數學專家來!!!!!!!!!!!!!!!!!!

1)9999x2222+3333x3334
=3333x6666+3333x3334
=3333(6666+3334)
=3333(10000)
=33330000
2)1234x100010001
=1234x100000000+1234x10000+1234x1
=123400000000+12340000+1234
=123412341234
3)8x9=72
88x99=8712
888x999=887112
2001個8x2001個9=8...(有2000個8)71...(有2000個1)2
4)2000+1999-1998-1997+........+8+7-6-5+4+3
=(2000+1999-1998-1997)+........+(8+7-6-5)+4+3
=4+4+...+4(499個）+4+3
=4x500+3
=2000+3
=2003
5)5x25x125x625x2048
=5x5x5x5x5x5x5x5x5x5x2x2x2x2x2x2x2x2x2x2x2
=(5x2)^10x2
=10^10x2
=10000000000x2
=20000000000

1.9999x2222+3333x3334
=(9999/3)x(2222*3)+3333x3334
= 3333x6666+3333x3334
= 3333x(6666+3334)
=3333*10000
=33330000

2.1234x100010001
= 1234x(100000000+10000+1)
= 1234x100000000 + 1234X10000 + 1234
= 123400000000+12340000+1234
= 123412341234

2000 + 1999 - 1998 - 1997 = 4
1996 + 1995 - 1994 - 1993 = 4
...........................................
8 + 7 - 6 - 5 = 4

這裡499連續這些sequence , by AP
所以, 2000+1999-1998-1997+1996+1995-1994-1993........+8+7-6-5= 499 * 4 = 1996
1996 + 4 + 3 = 2003

5X25X125X625X2048
= 5x5^2x5^3x5^4x2^11
= 5^(1+2+3+4)x2^10x2
= 10^10x2
=20000000000

2001個8x2001個9
=(2001x2001)x(8x9)
=(2001x2001)x72
=(2001x2000+2001)x72
=(4002000+2001)x72
=4002000*72+2001*72
=288144000+144072
=288288072

下面未寫下答案

請選我做最好的解答

2006-11-02 16:28:06 補充：
下面有人未寫下答案

9999X2222 + 3333X3334
= (10000 - 1) X2222 + 10002X1111
= 22220000 - 2222 + (10000+2)X1111
= 22220000 - 2222 + 11110000 + 2222
= 33330000

1234X100010001
= 1234X(100000000 + 10000 + 1)
= 1234X100000000 + 1234X10000 + 1234
= 123400000000 + 12340000 + 1234
= 123412341234

2000 + 1999 - 1998 - 1997 = 4
1996 + 1995 - 1994 - 1993 = 4
...........................................
8 + 7 - 6 - 5 = 4

there is 499 series of these kind of sequence , by AP
so, 2000+1999-1998-1997+1996+1995-1994-1993........+8+7-6-5= 499 * 4 = 1996
1996 + 4 + 3 = 2003

5X25X125X625X2048
= 5^1 X 5^2 X 5^3 X 5^4 X 2^11
= 5^(1+2+3+4) X 2^10 X 2
= 10^10 X 2

2006-11-02 15:18:16 補充：
計算 8......(有2001個8)x9......(有2001個9)=?呢個唔知你問咩

2006-11-02 15:27:44 補充：
8......(有2001個8)x9......(有2001個9)= 2001個8 X (1000....(2001個0) - 1)= 20010000.....(2001個0) - 2001個8= 20001111......(2000個9)2