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4 Apr 2006 Fun with Calculator75560 Iseng Dengan Kalkulator It is said that even you who has graduated from High School will say WOW! when you saw this: Katanya nih... walaupun kamu sudah lulus SMU, kamu tetep bakal bilang WOW! waktu kamu lihat ini:
All the result are ONEs, boriiiiing... Semua angka satu, bosaaaaan...
0 x 9 + 1 = 1 1 x 9 + 2 = 11 12 x 9 + 3 = 111 123 x 9 + 4 = 1111 1234 x 9 + 5 = 11111 12345 x 9 + 6 = 111111 123456 x 9 + 7 = 1111111 1234567 x 9 + 8 = 11111111 12345678 x 9 + 9 = 111111111 123456789 x 9 + 10 = 1111111111
The first one is usually boring. Actually, old people thought a way to test calculator's performance with: Pertama memang biasanya membosankan. Sebenarnya, orang dulu pernah memikirkan cara menguji kinerja kalkulator dengan:
12345679 x 9 = 111111111
... but, this doesn't work anymore, I think. ... tapi, kurasa ini ga berguna lagi.
Look, it's mirroring... Lihat, angka-angka ini seperti dicerminkan...
1 x 1 = 1 11 x 11 = 121 111 x 111 = 12321 1111 x 1111 = 1234321 11111 x 11111 = 123454321 111111 x 111111 = 12345654321 1111111 x 1111111 = 1234567654321 11111111 x 11111111 = 123456787654321 111111111 x 111111111 = 12345678987654321
Another Magic of Math... Keajaiban Matematika yang lain...
1 x 8 + 1 = 9 12 x 8 + 2 = 98 123 x 8 + 3 = 987 1234 x 8 + 4 = 9876 12345 x 8 + 5 = 98765 123456 x 8 + 6 = 987654 1234567 x 8 + 7 = 9876543 12345678 x 8 + 8 = 98765432 123456789 x 8 + 9 = 987654321
Then... Check this out... Lalu... Coba lihat yang ini...
1 x 18 + 1 = 19 12 x 18 + 2 = 218 123 x 18 + 3 = 2217 1234 x 18 + 4 = 22216 12345 x 18 + 5 = 222215 123456 x 18 + 6 = 2222214 1234567 x 18 + 7 = 22222213 12345678 x 18 + 8 = 222222212 123456789 x 18 + 9 = 2222222211
Try this one.... Coba yg ini....
123456789 + 987654321 = 1111111110
1 x 142857 = 142857 2 x 142857 = 285714 3 x 142857 = 428571 4 x 142857 = 571428 5 x 142857 = 714285 6 x 142857 = 857142 7 x 142857 = 999999 (Wow.... what a fantastic result) (Waw.... hasil yang Fantastis) All have same numbers but different positions. Semua angkanya sama tapi letak beda.
This is what we do when we were still in elementary school... have you ever known? If we multiply any number with 9, then we add up each digit of the result until it only has 1 digit, the digit is always 9. Let's prove it... Ini adalah cara SD... udah tau belum? bilangan sembarang jika dikalikan 9 lalu hasilnya dijumlah lagi sampai tinggal satu angka, pasti angka itu 9. Kita buktikan...
1 x 9 = 9 2 x 9 = 18, (addition) (jumlah) 1 + 8 = 9 3 x 9 = 27, (addition) (jumlah) 2 + 7 = 9 11 x 9 = 99, (addition) (jumlah) 9 + 9 = 18 (addition) (jumlah) 1 + 8 = 9 (still "= 9") (tetep "= 9" kan?)
and so on until infinity... is this interesting? dst. sampai tak terhingga... OK kan?
There are some foolish game by a foolish magician (actually he is not really foolish because some kids still get excited with it), example:
"Hey, I have an interesting game, it's about numbers and whose kid doesn't like numbers? Try to imagine a number between 2 to 10 in your brain! Listen to me carefully, keep the number in your brain, just for yourself, don't tell anybody! Then... multiply it with 9. Could you do it? because if you can't, you are gonna need to use my calculator. Then... Add the first number with the last number for example if your result is 14 (even only stupid kids will have this result), add 1 with 4, still keep the result in your brain! Divide it with 3... substract it with 1... have you done?"
The foolish magician said, "The result must be two, am I correct?" then the kids get excited and respond, "How do you do that?"
Ada permainan bodoh yang dilakukan oleh pesulap bodoh (sebenarnya dia tidak sebodoh itu sich karena beberapa anak kecil tetap saja tertarik untuk menyimaknya), contoh:
"Hai anak-anak, aku punya permainan menarik, ini adalah permainan tentang angka, siapa yang ga suka angka? Coba bayangkan sebuah angka antara 2 sampai 10 dalam pikiran kamu, hanya dalam pikiran kamu, jangan beritahu siapa-siapa yah! Coba kalikan angka tersebut dengan 9. Bisakah kamu melakukannya? Kalau kamu ga bisa, aku pikir kamu perlu kalkulator. Lalu, tambahkan angka pertama dengan angka terakhir, contoh: kalau hasilnya 14 (walaupun hanya anak bodoh saja yang akan dapat hasil seperti ini), tambahkan 1 dengan 4, lalu simpan hasilnya di dalam otak kamu! Bagi tiga... kurangi satu... sudah selesai?"
Pesulap Bodoh berkata, "Hasilnya pasti sama dengan dua, benar?" lalu anak-anak pun takjub dan berkata, "Bagaimana kamu melakukannya?"
more.... ada lagi....
22 x 9 = 198,
the easy way is 2 x 9 = 18, then put 9 between the numbers, the result is 198....ok? prove these by yourself... cara cepatnya 2 x 9 = 18, lalu selipkan angka 9 ditengah, jadi 198....ok? buktikan sendiri cara cepatnya berikut ini...
33 x 9 = 297 (eg.: 3 x 9 = 27, put 9 in the middle) (contoh: 3 x 9 = 27, selipkan 9 ditengah) 44 x 9 = 396 55 x 9 = 495 66 x 9 = 594 77 x 9 = 693 88 x 9 = 792 99 x 9 = 891
this is similar, just put 99 in the middle.... you don't believe me...? let's prove it! sama aja tuch tinggal selipkan 99 ditengahnya.... gak percaya...? kita buktikan yach...
222 x 9 = 1998 (eg.: 2 x 9 = 18, put 99 between) (contoh: 2 x 9 = 18, selipkan 99 ditengah) 333 x 9 = 2997 444 x 9 = 3996 555 x 9 = 4995
etc. dst.
N.B.: Buat Kiko dan Asa, maaf yah kalau artikel ini mengecewakan kalian.
Written by: adhi Related articles: |