用递等式计算(能简算的要简算)
÷[](25-25×0.6)÷0.9×5.7+5.9×7.5-1.6×8.15-2.93-1.07-3.15.
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解:(1)÷[],
=÷[],
=,
=2;
(2)(25-25×0.6)÷0.9,
=(25-15)÷0.9,
=10÷0.9,
=11;
(3)×5.7+5.9×7.5-1.6×,
=7.5×(5.7+5.9-1.6),
=7.5×10,
=75;
(4)8.15-2.93-1.07-3.15,
=8.15-(2.93+1.07+3.15),
=8.15-7.17,
=1.
解析分析:(1)(2)依据四则运算顺序: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顺序解答,
(3)运用乘法分配律解答,
(4)运用减法性质解答.
点评:本题考查知识点:(1)依据四则运算顺序正确进行计算,(2)正确运用简便算法解决问题.