\(2004.2007=2004.\left(2006+1\right)\)
\(=2004.2006+2004\)
\(2005.2006=\left(2004+1\right).2006\)
\(=2004.2006+2006\)
do \(2004< 2006\)
nên \(2004.2006+2004< 2004.2006+2006\)
hay \(2004.2007< 2005.2006\)
2004 . 2007 = 2004 . ( 2006 + 1 ) = 2004 . 2006 + 2004
2005 . 2006 = ( 2004 + 1 ) . 2006 = 2004 . 2006 + 2006
Vì 20004 . 2006 + 2004 < 2004 . 2006 + 2006 nên 2004 . 2007 < 2005 . 2006
Vậy 2004 . 2007 < 2005 . 2006