4.5×4-414÷2375×+25×(+)÷(-÷2)÷(+÷)÷[×(2-)].
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解:(1)4.5×4-414÷23,
=18-18,
=0;
(2)75×+25×,
=(75+25)×,
=100×,
=60;
(3)(+)÷,
=(+)×60,
=×60-×60+×60,
=6-5+4,
=5;
(4)(-÷2)÷,
=(-)×,
=×-×,
=,
=;
(5)(+÷),
=(+),
=×,
=;
(6)÷[×(2-)],
=÷[×],
=,
=.
解析分析:(2)(3)可运用乘法分配律简算;其余各题按照先算乘除,再算加减的顺序计算,有括号的先算括号里面的.
点评:乘法分配律是常用的简便运算的方法,要会灵活运用.