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Calculation:1998+2000+2002+2004+2006/1997+1999+2001+2003+2005 The numerator and denominator can be expressed by summation of intermediate numbers respectively, and then approximately. Calculation:1998+2000+2002+2004+2006/1997+1999+2001+2003+2005 The numerator and denominator can be expressed by summation of intermediate numbers respectively, and then reduced. Calculation:1998+2000+2002+2004+2006/1997+1999+2001+2003+2005 The numerator and denominator can be expressed by summation of the intermediate numbers respectively, and then approximately.
Molecular=(1997+2005)+(1999+2003)+2001=5*2001
The denominator is the same =5*2002
So=2001/2002
2005+2004-2003+2002+2001-2000+1999+1998-1997+...+1006+1005-1004
2005+2004-2003+2002+2001-2000+1999+1998-1997+…+1006+1005-1004
=2005+2004+2003+…… +1004-2*(2003+2000+…… +1004)
=(2005+1004)*(2005-1004+1)/2-2*(2003+1004)*[(2003-1004)/3+1)/2
=1507509-1004338
=503171
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