Dialogue: 0,0:08:34.26,0:08:36.56,Default,,0000,0000,0000,,
Dialogue: 0,0:08:36.56,0:08:39.39,Default,,0000,0000,0000,,
Dialogue: 0,0:08:39.39,0:08:42.22,Default,,0000,0000,0000,,
Dialogue: 0,0:08:42.22,0:08:44.75,Default,,0000,0000,0000,,
Dialogue: 0,0:08:44.75,0:08:46.76,Default,,0000,0000,0000,,
Dialogue: 0,0:08:46.76,0:08:47.97,Default,,0000,0000,0000,,
Dialogue: 0,0:08:47.97,0:08:49.39,Default,,0000,0000,0000,,
Dialogue: 0,0:08:49.39,0:08:54.40,Default,,0000,0000,0000,,
Dialogue: 0,0:08:54.40,0:08:55.96,Default,,0000,0000,0000,,
Dialogue: 0,0:08:55.96,0:08:59.93,Default,,0000,0000,0000,,
Dialogue: 0,0:08:59.93,0:09:05.40,Default,,0000,0000,0000,,
Dialogue: 0,0:09:05.40,0:09:07.51,Default,,0000,0000,0000,,
Dialogue: 0,0:09:07.51,0:09:09.64,Default,,0000,0000,0000,,
Dialogue: 0,0:09:09.64,0:09:11.23,Default,,0000,0000,0000,,
Dialogue: 0,0:09:11.23,0:09:12.51,Default,,0000,0000,0000,,
Dialogue: 0,0:09:12.51,0:09:13.43,Default,,0000,0000,0000,,
Dialogue: 0,0:09:13.43,0:09:17.63,Default,,0000,0000,0000,,
Dialogue: 0,0:09:17.63,0:09:20.47,Default,,0000,0000,0000,,
Dialogue: 0,0:09:20.47,0:09:22.11,Default,,0000,0000,0000,,
Dialogue: 0,0:09:22.11,0:09:25.32,Default,,0000,0000,0000,,
Dialogue: 0,0:09:25.32,0:09:29.03,Default,,0000,0000,0000,,
Dialogue: 0,0:09:29.03,0:09:31.34,Default,,0000,0000,0000,,
Dialogue: 0,0:09:31.34,0:09:32.48,Default,,0000,0000,0000,,
Dialogue: 0,0:09:32.48,0:09:35.34,Default,,0000,0000,0000,,