3.125×(1.6+2)÷(2-0.625)
××+××+××
++???????????????????????????????
(1-0.8)÷0.63-(÷0.45-1)
(3+1×7)÷1-1?????????????????????
67×+2×3.75-4×25%
789×788788-788×789789.
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解:(1)3.125×(1.6+2)÷(2-0.625),
=×(+)÷(-),
=×4÷,
=×,
=;
(2)××+××+××,
=++,
=++,
=,
=;
(3)++,
=1+1+1,
=(1+)+(1+)+(1+),
=(1+1+1)+++,
=3+×(-)+×(-)+×(-),
=3+×(-+-+-),
=3+×(-),
=3+×,
=3+,
=3;
(4)(1-0.8)÷0.63-(÷0.45-1),
=(1.25-0.8)÷0.63-(÷-),
=0.45÷0.63-(×-),
=÷-(-),
=×-,
=-,
=;
(5)(3+1×7)÷1-1,
=(+×7)÷-,
=(+×7)×-,
=×+×7×-,
=+×(7×-1),
=+×(-1),
=+×,
=+,
=;
(6)67×+2×3.75-4×25%,
=67×0.25+2.5×3.75-4.5×0.25,
=(67-4.5)×0.25+2.5×3.75,
=62.5×0.25+2.5×3.75,
=62.5×0.25+0.25×37.5,
=(62.5+37.5)×0.25,
=100×0.25,
=25;
(7)789×788788-788×789789,
=789×788788-788×(788788+1001),
=789×788788-(788×788788+788×1001),
=789×788788-788×788788-788×1001,
=(789-788)×788788-788788,
=1×788788-788788,
=0.
解析分析:(1)把小数化成分数,带分数化成假分数,再按照先计算括号里面的加法和减法,然后再计算乘法,最后计算除法;(2)根据分数的乘法的意义,可得分母都是5×7×13,然后再进一步计算即可;(3)先把假分数化成带分数,再把带分数化成加法的形式,然后再根据分数的拆项进一步计算即可;(4)先计算出1-0.8,然后把小数化成分数,再根据运算顺序,进行计算即可;(5)把带分数化成假分数,再根据乘法分配律进行计算即可;(6)把分数和百分数化成小数,再根据乘法分配律进行计算即可;(7)把789789拆成788788+1001,再根据乘法分配律进行计算即可.
点评:根据题意,选择好运算定律,然后再进一步计算即可.