计算下面各题,能简便的尽量简便.
(+-)÷[-(-)]×???????20.07×1994-19.93×20072.5×0.875+0.25×1.25?????????999+99+9+????????2.5--÷.
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解:(1)(+-)÷,
=(+-)×24,
=×24+×24-×24,
=20+21-10,
=31,(2)[-(-)]×,
=[-]×,
=[-]×,
=×,
=,
(3)20.07×1994-19.93×2007,
=(20.07×100)×(1994÷100)-19.93×2007,
=2007×19.94-19.93×2007,
=2007×(19.94-19.93),
=2007×0.01,
=20.07,
(4)2.5×0.875+0.25×1.25,
=2.5×0.875+(0.25×10)×(1.25÷10),
=2.5×0.875+2.5×0.125,
=2.5×(0.875+0.125),
=2.5×1,
=2.5,
(5)999+99+9+,
=(999+)+(99+)+(9+)+,
=(1000-1+100-1+10-1)+(×3+),
=1110-3+3,
=1110,
??
(6)2.5--÷,
=2.5--×,
=2.5--,
=2.5-(),
=2.5-1,
=1.5,
解析分析:第二题按分数、整数四则混合运算顺序计算,第一、三、四按乘法分配律计算,第五题按多加了几减几来算,第六题先算除法,再按一个数连减两个数,等于这个数减这两个数的和计算.
点评:此题主要考查分数、整数、小数的四则混合运算的运算顺序和应用运算定律进行简便计算.