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2003x1999-2003x999
= 2003x(1999 - 999 )
= 2003 x 1000
= 2003000
2004 x 999 + 1004
= ( 2003 + 1 ) x 999 + 1004
= 2003 x 999 + 999 + 1004
= 2003 x 999 +2003
= 2003 x ( 999 + 1 )
= 2003 x 1000
= 2003000
\(\frac{2003\times1999-2003\times999}{2004\times999+1004}\)
\(=\frac{2003\times\left(1999+999\right)}{2004\times999+1004}\)
\(=\frac{2003\times2998}{2001996+1004}\)
\(=\frac{60004994}{2003000}\)
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\(A=\frac{2002}{2001}+\frac{2003}{2002}+\frac{2004}{2003}+\frac{2005}{2004}+\frac{2006}{2005}+\frac{2007}{2006}+\frac{2008}{2007}+\frac{2009}{2008}>\frac{2001}{2001}+\frac{2002}{2002}+\frac{2003}{2003}+\frac{2004}{2004}+\frac{2005}{2005}+\frac{2006}{2006}+\frac{2007}{2007}+\frac{2008}{2008}\)
\(A=\frac{2002}{2001}+\frac{2003}{2002}+\frac{2004}{2003}+\frac{2005}{2004}+\frac{2006}{2005}+\frac{2007}{2006}+\frac{2008}{2007}+\frac{2009}{2008}>1+1+1+1+1+1+1+1\)\(A=\frac{2002}{2001}+\frac{2003}{2002}+\frac{2004}{2003}+\frac{2005}{2004}+\frac{2006}{2005}+\frac{2007}{2006}+\frac{2008}{2007}+\frac{2009}{2008}>8\)
\(A>8\)
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Ta có:\(\frac{2003.2004-2001}{2002.2003+2005}=\frac{\left(2002+1\right).2004-2001}{2002.\left(2004-1\right)+2005}\)
=\(\frac{2002.2004+2004-2001}{2002.2004-2002+2005}\)
=\(\frac{2002.2004+3}{2002.2004+2005-2002}\)
=\(\frac{2002.2004+3}{2002.2004+3}\)=1
Vay\(\frac{2003.2004-2001}{2002.2003+2005}=1\)
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\(\frac{2003\times2006-4}{2002\times2006+2002}\)
= \(\frac{2003\times2006-4}{2002\times2007}\)
= \(\frac{\left(2002+1\right)\times2006-4}{2002\times\left(2006+1\right)}\)
= \(\frac{2002\times2006+1\times2006}{2002\times2006+2002\times1}\)( bỏ bớt số 4 )
= \(\frac{2006}{2002}\)
= \(\frac{1003}{1001}\)
= \(\frac{1003-4}{1001}\)( thêm lại số 4 )
= \(\frac{999}{1001}\)
Nếu mình đúng thì k mình và gửi kết bạn với mình nhé
a) 2005*2007-1 b)2003*2004+2005*10+1994
2004+2005*2006 2005*2004-2003*2004
c) ( 5+3/8+18+1/2-7-5/24 )
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c) 5 + \(\frac{3}{8}\)+18 + \(\frac{1}{2}\) - 7 - \(\frac{5}{24}\)
=\(\frac{43}{8}\)+ \(\frac{35}{2}\) +\(\frac{163}{24}\)
=\(\frac{129}{24}\)+ \(\frac{420}{24}\)+\(\frac{163}{24}\)
= \(\frac{58}{51}\)
k nhé
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.\frac{4}{5}....\frac{2002}{2003}.\frac{2003}{2004}\)
Ta có : \(\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.\frac{4}{5}....\frac{2002}{2003}.\frac{2003}{2004}\)
\(=\frac{1.2.3.4.....2002.2003}{2.3.4.5....2003.2004}\)
\(=\frac{1}{2004}\)
\(\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot...\cdot\frac{2003}{2004}\)
\(=\frac{1\cdot2\cdot3\cdot...\cdot2003}{2\cdot3\cdot4\cdot...\cdot2004}\)
\(=\frac{1}{2004}\)
2002*2005-1002= 4013008
2003*2004-1004= 4013008
HT
2002 x 2005 - 1002 = 4013008
2003 x 2004 - 1004 = 4013008