1 00:00:01,290 --> 00:00:02,870 下面來做等級四的乘法運算 2 00:00:02,870 --> 00:00:04,892 來看一些例題 3 00:00:04,892 --> 00:00:10,718 用235乘以-- 4 00:00:10,718 --> 00:00:14,330 用兩種不同顏色來表示 5 00:00:14,330 --> 00:00:21,690 換顏色的時候大家可能要稍微等一下 6 00:00:21,690 --> 00:00:23,498 235乘以47 7 00:00:23,498 --> 00:00:26,960 做等級四的題目 8 00:00:26,960 --> 00:00:31,060 就跟做等級三的方法是一樣的 9 00:00:31,070 --> 00:00:36,165 一開始也是用這個7 10 00:00:36,165 --> 00:00:44,604 乘以235 11 00:00:44,604 --> 00:00:49,750 7×5=35 進3 12 00:00:49,780 --> 00:00:51,030 7×3=21 13 00:00:51,040 --> 00:00:52,560 加上之前的進位3 得24 進2 14 00:00:52,570 --> 00:00:54,390 7×2=14 15 00:00:54,390 --> 00:00:58,240 再加上進位2 16 00:00:58,250 --> 00:01:02,187 得16 17 00:01:02,187 --> 00:01:04,044 7就乘完了 18 00:01:04,044 --> 00:01:06,490 然後要乘這個4 19 00:01:06,500 --> 00:01:09,310 但4是在十位上 20 00:01:09,310 --> 00:01:14,903 所以要在下邊加一個0 21 00:01:14,903 --> 00:01:17,665 大家可以這麽看 22 00:01:17,665 --> 00:01:24,180 乘235的 23 00:01:24,180 --> 00:01:29,800 不是4 而是40 24 00:01:29,810 --> 00:01:32,000 所以要填一個0 25 00:01:32,010 --> 00:01:40,570 但是在寫了0以後 26 00:01:40,570 --> 00:01:43,670 就可以看成是乘4來運算了 27 00:01:43,680 --> 00:01:46,220 4×5=20 進2 28 00:01:46,230 --> 00:01:48,150 把上一步的進位劃掉 29 00:01:48,150 --> 00:01:56,882 4×3=12 30 00:01:56,882 --> 00:02:00,559 加上進上來的2 31 00:02:00,559 --> 00:02:06,085 得14 進1 32 00:02:06,085 --> 00:02:08,082 4×2=8 33 00:02:08,082 --> 00:02:10,791 加上進位1 34 00:02:10,791 --> 00:02:13,110 得9 35 00:02:13,120 --> 00:02:15,165 現在把兩個乘積加起來 36 00:02:15,165 --> 00:02:15,950 5+0=5 37 00:02:15,960 --> 00:02:19,869 4+0=4 38 00:02:19,869 --> 00:02:22,646 6+4=10 進1 39 00:02:22,650 --> 00:02:23,588 1+1+9 得11 40 00:02:23,588 --> 00:02:26,714 所以結果是11045 41 00:02:26,714 --> 00:02:32,070 再做一道 42 00:02:32,080 --> 00:02:40,090 用873乘以-- 43 00:02:40,090 --> 00:02:44,400 我是在臨時湊數 44 00:02:44,410 --> 00:02:46,470 所以比較慢-- 45 00:02:46,470 --> 00:02:47,570 873乘以--找個大數-- 46 00:02:47,580 --> 00:02:49,410 9--個位十位我用不同的顏色寫 47 00:02:49,410 --> 00:02:53,830 這樣大家就能更好理解 48 00:02:53,840 --> 00:02:56,006 我說的是什麽意思了 49 00:02:56,006 --> 00:02:59,310 乘以97 50 00:02:59,310 --> 00:03:02,028 剛用過7了 51 00:03:02,028 --> 00:03:03,525 就98吧 52 00:03:03,525 --> 00:03:06,710 就跟之前的步驟一樣 先看個位 53 00:03:06,710 --> 00:03:12,930 也就是8 54 00:03:12,940 --> 00:03:20,805 8×873 55 00:03:20,805 --> 00:03:22,336 8×3=24 56 00:03:22,352 --> 00:03:25,480 進2 57 00:03:25,490 --> 00:03:28,030 8×7=56 58 00:03:28,030 --> 00:03:29,710 56+2=58 59 00:03:29,710 --> 00:03:36,234 進5 60 00:03:36,234 --> 00:03:42,160 8×8=64 61 00:03:42,160 --> 00:03:45,183 加上剛進的5 62 00:03:45,183 --> 00:03:48,012 就是69 63 00:03:48,012 --> 00:03:50,870 8就乘完了 64 00:03:50,880 --> 00:03:51,900 接下來乘9 65 00:03:51,900 --> 00:03:54,650 或者說 66 00:03:54,660 --> 00:03:55,792 是873乘以90 67 00:03:55,792 --> 00:03:58,220 但是乘以90就是 68 00:03:58,220 --> 00:04:00,595 乘以9-- 69 00:04:00,595 --> 00:04:03,770 後邊再加個0 70 00:04:03,770 --> 00:04:10,971 所以在這寫個0 71 00:04:10,971 --> 00:04:13,848 然後9×3=27 進2 72 00:04:13,848 --> 00:04:23,148 忘了要先劃掉這些進位了 73 00:04:23,148 --> 00:04:26,010 把之前寫的都劃掉 74 00:04:26,020 --> 00:04:28,940 9×3=27 75 00:04:28,940 --> 00:04:32,300 進2 76 00:04:32,310 --> 00:04:36,560 9×7=63 77 00:04:36,560 --> 00:04:38,610 加上進位2 是65 78 00:04:38,620 --> 00:04:41,178 進6 79 00:04:41,178 --> 00:04:43,720 9×8=72 80 00:04:43,730 --> 00:04:45,539 加上進位6 81 00:04:45,539 --> 00:04:46,950 是78 82 00:04:46,950 --> 00:04:48,430 然後再做加法 83 00:04:48,430 --> 00:04:50,860 個位是4 8+7=15 進1 84 00:04:50,870 --> 00:04:54,338 1+9+5=15 進1 85 00:04:54,338 --> 00:04:56,430 1+6+8還是15 進1 86 00:04:56,430 --> 00:04:58,564 1+7=8 87 00:04:58,564 --> 00:05:03,018 手邊又沒有計算器-- 88 00:05:03,018 --> 00:05:04,386 如果我沒算錯的話-- 89 00:05:04,386 --> 00:05:06,134 如果沒有粗心計算錯誤 90 00:05:06,134 --> 00:05:08,393 那麽答案是85554 91 00:05:08,393 --> 00:05:12,135 再做一道 92 00:05:12,135 --> 00:05:19,120 這道題能清楚闡釋我要說的內容 93 00:05:19,120 --> 00:05:23,670 下一道題 94 00:05:23,680 --> 00:05:25,468 差不多是等級五的內容 95 00:05:25,468 --> 00:05:26,500 因爲我要寫的是 96 00:05:26,510 --> 00:05:29,354 兩個三位數相乘 97 00:05:29,404 --> 00:05:32,874 但其實道理是一樣的 98 00:05:32,874 --> 00:05:34,355 希望大家能夠發現運算的規律 99 00:05:34,355 --> 00:05:37,177 那麽 234乘以-- 100 00:05:37,177 --> 00:05:41,220 現在要用三種顏色來寫了 101 00:05:41,220 --> 00:05:47,490 643 102 00:05:47,500 --> 00:05:52,700 首先來算個位的3 103 00:05:52,700 --> 00:05:55,460 8×234 104 00:05:55,470 --> 00:05:59,670 3×4=12 進1 105 00:05:59,680 --> 00:06:02,258 3×3=9 9+1 106 00:06:02,258 --> 00:06:04,228 得10 進1 107 00:06:04,228 --> 00:06:05,469 3×2=6 6+1 108 00:06:05,469 --> 00:06:07,370 得7 109 00:06:07,378 --> 00:06:09,601 個位就做完了 110 00:06:09,601 --> 00:06:13,690 我覺得哪裏做錯了 來看一下 111 00:06:13,690 --> 00:06:16,958 3×4=12--