|1/2009-1/2008|+|1/2008-1/2007|+|1/2007-1/2006|+...+|1/3-1/2|+|1/2-1|
=-(1/2009-1/2008)-(1/2008-1/2007)-(1/2007-1/2006)-...-(1/3-1/2)-(1/2-1)
=-[(1/2009-1/2008)+(1/2008-1/2007)+(1/2007-1/2006)+...+(1/3-1/2)+(1/2-1)]
=-[1/2009-1]
=2008/2009
计算:1/2009-1/2008的绝对值-1/2008-1/2007的绝对值+1/2007-1/206的绝对值.+
2个回答
相关问题
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奥数题绝对值|1/2009-1/2008|+|1/2008-1/2007|+|1/2007-1/2006|
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|1/2009-1/2008|-|1/2008-1/2007| =1/2008-1/2009-1/2007+1/2008
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(1+1/2007+1/2008)*(1/2007+1/2008+1/2009)-(1+1/2007+1/2008+1/
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1/2-1的绝对值+1/3-1/2的绝对值+1/4-1/3的绝对值+…1/2009-1/2008的绝对值等于多少
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计算（1-1/2）的绝对值+（1/2-1/3）绝对值+（1/3-1/4）绝对值+...+（1/2006-1/2007）绝
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计算：2007÷2007[2007/2008]+[1/2009]．
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化简：|1/2010-1/2009|+|1/2009-1/2008|+|1/2008-1/2007|-|1/2007-1
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计算 1+2+3+…+2007+2008+2009+2008+2007+...+3+2+1 = 写出计算过程
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2008+2009*2007/2008*2009-1
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-(1／2009－1/2008)＋[-(1/2008-1/2007)]＋┈＋[-(1/2－1)]