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:

12345679 x 9 = 111111111

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.