列递等式计算[(2)、(4)简算]
(1)???
(2)
(3)%??
(4)1999÷1999+.
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解:(1),
=[1.6+-1],
=×[1],
=,
=;
(2),
=22+4×+,
=(22+4)×,
=26,
=11;
(3)%,
=[2.25+(30.55)]÷40%,
=[2.25+3.05]÷40%,
=5.3÷40%,
=13.25;
(4)1999÷1999+,
=1999÷[1999×(1+)]+,
=1999÷1999,
=,
=1.
解析分析:(1)(3)依据四则运算计算方法,先算第二级运算,再算第一级运算,如果只含有同一级运算,按照从左到右顺序计算,有括号先算括号里面的解答,(2)化16×=4×,=,再运用乘法分配律解答,(4)化1999=1999×(1+),在运用除法性质即可解答.
点评:本题考查知识点:(1)四则运算计算方法,(2)简便算法的正确运用.