.::Wonder Of Math::.

Subject:Magic of math

A)

0 x 9 + 0 = 0

1 x 9 + 1 = 10

12 x 9 + 2 = 110

123 x 9 + 3 = 1110

1234 x 9 + 4 = 11110

12345 x 9 + 5 = 111110

123456 x 9 + 6 = 1111110

1234567 x 9 + 7 = 11111110

12345678 x 9 + 8 = 111111110

123456789 x 9 + 9 = 1111111110



B)

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





C)

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





D)

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



E)

123456789 + 987654321 = 1111111110



F)

1 x 142857 = 142857

2 x 142857 = 285714 (angka sama susunan berbeza)

3 x 142857 = 428571 (angka sama susunan berbeza)

4 x 142857 = 571428 (angka sama susunan berbeza)

5 x 142857 = 714285 (angka sama susunan berbeza)

6 x 142857 = 857142 (angka sama susunan berbeza)

7 x 142857 = 999999 (wauuu... ... Fantastikkk)





G)

Sebarang nilai jika dikalikan 9 maka jumlah hasilnya = 9 kita buktikan... ..

1 x 9 = 9

2 x 9 = 18, jumlah 1 + 8 = 9

3 x 9 = 27, jumlah 2 + 7 = 9

4 x 9 = 36, jumlah 3 + 6 = 9

dst. sampai tak terhingga... ..



H)

22 x 9 = 198... ..cara cepatnya 2 x 9 = 18, lalu selitkan angka 9 ditengah, jadi 198... .

buktikan sendiri cara cepat ini...

33 x 9 = 297, cara cepat 3 x 9, 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



I)

Jika 3 angka kembar pula, selitkan angka 99 ditengahnya ... .

kita buktikan... ...

222 x 9 = 1998, cara cepat 2 x 9= 18, selitkan 99 ditengah

333 x 9 = 2997

444 x 9 = 3996

555 x 9 = 4995

dst... ... .

aku_EnSeM

Anyone who enter this thread, take a look at my thread, "Dah Pening Baca Thread Yang Serius? Masuk Sini"

On page 6, see the wonder of the digit, 9.
All of the above, the wonder of math, mostly contain the digit 9..


Take a look at this.

x=0.99999999999..........
10x=9.999999999999999...........
10x-x=9
9x=9
x=1 ??? :kant:

And also this

1/9=0.1111111111111........
2/9=0.222222222222........
3/9=0.33333333333333.......
4/9=0.44444444444444......
5/9=0.555555555555555.......
6/9=0.66666666666666.....
7/9=0.777777777777777.......
8/9=0.888888888888888......

From the above, what would u expect for 9/9? If u have never counted before, u may say 0.9999999999...

But in fact, 9/9=1???? :kant:


And last but not least....

Just find a fractional form for 0.999999999999999............

By using the knowledge of algebra, u wont found the answer.... :lol

Atomic_Omnikid

Originally posted by aku_EnSeM at 13-7-2006 20:52
Anyone who enter this thread, take a look at my thread, "Dah Pening Baca Thread Yang Serius? Masuk Sini"

On page 6, see the wonder of the digit, 9.
All of the above, the wonder of mat ...

found a link explaining y 0.9999999999= 1

o.99=1

bunga_sakura

yg ni leh guna pakai kot...

http://www.math.com/tables/general/addtable.htm


http://www.math.com/tables/general/multiplytable.htm

[ Last edited by  bunga_sakura at 18-8-2006 01:24 AM ]