解题思路:(1)根据减法的性质进行计算,
(2)先小括号里的,再算中括号里面的,最后算乘法,
(3)先算括号里面的,再从左到可依次计算,
(4)先把除法转化为乘法,再根据乘法分配律进行计算.
(1)57.5-4.25-15.75,
=57.5-(4.25+15.75),
=57.5-20,
=37.5;
(2)7.2×[(7.8+[1/5])÷0.4],
=7.2×[8÷0.4],
=7.2×20,
=144;
(3)(6.9-3.15)÷0.3×0.8,
=3.75÷0.3×0.8,
=12.5×0.8,
=10;
(4)[5/7]×16.31-2.31÷[7/5],
=[5/7]×16.31-2.31×[5/7],
=[5/7]×(16.31-2.31),
=[5/7]×14,
=10.
点评:
本题考点: 整数、分数、小数、百分数四则混合运算;运算定律与简便运算.
考点点评: 本题主要考查了学生在四则运算中灵活运用简便算法的计算能力.