化简|1/2004-1/2003|+|1/2003-1/2002|+|1/2002-1/2001|+|1/2001-1/2004|=?|1/2004-1/2003|是2004分之1与2003分之1的差的绝对值

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/09 11:30:42
化简|1/2004-1/2003|+|1/2003-1/2002|+|1/2002-1/2001|+|1/2001-1/2004|=?|1/2004-1/2003|是2004分之1与2003分之1的差的绝对值

化简|1/2004-1/2003|+|1/2003-1/2002|+|1/2002-1/2001|+|1/2001-1/2004|=?|1/2004-1/2003|是2004分之1与2003分之1的差的绝对值
化简|1/2004-1/2003|+|1/2003-1/2002|+|1/2002-1/2001|+|1/2001-1/2004|=?
|1/2004-1/2003|是2004分之1与2003分之1的差的绝对值

化简|1/2004-1/2003|+|1/2003-1/2002|+|1/2002-1/2001|+|1/2001-1/2004|=?|1/2004-1/2003|是2004分之1与2003分之1的差的绝对值
因为2004分之1与2003分之1的差小于0
所以原式=-1/2004+1/2003-1/2003+1/2002-1/2002+1/2001-1/2001+1/2004 =0
因为2004分之1与2003分之1的差小于0,所以化去绝对值取它的相反数,-(1/2004-1/2003)=-1/2004+1/2003.依次类推.
然后就都被抵消了,最后等于零.

打开绝对值
=1/2003-1/2004+1/2002-1/2003+1/2001-1/2002+1/2001-1/2004
=2/2001

2/2001

|1/2004-1/2003|+|1/2003-1/2002|+|1/2002-1/2001|+|1/2001-1/2004|
=1/2003-1/2004+1/2002-1/2003+1/2001-1/2002+1/2001-1/2004
=2/2001-2/2004
=2(1/2001-1/2004)
=2(3/4010004)
=2/1336668
=1/668334.

原式=1/2003-1/2004+1/2002-1/2003+1/2001- 1/2002+1/2004-1/2001
=0

原式=1/2003-1/2004 + 1/2002-1/2003 +1/2001-1/2002 + 1/2001 - 1/2004
=2/2001 - 2/2004
=6/(2001*2004)

化简|1/2004-1/2003|+|1/2003-1/2002|+|1/2002-1/2001|-|1/2001-1/2004|初中绝对值,急,明天上课 化简|1/2004-1/2003|+|1/2003-1/2002|+|1/2002-1/2001|+|1/2001-1/2004|=?|1/2004-1/2003|是2004分之1与2003分之1的差的绝对值 2 004平方减2004×2003+2003平方分之2004平方-2004+1= 化简:根号(2003×2004×2005×2006+1) 2004×2003-2003×2002+2002×2001-2001×2000+…+2×1﹦ 2005×2003/2004+1/2004(怎样用简便方法计算) 1-2-3+4+5-6-7+8+9-10...+2000+2001-2002-2003+2004+2005-2006-2007+2008过程也要 有理数计算-1+2-3+4-5+6……-2001+2002-2003+2004=( ) 2003+2002*2004分之2003*2004-1 计算1+2-3-4+5+6-7-8+……+2001+2002-2003-2004+2005 化简:|1/2004-1/2003|+|1/2003-1/2002|+|1/2002-1/2001|-|1/2001-1/2000| ,2001×2002分之1+2002×2003分之1+2003+2004分之1+2004×2005分之1+2005分之1 . 1.5×2000+2004×1/2-2004简便计算! 化简(1/2+1/3+...1/2003)*(1+1/2+...1/2004)-(1+1/2+...1/2004)*(1/2+1/3+...1/2004) 简算(1/2+1/3+...+1/2003)(1+1/2+1/3+...+1/2004)-(1+1/2+1/3+...1/2003)(1/2+1/3+...+1/2004) 2004分之2003乘20052005×2003/2004 =(2004+1)×2003/2004 =2004×2003/2004+1×2003/2004 然后为什么就等于=2003+2003/2004 20.代数和的规律:(1)计算1+2-3-4+5+6-7-8+…+2001+2002-2003-2004:(2)如果在1,2,3…2004这2004个数的前面任意添加正号或负号,再求和,其结果是奇数还是偶数. 计算:1-2+3-4+5-6-7+8+9-10-11+12+.2001-2002-2003+2004+2005-2006-2007+20081-2+3-4+5-6-7+8+9-10-11+12+.2001-2002-2003+2004+2005-2006-2007+2008要方法,不要结果仔细读