[Script Info] Title: [Events] Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text Dialogue: 0,0:00:00.74,0:00:03.40,Default,,0000,0000,0000,,現在來看看我們是否可以除以更大的數字 Dialogue: 0,0:00:03.40,0:00:06.86,Default,,0000,0000,0000,,只是作爲起點,爲了除以更大的數字 Dialogue: 0,0:00:06.86,0:00:09.92,Default,,0000,0000,0000,,你至少需要知道乘法運算表 Dialogue: 0,0:00:09.92,0:00:14.55,Default,,0000,0000,0000,,乘法表從一開始,至少到十 Dialogue: 0,0:00:14.55,0:00:17.08,Default,,0000,0000,0000,,一直到10乘以10等於100 Dialogue: 0,0:00:17.08,0:00:20.06,Default,,0000,0000,0000,,然後,從1乘以1開始到2乘以3 Dialogue: 0,0:00:20.06,0:00:22.32,Default,,0000,0000,0000,,一直到10乘以10 Dialogue: 0,0:00:22.32,0:00:23.84,Default,,0000,0000,0000,,至少當我還在上學時 Dialogue: 0,0:00:23.84,0:00:25.34,Default,,0000,0000,0000,,我們已經學透了12乘以12 Dialogue: 0,0:00:25.34,0:00:28.10,Default,,0000,0000,0000,,但10乘以10可能已經夠用了 Dialogue: 0,0:00:28.10,0:00:29.77,Default,,0000,0000,0000,,這是真的只是起點。 Dialogue: 0,0:00:29.77,0:00:32.55,Default,,0000,0000,0000,,因爲要做類似的乘法問題 Dialogue: 0,0:00:32.55,0:00:34.15,Default,,0000,0000,0000,,比如,或者類似的除法問題 Dialogue: 0,0:00:34.15,0:00:39.64,Default,,0000,0000,0000,,假設我用25,我想把它除以5 Dialogue: 0,0:00:39.64,0:00:41.12,Default,,0000,0000,0000,,我可以畫25個物體 Dialogue: 0,0:00:41.12,0:00:44.56,Default,,0000,0000,0000,,然後把它們分成五個一組,或者分成五組 Dialogue: 0,0:00:44.56,0:00:47.59,Default,,0000,0000,0000,,然後看看每組有多少個物體 Dialogue: 0,0:00:47.59,0:00:49.56,Default,,0000,0000,0000,,但最快速的方法是只是思考一下 Dialogue: 0,0:00:49.56,0:00:52.93,Default,,0000,0000,0000,,嗯,5乘以什麽等於25呢,是嗎? Dialogue: 0,0:00:52.93,0:00:58.10,Default,,0000,0000,0000,,5 × ? = 25 Dialogue: 0,0:00:58.10,0:00:59.86,Default,,0000,0000,0000,,如果你知道乘法運算表, Dialogue: 0,0:00:59.86,0:01:02.07,Default,,0000,0000,0000,,尤其是5的乘法運算, Dialogue: 0,0:01:02.07,0:01:06.28,Default,,0000,0000,0000,,你就知道5×5=25 Dialogue: 0,0:01:06.28,0:01:08.83,Default,,0000,0000,0000,,所以像類似的東西,你會立刻就能說出來 Dialogue: 0,0:01:08.85,0:01:11.69,Default,,0000,0000,0000,,因爲你掌握乘法運算表的緣故 Dialogue: 0,0:01:11.69,0:01:14.84,Default,,0000,0000,0000,,5在25裏面出現5次 Dialogue: 0,0:01:14.84,0:01:16.24,Default,,0000,0000,0000,,然後你最好就把5寫在那裏 Dialogue: 0,0:01:16.24,0:01:17.18,Default,,0000,0000,0000,,不要超過兩個, Dialogue: 0,0:01:17.18,0:01:20.04,Default,,0000,0000,0000,,因爲你仍想要注意有標記的地方 Dialogue: 0,0:01:20.04,0:01:21.65,Default,,0000,0000,0000,,你想把5寫在某個地方 Dialogue: 0,0:01:21.65,0:01:25.48,Default,,0000,0000,0000,,它每5個一次地算進這個數,或者恰好5次 Dialogue: 0,0:01:25.48,0:01:26.19,Default,,0000,0000,0000,,同樣的事情。 Dialogue: 0,0:01:26.19,0:01:31.77,Default,,0000,0000,0000,,如果我說七算進四十九。 Dialogue: 0,0:01:31.77,0:01:33.25,Default,,0000,0000,0000,,有多少次? Dialogue: 0,0:01:33.25,0:01:36.77,Default,,0000,0000,0000,,嗯,你會說,這很像7乘以什麽-- Dialogue: 0,0:01:36.77,0:01:39.37,Default,,0000,0000,0000,,你甚至可以,不用問號,把那裏留空白 Dialogue: 0,0:01:39.39,0:01:43.13,Default,,0000,0000,0000,,7乘以什麽等於49? Dialogue: 0,0:01:43.13,0:01:45.45,Default,,0000,0000,0000,,如果你知道乘法運算表, Dialogue: 0,0:01:45.45,0:01:50.09,Default,,0000,0000,0000,,你知道七乘以七等於四十九。 Dialogue: 0,0:01:50.09,0:01:53.14,Default,,0000,0000,0000,,目前爲止我舉的例子都是一個數乘以它本身 Dialogue: 0,0:01:53.15,0:01:55.03,Default,,0000,0000,0000,,讓我舉另一個例子。 Dialogue: 0,0:01:55.03,0:02:01.84,Default,,0000,0000,0000,,讓我做9在54裏有多少次? Dialogue: 0,0:02:01.84,0:02:05.10,Default,,0000,0000,0000,,再次,你做它需要知道乘法運算表 Dialogue: 0,0:02:05.10,0:02:09.29,Default,,0000,0000,0000,,9 乘以什麽等於54? Dialogue: 0,0:02:09.29,0:02:10.90,Default,,0000,0000,0000,,有時,即使你沒有記住它 Dialogue: 0,0:02:10.90,0:02:14.72,Default,,0000,0000,0000,,你可以說 9乘以5等於45 Dialogue: 0,0:02:14.72,0:02:19.47,Default,,0000,0000,0000,,9乘以6會比它多9,所以會等於45 Dialogue: 0,0:02:19.47,0:02:22.38,Default,,0000,0000,0000,,所以9在54裏有6次 Dialogue: 0,0:02:22.38,0:02:23.59,Default,,0000,0000,0000,,因此,就如一個起始點, Dialogue: 0,0:02:23.59,0:02:27.25,Default,,0000,0000,0000,,你需要把你的乘法運算表從1乘以1開始 Dialogue: 0,0:02:27.25,0:02:29.25,Default,,0000,0000,0000,,一直背誦到10乘以10 Dialogue: 0,0:02:29.25,0:02:36.69,Default,,0000,0000,0000,,爲了能快點做一些基礎且相關的問題 Dialogue: 0,0:02:36.70,0:02:38.97,Default,,0000,0000,0000,,現在,和那些已經解決了的問題一起,我們做一些習題 Dialogue: 0,0:02:38.97,0:02:44.02,Default,,0000,0000,0000,,那可能不完全清晰地在你的乘法運算表裏 Dialogue: 0,0:02:44.02,0:02:46.19,Default,,0000,0000,0000,,例如,我想除以-- Dialogue: 0,0:02:46.19,0:02:54.80,Default,,0000,0000,0000,,我在看用43除以3 Dialogue: 0,0:02:54.80,0:02:58.44,Default,,0000,0000,0000,,再一次,這比3乘以10 或者3乘以12還要大 Dialogue: 0,0:02:58.44,0:02:58.93,Default,,0000,0000,0000,,事實上,看 Dialogue: 0,0:02:58.93,0:03:00.95,Default,,0000,0000,0000,,嗯,我做另一題吧 Dialogue: 0,0:03:00.95,0:03:04.26,Default,,0000,0000,0000,,我做23除以3 Dialogue: 0,0:03:04.26,0:03:06.16,Default,,0000,0000,0000,,並且,如果你知道你關於3的乘法表 Dialogue: 0,0:03:06.16,0:03:10.06,Default,,0000,0000,0000,,你會知道沒有哪個數字乘以3準確等於23 Dialogue: 0,0:03:10.06,0:03:10.91,Default,,0000,0000,0000,,我現在就做。 Dialogue: 0,0:03:10.91,0:03:13.28,Default,,0000,0000,0000,,3乘以1等於3 Dialogue: 0,0:03:13.28,0:03:15.69,Default,,0000,0000,0000,,3乘以2等於6 Dialogue: 0,0:03:15.69,0:03:16.87,Default,,0000,0000,0000,,讓我把它們都寫出來 Dialogue: 0,0:03:16.87,0:03:24.69,Default,,0000,0000,0000,,三三得九、 十二、 十五、 十八、 二十一、 二十四、 對嗎? Dialogue: 0,0:03:24.69,0:03:27.70,Default,,0000,0000,0000,,3的乘法中沒有23 Dialogue: 0,0:03:27.70,0:03:29.70,Default,,0000,0000,0000,,那你該怎麽樣做這個除法問題呢? Dialogue: 0,0:03:29.70,0:03:34.43,Default,,0000,0000,0000,,嗯 23內,3的最大倍數是那個? Dialogue: 0,0:03:34.44,0:03:36.64,Default,,0000,0000,0000,,就是21 Dialogue: 0,0:03:36.64,0:03:39.17,Default,,0000,0000,0000,,3乘以多少等於21 Dialogue: 0,0:03:39.17,0:03:44.15,Default,,0000,0000,0000,,嗯,你知道的,3乘以7等於21 Dialogue: 0,0:03:44.15,0:03:48.52,Default,,0000,0000,0000,,所以你說,3的七倍會在23裏 Dialogue: 0,0:03:48.52,0:03:50.57,Default,,0000,0000,0000,,但它並不是完全得到23 Dialogue: 0,0:03:50.57,0:03:53.85,Default,,0000,0000,0000,,因爲7乘以3等於21 Dialogue: 0,0:03:53.85,0:03:55.75,Default,,0000,0000,0000,,所以會有剩下來的部分 Dialogue: 0,0:03:55.75,0:04:00.17,Default,,0000,0000,0000,,因爲,如果你用23減去21,你會得到余數2 Dialogue: 0,0:04:00.17,0:04:08.01,Default,,0000,0000,0000,,因此你可能寫 23除以3等於7, Dialogue: 0,0:04:08.01,0:04:14.100,Default,,0000,0000,0000,,余數--可能我會寫,行,把單詞完整寫出來,余數二 Dialogue: 0,0:04:15.01,0:04:17.05,Default,,0000,0000,0000,,因此它不必得出完全沒剩余的得數 Dialogue: 0,0:04:17.05,0:04:19.79,Default,,0000,0000,0000,,而且,在將來,我們將學到小數和分數 Dialogue: 0,0:04:19.79,0:04:22.75,Default,,0000,0000,0000,,但是現在,你說,它是完全的7倍 Dialogue: 0,0:04:22.75,0:04:24.29,Default,,0000,0000,0000,,但那只能讓我們得到21 Dialogue: 0,0:04:24.29,0:04:26.11,Default,,0000,0000,0000,,還余下2 Dialogue: 0,0:04:26.11,0:04:28.51,Default,,0000,0000,0000,,因此你還可以解決除法問題 Dialogue: 0,0:04:28.51,0:04:31.08,Default,,0000,0000,0000,,盡管不是一個完全的且精確的乘法數字 Dialogue: 0,0:04:31.08,0:04:33.31,Default,,0000,0000,0000,,你用更大的數字去除以。 Dialogue: 0,0:04:33.31,0:04:37.72,Default,,0000,0000,0000,,但讓我們用一些更大的數字做練習 Dialogue: 0,0:04:37.72,0:04:40.52,Default,,0000,0000,0000,,而且,我想你會在這裡看到一種模式。 Dialogue: 0,0:04:40.52,0:04:47.06,Default,,0000,0000,0000,,現在,讓我們做4在-- Dialogue: 0,0:04:47.06,0:04:51.80,Default,,0000,0000,0000,,我們將要選一個十分大的數字--344 Dialogue: 0,0:04:51.80,0:04:53.69,Default,,0000,0000,0000,,當你看到它的時候 Dialogue: 0,0:04:53.69,0:04:57.85,Default,,0000,0000,0000,,你可能會說,嘿,老師,我只知道4乘以10 或者4乘以12 Dialogue: 0,0:04:57.85,0:04:59.85,Default,,0000,0000,0000,,4乘以12等於48 Dialogue: 0,0:04:59.85,0:05:01.34,Default,,0000,0000,0000,,這是一個大得多的數字 Dialogue: 0,0:05:01.34,0:05:02.77,Default,,0000,0000,0000,,它已經超過 Dialogue: 0,0:05:02.77,0:05:05.42,Default,,0000,0000,0000,,我所知道的4的乘法運算表的範圍了 Dialogue: 0,0:05:05.42,0:05:08.38,Default,,0000,0000,0000,,現在我將要告訴你的是 做它的辦法 Dialogue: 0,0:05:08.38,0:05:10.91,Default,,0000,0000,0000,,這是需要知道你4的乘法運算表 Dialogue: 0,0:05:10.91,0:05:11.89,Default,,0000,0000,0000,,因此你按所說的做 Dialogue: 0,0:05:11.89,0:05:16.80,Default,,0000,0000,0000,,4在3裏有多少次 Dialogue: 0,0:05:16.80,0:05:17.48,Default,,0000,0000,0000,,你實際上在說, Dialogue: 0,0:05:17.48,0:05:20.43,Default,,0000,0000,0000,,4在3裏面有多少百次? Dialogue: 0,0:05:20.43,0:05:22.59,Default,,0000,0000,0000,,所以這就是 — — 因爲這是三百,對嗎? Dialogue: 0,0:05:22.59,0:05:24.88,Default,,0000,0000,0000,,這是344 Dialogue: 0,0:05:24.88,0:05:29.93,Default,,0000,0000,0000,,但是4在300裏面沒有100次,或者說-- Dialogue: 0,0:05:29.95,0:05:32.81,Default,,0000,0000,0000,,我想最好的思考方法是--4在3裏有0次 Dialogue: 0,0:05:32.81,0:05:34.47,Default,,0000,0000,0000,,所以你能繼續做下去 Dialogue: 0,0:05:34.47,0:05:36.26,Default,,0000,0000,0000,,4在34裏面有多少次 Dialogue: 0,0:05:36.26,0:05:41.46,Default,,0000,0000,0000,,所以現在我們把注意力集中在34上 Dialogue: 0,0:05:41.46,0:05:43.90,Default,,0000,0000,0000,,34裏面有多少個4呢? Dialogue: 0,0:05:43.90,0:05:46.90,Default,,0000,0000,0000,,在這裡我們可以用我們關於4的乘法表 Dialogue: 0,0:05:46.90,0:05:51.95,Default,,0000,0000,0000,,4--看看,4乘以8等於32 Dialogue: 0,0:05:51.95,0:05:56.21,Default,,0000,0000,0000,,4乘以9等於36 Dialogue: 0,0:05:56.21,0:05:59.63,Default,,0000,0000,0000,,所以4選32,9倍多了點,是不? Dialogue: 0,0:05:59.63,0:06:01.50,Default,,0000,0000,0000,,36比34大 Dialogue: 0,0:06:01.50,0:06:03.75,Default,,0000,0000,0000,,因此4在34裏面有八次 Dialogue: 0,0:06:03.75,0:06:06.09,Default,,0000,0000,0000,,而且還將會有一點剩余 Dialogue: 0,0:06:06.09,0:06:09.03,Default,,0000,0000,0000,,4在34裏面有8次 Dialogue: 0,0:06:09.03,0:06:10.86,Default,,0000,0000,0000,,讓我們弄清楚剩下來的 Dialogue: 0,0:06:10.86,0:06:11.56,Default,,0000,0000,0000,,其實我們說, Dialogue: 0,0:06:11.56,0:06:14.95,Default,,0000,0000,0000,,340裏面有幾十個4? Dialogue: 0,0:06:14.95,0:06:17.81,Default,,0000,0000,0000,,我們實際上說340裏面有80次的4 Dialogue: 0,0:06:17.81,0:06:20.02,Default,,0000,0000,0000,,因爲注意我們在十位上寫了8 Dialogue: 0,0:06:20.02,0:06:22.88,Default,,0000,0000,0000,,但只是爲了我們可以更快地解決這道題 Dialogue: 0,0:06:22.88,0:06:24.95,Default,,0000,0000,0000,,你說34裏面有8次的4 Dialogue: 0,0:06:24.95,0:06:28.77,Default,,0000,0000,0000,,但確定你把8寫在那裏的十位上 Dialogue: 0,0:06:28.77,0:06:30.10,Default,,0000,0000,0000,,8乘以4 Dialogue: 0,0:06:30.10,0:06:30.97,Default,,0000,0000,0000,,我們已經知道是什麽了 Dialogue: 0,0:06:30.97,0:06:34.14,Default,,0000,0000,0000,,8乘以4等於32 Dialogue: 0,0:06:34.14,0:06:36.29,Default,,0000,0000,0000,,然後我們找出其余部分。 Dialogue: 0,0:06:36.29,0:06:38.16,Default,,0000,0000,0000,,34減去32 Dialogue: 0,0:06:38.16,0:06:40.40,Default,,0000,0000,0000,,嗯,4減2等於2 Dialogue: 0,0:06:40.40,0:06:42.03,Default,,0000,0000,0000,,然後這些3都抵消了 Dialogue: 0,0:06:42.03,0:06:43.30,Default,,0000,0000,0000,,所以你只是剩下2 Dialogue: 0,0:06:43.30,0:06:46.12,Default,,0000,0000,0000,,但注意,我們是在十位的列上,是嗎? Dialogue: 0,0:06:46.12,0:06:48.71,Default,,0000,0000,0000,,這整個列就在這裡,這是十位列 Dialogue: 0,0:06:48.71,0:06:55.12,Default,,0000,0000,0000,,其實我們真正想說的是,340裏面有80個4 Dialogue: 0,0:06:55.12,0:06:58.35,Default,,0000,0000,0000,,80乘以4等於320對嗎? Dialogue: 0,0:06:58.35,0:07:00.84,Default,,0000,0000,0000,,因爲我把3寫在了百位數列 Dialogue: 0,0:07:00.84,0:07:05.70,Default,,0000,0000,0000,,然後,還有-- Dialogue: 0,0:07:05.70,0:07:07.22,Default,,0000,0000,0000,,讓我把這點擦掉 Dialogue: 0,0:07:07.22,0:07:08.87,Default,,0000,0000,0000,,我不想弄一條線在那看起來像-- Dialogue: 0,0:07:08.87,0:07:10.51,Default,,0000,0000,0000,,當我除這一列的時候,看起來像1 Dialogue: 0,0:07:10.51,0:07:11.93,Default,,0000,0000,0000,,但有兩個剩下的 Dialogue: 0,0:07:11.93,0:07:14.27,Default,,0000,0000,0000,,但我把2寫在十位上 Dialogue: 0,0:07:14.27,0:07:15.74,Default,,0000,0000,0000,,所以事實上 剩余的是20 Dialogue: 0,0:07:15.74,0:07:16.99,Default,,0000,0000,0000,,讓我把這個4拿下來 Dialogue: 0,0:07:16.99,0:07:18.66,Default,,0000,0000,0000,,因爲我不想只是用340去除以 Dialogue: 0,0:07:18.66,0:07:20.29,Default,,0000,0000,0000,,我用344去除以 Dialogue: 0,0:07:20.29,0:07:22.29,Default,,0000,0000,0000,,所以把4拿下來 Dialogue: 0,0:07:22.29,0:07:24.44,Default,,0000,0000,0000,,我換種顏色 Dialogue: 0,0:07:24.44,0:07:26.67,Default,,0000,0000,0000,,然後 — — — 用另一個方式去想它。 Dialogue: 0,0:07:26.67,0:07:31.25,Default,,0000,0000,0000,,我們剛才說344裏面有80個4,對嗎 Dialogue: 0,0:07:31.25,0:07:33.05,Default,,0000,0000,0000,,我們把8寫在十位上 Dialogue: 0,0:07:33.05,0:07:35.55,Default,,0000,0000,0000,,然後 8乘以4等於320 Dialogue: 0,0:07:35.55,0:07:38.17,Default,,0000,0000,0000,,現在其余部分是24 Dialogue: 0,0:07:38.17,0:07:40.80,Default,,0000,0000,0000,,所以 24裏面有多少個4? Dialogue: 0,0:07:40.80,0:07:41.63,Default,,0000,0000,0000,,嗯,我們都知道的 Dialogue: 0,0:07:41.63,0:07:46.16,Default,,0000,0000,0000,,4乘以6等於24 Dialogue: 0,0:07:46.16,0:07:49.11,Default,,0000,0000,0000,,所以24裏面有6個4 Dialogue: 0,0:07:49.11,0:07:50.68,Default,,0000,0000,0000,,我們把這寫在個位上 Dialogue: 0,0:07:50.68,0:07:53.48,Default,,0000,0000,0000,,6乘以4等於24 Dialogue: 0,0:07:53.48,0:07:54.56,Default,,0000,0000,0000,,然後我們減去 Dialogue: 0,0:07:54.56,0:07:56.27,Default,,0000,0000,0000,,24減24 Dialogue: 0,0:07:56.27,0:07:58.49,Default,,0000,0000,0000,,那是--我們在這裡減去,每個都這樣 Dialogue: 0,0:07:58.49,0:07:59.53,Default,,0000,0000,0000,,我們得到了0。 Dialogue: 0,0:07:59.53,0:08:01.05,Default,,0000,0000,0000,,因此,沒有剩余部分。 Dialogue: 0,0:08:01.05,0:08:05.85,Default,,0000,0000,0000,,所以344裏面有準確的86個4 Dialogue: 0,0:08:05.85,0:08:09.18,Default,,0000,0000,0000,,如果你把344個物體 分成每組四個 Dialogue: 0,0:08:09.18,0:08:10.90,Default,,0000,0000,0000,,你會得到八十六個組。 Dialogue: 0,0:08:10.90,0:08:12.95,Default,,0000,0000,0000,,或者如果你把它們分成86個組 Dialogue: 0,0:08:12.95,0:08:13.88,Default,,0000,0000,0000,,你會得到每組4個 Dialogue: 0,0:08:13.88,0:08:15.64,Default,,0000,0000,0000,,讓我們做更多的幾個問題。 Dialogue: 0,0:08:15.64,0:08:18.44,Default,,0000,0000,0000,,我想你已經找到竅門了 Dialogue: 0,0:08:18.44,0:08:21.18,Default,,0000,0000,0000,,讓我做七 — — 我會做一個簡單的。 Dialogue: 0,0:08:21.18,0:08:24.79,Default,,0000,0000,0000,,91裏面的7 Dialogue: 0,0:08:24.79,0:08:28.39,Default,,0000,0000,0000,,又一次,好了,這又是超過了7乘以12 Dialogue: 0,0:08:28.39,0:08:31.34,Default,,0000,0000,0000,,等於84,這是你可以從乘法計算表知道的 Dialogue: 0,0:08:31.34,0:08:34.65,Default,,0000,0000,0000,,因此我們用上一題的方法做這條題 Dialogue: 0,0:08:34.65,0:08:37.75,Default,,0000,0000,0000,,9裏面有多少個7? Dialogue: 0,0:08:37.75,0:08:41.22,Default,,0000,0000,0000,,9裏面有1個7 Dialogue: 0,0:08:41.22,0:08:44.64,Default,,0000,0000,0000,,1乘以7等於7 Dialogue: 0,0:08:44.64,0:08:48.33,Default,,0000,0000,0000,,然後9減7 得到2 Dialogue: 0,0:08:48.33,0:08:51.19,Default,,0000,0000,0000,,然後你把個位的數拿下來 Dialogue: 0,0:08:51.19,0:08:51.77,Default,,0000,0000,0000,,21 Dialogue: 0,0:08:51.77,0:08:53.04,Default,,0000,0000,0000,,請記住,這看起來像魔術, Dialogue: 0,0:08:53.04,0:08:57.54,Default,,0000,0000,0000,,但我們是真的說,90裏面有10個7 Dialogue: 0,0:08:57.54,0:08:59.96,Default,,0000,0000,0000,,因爲我們把1寫在十位上 Dialogue: 0,0:08:59.96,0:09:02.47,Default,,0000,0000,0000,,10乘以7等於70 Dialogue: 0,0:09:02.47,0:09:05.05,Default,,0000,0000,0000,,對嗎?如果你喜歡 你也可以把0寫在那裏 Dialogue: 0,0:09:05.05,0:09:08.38,Default,,0000,0000,0000,,然後91減70等於21 Dialogue: 0,0:09:08.38,0:09:12.64,Default,,0000,0000,0000,,所以91裏面有10個7,余21 Dialogue: 0,0:09:12.64,0:09:15.78,Default,,0000,0000,0000,,然後你說,21除以7-- 你知道的! Dialogue: 0,0:09:15.78,0:09:17.59,Default,,0000,0000,0000,,7乘以3等於21 Dialogue: 0,0:09:17.59,0:09:20.17,Default,,0000,0000,0000,,所以21裏面有3個7 Dialogue: 0,0:09:20.17,0:09:22.71,Default,,0000,0000,0000,,3乘以7等於21 Dialogue: 0,0:09:22.71,0:09:24.55,Default,,0000,0000,0000,,你把它們相互減去 Dialogue: 0,0:09:24.55,0:09:26.38,Default,,0000,0000,0000,,余數爲0 Dialogue: 0,0:09:26.38,0:09:31.91,Default,,0000,0000,0000,,所以91除以7等於13 Dialogue: 0,0:09:31.91,0:09:32.53,Default,,0000,0000,0000,,讓我們做另一題。 Dialogue: 0,0:09:32.53,0:09:35.86,Default,,0000,0000,0000,,我不會停下來去解釋一下這全部的數位 Dialogue: 0,0:09:35.86,0:09:36.80,Default,,0000,0000,0000,,我想 你知道的 Dialogue: 0,0:09:36.80,0:09:41.57,Default,,0000,0000,0000,,我想,至少,通過這個影片你可以很好地掌握它 Dialogue: 0,0:09:41.58,0:09:44.99,Default,,0000,0000,0000,,所以,讓我們來做7--我一直在用7 Dialogue: 0,0:09:44.99,0:09:46.51,Default,,0000,0000,0000,,用一個不同的數字做 Dialogue: 0,0:09:46.51,0:09:56.56,Default,,0000,0000,0000,,例如,608裏面有多少個8 Dialogue: 0,0:09:56.56,0:09:59.44,Default,,0000,0000,0000,,所以6裏面有多少個8 Dialogue: 0,0:09:59.44,0:10:00.74,Default,,0000,0000,0000,,0個 Dialogue: 0,0:10:00.74,0:10:01.98,Default,,0000,0000,0000,,讓我繼續 Dialogue: 0,0:10:01.98,0:10:05.36,Default,,0000,0000,0000,,60裏面有多少個8 Dialogue: 0,0:10:05.36,0:10:06.82,Default,,0000,0000,0000,,讓我把8寫下來 Dialogue: 0,0:10:06.82,0:10:09.11,Default,,0000,0000,0000,,讓我在這裡畫一條線,這樣我們就不會感到混亂 Dialogue: 0,0:10:09.11,0:10:11.34,Default,,0000,0000,0000,,讓我向下挪一點 Dialogue: 0,0:10:11.34,0:10:13.76,Default,,0000,0000,0000,,我需要在數字上面留點兒空白 Dialogue: 0,0:10:13.76,0:10:15.58,Default,,0000,0000,0000,,所以60裏面有多少個8 Dialogue: 0,0:10:15.58,0:10:19.59,Default,,0000,0000,0000,,我們知道 8 乘以7等於56 Dialogue: 0,0:10:19.59,0:10:23.33,Default,,0000,0000,0000,,然後8乘以8等於64 Dialogue: 0,0:10:23.33,0:10:25.64,Default,,0000,0000,0000,,所以8-- 64是太大了 Dialogue: 0,0:10:25.64,0:10:26.77,Default,,0000,0000,0000,,所以不是這個 Dialogue: 0,0:10:26.77,0:10:29.88,Default,,0000,0000,0000,,所以60裏面的8,有7次 Dialogue: 0,0:10:29.88,0:10:31.74,Default,,0000,0000,0000,,還有些會余下 Dialogue: 0,0:10:31.74,0:10:34.60,Default,,0000,0000,0000,,所以60裏面有7個8 Dialogue: 0,0:10:34.60,0:10:35.73,Default,,0000,0000,0000,,因爲我們在做整個60 Dialogue: 0,0:10:35.73,0:10:38.80,Default,,0000,0000,0000,,我們把7寫在60的個位上 Dialogue: 0,0:10:38.80,0:10:41.06,Default,,0000,0000,0000,,這是整個數的十位 Dialogue: 0,0:10:41.06,0:10:44.97,Default,,0000,0000,0000,,7乘以8,我們知道,是56 Dialogue: 0,0:10:44.97,0:10:47.10,Default,,0000,0000,0000,,60減56 Dialogue: 0,0:10:47.10,0:10:48.03,Default,,0000,0000,0000,,就是4 Dialogue: 0,0:10:48.03,0:10:48.99,Default,,0000,0000,0000,,我們可以在腦裏把它做出來 Dialogue: 0,0:10:48.99,0:10:50.27,Default,,0000,0000,0000,,或者如果我想,我可以借 Dialogue: 0,0:10:50.27,0:10:51.51,Default,,0000,0000,0000,,這是十 Dialogue: 0,0:10:51.51,0:10:53.38,Default,,0000,0000,0000,,這將是五。 Dialogue: 0,0:10:53.38,0:10:54.89,Default,,0000,0000,0000,,十減六等於四。 Dialogue: 0,0:10:54.89,0:10:59.93,Default,,0000,0000,0000,,然後你把這個8拿下來 Dialogue: 0,0:10:59.93,0:11:02.74,Default,,0000,0000,0000,,48裏面有多少個8? Dialogue: 0,0:11:02.75,0:11:06.26,Default,,0000,0000,0000,,8乘以6等於多少 Dialogue: 0,0:11:06.26,0:11:09.21,Default,,0000,0000,0000,,嗯,八乘以六完全是四十八。 Dialogue: 0,0:11:09.21,0:11:13.17,Default,,0000,0000,0000,,所以8乘以-- 48裏面有6個8 Dialogue: 0,0:11:13.17,0:11:17.18,Default,,0000,0000,0000,,6乘以8是48 Dialogue: 0,0:11:17.18,0:11:18.18,Default,,0000,0000,0000,,然後你減去 Dialogue: 0,0:11:18.18,0:11:19.50,Default,,0000,0000,0000,,我們也在這裡減 Dialogue: 0,0:11:19.50,0:11:22.02,Default,,0000,0000,0000,,48減48=0 Dialogue: 0,0:11:22.02,0:11:25.26,Default,,0000,0000,0000,,因此,再一次我們得到余數爲零。 Dialogue: 0,0:11:25.26,0:11:28.80,Default,,0000,0000,0000,,所以希望,這能給你一些竅門去解決這些更大的除法問題 Dialogue: 0,0:11:28.80,0:11:31.01,Default,,0000,0000,0000,,而且我們真正需要知道去怎樣去做 Dialogue: 0,0:11:31.01,0:11:34.24,Default,,0000,0000,0000,,去解決這些問題的,是我們的乘法運算表 Dialogue: 0,0:11:34.24,0:11:38.38,Default,,0000,0000,0000,,或者多達10乘以10,或者10乘以12