\(2006\cdot4+2006\cdot3+8024-2006\)   

\(=2006\cdot4+2006\cdot3+2006\cdot4-2006\cdot1\)   

\(=2006\cdot\left(4+3+4-1\right)\)   

\(=2006\cdot10\)   

\(=20060\)

Bạn bỏ 8024 đâu rồi

Nêu cách làm luôn nha

Giải

2006 . 4 + 2006 . 3 + 8024 - 2006

= 2006 . 4 + 2006 . 4 + 2006 . 4 - 2006 . 1

= 2006 . ( 4 + 3 + 4 - 1 )

= 2006 . 10

= 20060

Học tốt!!!

   2006 x 4 + 2006 x 3 +8024

= 2006 x 4 +2006 x 3 +2006 x 4

= 2006 x ( 4 + 3 + 4 )

= 2006 x 11

= 22066

Chúc Bạn Học Tốt !

=2006x4+2006x3+2006x4=2006x(4+3+4)=2006x11=2006x10+2006=22066

                       giải 

      ta thấy 1 = 2004/2005 + 1/2005 

                  1= 2005/2006 + 1/ 2006 

 vì   1/ 2005 > 1/2006  ( phần bù )

nên suy ra :   2004 / 2005 < 2005 /2006

1)

\(\left(a\right)37+397+3997+39997\)

\(=40-3+400-3+4000-3+40000-3\)

\(=\left(40+400+4000+40000\right)-\left(3+3+3+3\right)\)

\(=44440-12=44428\)

\(\left(b\right)298+2998+29998+299998\)

\(=300-2+3000-2+30000-2+300000-2\)

\(=\left(300+3000+30000+300000\right)-\left(2+2+2+2\right)\)

\(=333300-8=333296\)

\(\left(c\right)9+99+999+9999+99999\)

\(=10-1+100-1+1000-1+10000-1+100000-1\)

\(=\left(10+100+1000+10000+100000\right)-\left(1+1+1+1+1\right)\)

\(=111110-5=111105\)

2)
\(\left(a\right)\left(2+4+6+...+2002+2004+2006\right)-\left(1+3+5+...+2001+2003+2005\right)\)

\(=\left(2-1\right)+\left(4-3\right)+\left(6-5\right)+...+\left(2002-2001\right)+\left(2004-2003\right)+\left(2006-2005\right)\)

\(=1+1+1+...+1+1+1\)( 1003 số 1 )

\(=1003\)

\(\left(b\right)88-87+86-85+84-83+...+6-5+4-3+2-1\)

\(=\left(88-87\right)+\left(86-85\right)+\left(84-83\right)+...+\left(6-5\right)+\left(4-3\right)+\left(2-1\right)\)

\(=1+1+1+...+1+1+1\)( 44 số 1 )

\(=44\)

\(\left(c\right)100-98+96-94+92-90+...+12-10+8-6+4-2\)

\(=\left(100-98\right)+\left(96-94\right)+\left(92-90\right)+...+\left(12-10\right)+\left(8-6\right)+\left(4-2\right)\)

\(=2+2+2+...+2+2+2\) ( 25 số 2 )

\(=50\)

3)

\(\left(a\right)360-357+354-351+348-345+...+312-309+306-303+300-297\)

\(=\left(360-357\right)+\left(354-351\right)+\left(348-345\right)+...+\left(312-309\right)+\left(306-303\right)+\)\(\left(300-297\right)\)

\(=3+3+3+3+3+3+3+3+3+3+3=33\)

\(\left(b\right)2006-1-2-3-4-...-47-48-49-50\)

\(=2006-\left(1+2+3+4+...+47+48+49+50\right)\)

\(=2006-\frac{\left(50+1\right)\left[\left(50-1\right)+1\right]}{2}\)

\(=2006-1275=731\)

\(\left(c\right)280-276+272-268+264-260+...+216-212+208-204+200-196\)

\(=\left(280-276\right)+\left(272-268\right)+\left(264-260\right)+...+\left(216-212\right)+\left(208-204\right)+\)\(\left(200-196\right)\)

\(=4+4+4+4+4+4+4+4+4+4+4=44\)

Cảm ơn bạn nha

$1-\frac{1}{99}x1-\frac{1}{100}....1-\frac{1}{2006}$
=($\frac{99}{99}-\frac{1}{99}$)x($\frac{100}{100}-\frac{1}{100}$)....($\frac{2006}{2006}-\frac{1}{2006}$) = $\frac{98}{99}x\frac{99}{100}....\frac{2005}{2006}=\frac{98}{2006}$

$\frac{\mathrm{NÈ\; EM}}{}$

 1/2005 x(1-1/2006)x(1-2007)x(1-1/2008)

=1/2005x2005/2006x2006/2007-2007/2008

Rút gọn rồi ta được kết quả

1/2008

 kq =1/2008 =)))) Hihi mình fra kq thôi :))