Question

2004+2003-2002-2001+2000+1999-1998-1997+…+8+7-6-5+4+3-2-1用简便方法计算！！！

用简便方法计算！！！

Answer 1

2004+2003-2002-2001+2000+1999-1998-1997+…+8+7-6-5+4+3-2-1
=(2004-2002)+(2003-2001)+...+(4-2)+(3-1)
=2+2+2+.....+2
=2*(2004/2)
=2*1002
=2004

或者 2004+2003-2002-2001+2000+1999-1998-1997+…+8+7-6-5+4+3-2-1
=2004+（2003-2002）-（2001-2000）+......
=2004+1-1+1-1...
=2004+0+0+0+0...
=2004

Answer 2

(2004+2003-2002-2001)+(2000+1999-1998-1997)+…+(8+7-6-5)+(4+3-2-1)=(4+3-2-1).2004/4=2004

Answer 3

2004+2003-2002-2001+2000+1999-1998-1997+…+8+7-6-5+4+3-2-1
=(2004-2002)+(2003-2001)+(2000-1998)(1999-1997)...+(4-2)+(3-1)
=2+2+2...[1002个2相加]
=2004

Answer 4

2004+2003-2002-2001+2000+1999-1998-1997+…+8+7-6-5+4+3-2-1
=(2004+2003-2002-2001)+(2000+1999-1998-1997)+…+(8+7-6-5)+(4+3-2-1)
=4+4+4+...+4+4
=4*(2004/4)
=2004

Answer 5

2004+2003-2002-2001+2000+1999-1998-1997+...+8+7-6-5+4+3-2-1
=2004+(2003-2002)-(2001-2000)+(1999-1998)-(1997-1996)+...+(7-6)-(5-4)+(3-2)-1
=2004