[Script Info] Title: [Events] Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text Dialogue: 0,0:00:00.50,0:00:04.66,Default,,0000,0000,0000,,我們來把1.21,或是1加上百分之21 Dialogue: 0,0:00:04.66,0:00:09.34,Default,,0000,0000,0000,,乘以千分之43,或是0.043 Dialogue: 0,0:00:09.34,0:00:10.96,Default,,0000,0000,0000,,我希望你暫停這個影片 Dialogue: 0,0:00:10.96,0:00:13.54,Default,,0000,0000,0000,,然後試著自己算算看 Dialogue: 0,0:00:13.54,0:00:16.49,Default,,0000,0000,0000,,我們來想一個非常相似但是 Dialogue: 0,0:00:16.49,0:00:18.56,Default,,0000,0000,0000,,基本上我們不寫小數的問題 Dialogue: 0,0:00:18.56,0:00:23.55,Default,,0000,0000,0000,,我們只要想121乘以43就好 Dialogue: 0,0:00:23.55,0:00:25.52,Default,,0000,0000,0000,,我們知道這要怎麼做 Dialogue: 0,0:00:25.52,0:00:27.10,Default,,0000,0000,0000,,所以我們只要先思考這個問題 Dialogue: 0,0:00:27.10,0:00:29.27,Default,,0000,0000,0000,,作為簡化, Dialogue: 0,0:00:29.27,0:00:31.56,Default,,0000,0000,0000,,然後我們會思考如何從這個東西 Dialogue: 0,0:00:31.56,0:00:33.12,Default,,0000,0000,0000,,變成這個東西 Dialogue: 0,0:00:33.12,0:00:38.02,Default,,0000,0000,0000,,所以我們可以開始--所以我們要說3乘以1是3 Dialogue: 0,0:00:38.02,0:00:39.92,Default,,0000,0000,0000,,3乘以2是6 Dialogue: 0,0:00:39.92,0:00:42.65,Default,,0000,0000,0000,,3乘以1是3 Dialogue: 0,0:00:42.65,0:00:45.93,Default,,0000,0000,0000,,3乘以121是363 Dialogue: 0,0:00:45.93,0:00:47.76,Default,,0000,0000,0000,,現在我們要處理十位數 Dialogue: 0,0:00:47.76,0:00:49.95,Default,,0000,0000,0000,,所以在這裡是一個40 Dialogue: 0,0:00:49.95,0:00:52.75,Default,,0000,0000,0000,,所以既然我們在十位數,就在那裡加一個0 Dialogue: 0,0:00:52.75,0:00:56.90,Default,,0000,0000,0000,,40乘以1是40 Dialogue: 0,0:00:56.90,0:01:00.68,Default,,0000,0000,0000,,40乘以20是800 Dialogue: 0,0:01:00.68,0:01:04.97,Default,,0000,0000,0000,,40乘以100是4000 Dialogue: 0,0:01:04.97,0:01:07.41,Default,,0000,0000,0000,,過去我們已經知道要怎麼做 Dialogue: 0,0:01:07.41,0:01:10.21,Default,,0000,0000,0000,,而現在我們可以只是把這全部加起來 Dialogue: 0,0:01:10.21,0:01:14.88,Default,,0000,0000,0000,,而我們得到--讓我換另一種顏色--3加0是3 Dialogue: 0,0:01:14.88,0:01:17.94,Default,,0000,0000,0000,,6加4是10 Dialogue: 0,0:01:17.94,0:01:21.34,Default,,0000,0000,0000,,1加3加8是12 Dialogue: 0,0:01:21.34,0:01:23.66,Default,,0000,0000,0000,,1加4是5 Dialogue: 0,0:01:23.66,0:01:27.97,Default,,0000,0000,0000,,所以121乘以43是5203 Dialogue: 0,0:01:27.97,0:01:31.24,Default,,0000,0000,0000,,現在,它要如何幫助我們算出這個東西呢? Dialogue: 0,0:01:31.24,0:01:36.89,Default,,0000,0000,0000,,嗯,從1.21變成121,我們 Dialogue: 0,0:01:36.89,0:01:40.02,Default,,0000,0000,0000,,基本上乘以了100 Dialogue: 0,0:01:40.02,0:01:40.61,Default,,0000,0000,0000,,對吧? Dialogue: 0,0:01:40.61,0:01:44.60,Default,,0000,0000,0000,,我們把小數點往右移兩位 Dialogue: 0,0:01:44.60,0:01:49.93,Default,,0000,0000,0000,,而0.043變成43,我們在做什麼? Dialogue: 0,0:01:49.93,0:01:51.70,Default,,0000,0000,0000,,我們在移動小數點,所以我們 Dialogue: 0,0:01:51.70,0:01:55.63,Default,,0000,0000,0000,,把它乘上10,100,1000 Dialogue: 0,0:01:55.63,0:01:59.73,Default,,0000,0000,0000,,我們乘上1000 Dialogue: 0,0:01:59.73,0:02:02.48,Default,,0000,0000,0000,,所以為了從這個東西變成這個東西 Dialogue: 0,0:02:02.48,0:02:05.72,Default,,0000,0000,0000,,或這個東西,我們基本上乘上100 Dialogue: 0,0:02:05.72,0:02:08.53,Default,,0000,0000,0000,,也乘上1000 Dialogue: 0,0:02:08.53,0:02:14.35,Default,,0000,0000,0000,,所以之後回到這個東西,我們必須做除法 Dialogue: 0,0:02:14.35,0:02:20.70,Default,,0000,0000,0000,,我們應該除100然後除 Dialogue: 0,0:02:20.70,0:02:25.65,Default,,0000,0000,0000,,1000,也就是除掉100,000 Dialogue: 0,0:02:25.65,0:02:26.92,Default,,0000,0000,0000,,我們來做這個 Dialogue: 0,0:02:26.92,0:02:32.57,Default,,0000,0000,0000,,所以我們在這裡重寫數字,所以5203 Dialogue: 0,0:02:32.57,0:02:33.98,Default,,0000,0000,0000,,讓我寫成像這樣 Dialogue: 0,0:02:33.98,0:02:39.57,Default,,0000,0000,0000,,只是讓它稍微對齊一點,5203 Dialogue: 0,0:02:39.57,0:02:42.24,Default,,0000,0000,0000,,而我們可以想像在這裡有個小數點 Dialogue: 0,0:02:42.24,0:02:47.15,Default,,0000,0000,0000,,如果我們除以100--所以你除掉10,除掉100-- Dialogue: 0,0:02:47.15,0:02:49.52,Default,,0000,0000,0000,,然後我們想要除掉另一個1000 Dialogue: 0,0:02:49.52,0:02:55.62,Default,,0000,0000,0000,,所以除掉10,除掉100,除掉1000 Dialogue: 0,0:02:55.62,0:02:59.51,Default,,0000,0000,0000,,所以我們的小數點將會在那裡 Dialogue: 0,0:02:59.51,0:03:00.26,Default,,0000,0000,0000,,而我們完成了 Dialogue: 0,0:03:00.26,0:03:06.90,Default,,0000,0000,0000,,1.21乘以0.043等於0.05203 Dialogue: 0,0:03:06.90,0:03:10.27,Default,,0000,0000,0000,,所以其中一個你可以思考的方式是乘上這兩個 Dialogue: 0,0:03:10.27,0:03:13.24,Default,,0000,0000,0000,,數字並忽視那裡的小數 Dialogue: 0,0:03:13.24,0:03:15.39,Default,,0000,0000,0000,,然後你可以算小數點 Dialogue: 0,0:03:15.39,0:03:17.06,Default,,0000,0000,0000,,右邊有多少位數,然後看 Dialogue: 0,0:03:17.06,0:03:24.50,Default,,0000,0000,0000,,有1,2,3,4,5 Dialogue: 0,0:03:24.50,0:03:26.98,Default,,0000,0000,0000,,個位數在小數點右邊 Dialogue: 0,0:03:26.98,0:03:30.79,Default,,0000,0000,0000,,所以在你的答案,你必須有1,2,3 Dialogue: 0,0:03:30.79,0:03:35.68,Default,,0000,0000,0000,,4,5個位數在小數點右邊 Dialogue: 0,0:03:35.68,0:03:37.50,Default,,0000,0000,0000,,為什麼是這樣? Dialogue: 0,0:03:37.50,0:03:39.58,Default,,0000,0000,0000,,嗯,當你忽視小數時,當你只是 Dialogue: 0,0:03:39.58,0:03:43.36,Default,,0000,0000,0000,,假裝這是121乘以43時 Dialogue: 0,0:03:43.36,0:03:46.57,Default,,0000,0000,0000,,你基本上把原來的題目乘上100,000 Dialogue: 0,0:03:46.57,0:03:49.98,Default,,0000,0000,0000,,乘上100和1000--所以從你 Dialogue: 0,0:03:49.98,0:03:51.86,Default,,0000,0000,0000,,忽略小數所算出的答案變成 Dialogue: 0,0:03:51.86,0:03:55.45,Default,,0000,0000,0000,,你需要的有小數的答案,你必須再除以100,000 Dialogue: 0,0:03:55.45,0:03:57.52,Default,,0000,0000,0000,,乘以100,000基本上 Dialogue: 0,0:03:57.52,0:04:02.21,Default,,0000,0000,0000,,就等於把小數點往右移5位 Dialogue: 0,0:04:02.21,0:04:06.11,Default,,0000,0000,0000,,而除以100,000基本上等於把 Dialogue: 0,0:04:06.11,0:04:08.54,Default,,0000,0000,0000,,小數點往左移五位 Dialogue: 0,0:04:08.54,0:04:14.53,Default,,0000,0000,0000,,所以除以10,除以100,除以1000 Dialogue: 0,0:04:14.53,0:04:18.48,Default,,0000,0000,0000,,除以10,000,除以100,000 Dialogue: 0,0:04:18.48,0:04:20.78,Default,,0000,0000,0000,,不管怎樣,我們完成了 Dialogue: 0,0:04:20.78,0:04:24.66,Default,,0000,0000,0000,,這是我們得到的