用递等式计算(能简算的要简算).
(1)(+)÷(0.5-0.2)
(2)18÷[5.2÷(-+)]÷
(3)(--)÷
(4)(999×1.01+9.9×99.9)÷5×.
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解:
(1)(+)÷(0.5-0.2),
=0.7÷0.3,
=;
(2)18÷[5.2÷(-+)]÷,
=18÷[5.2÷(+)]÷,
=18÷[5.2÷]÷,
=18÷6÷,
=3÷,
=10.5;
(3)(--)÷,
=(--)×48,
=×48-×48-×48,
=36-4-2,
=30;
(4)(999×1.01+9.9×99.9)÷5×,
=(99.9×10.1+9.9×99.9)÷5×,
=99.9×(10.1+9.9)÷5×,
=99.9×20÷5×,
=1998÷5×,
=399.6×,
=66.6.
解析分析:(1)先算小括号里面的加法和减法.再算除法;
(2)先算小括号里面的,再算中括号里面的除法,再按照从左向右的顺序进行计算;
(3)根据乘法分配律进行计算;
(4)根据乘法分配律进行计算.
点评:考查了运算定律与简便运算,四则混合运算.注意运算顺序和运算法则,灵活运用所学的运算律简便计算.