怎样简便就怎样计算.
-(+) 91-10÷0.25÷4×+÷35÷[×(1-)]41×1015×××8.5-(5.6+4.8)÷1.312×(-+)
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解:
(1)-(+),
=--,
=1-,
=;
(2)91-10÷0.25÷4,
=91-10÷(0.25×4),
=91-10÷1,
=91-10,
=81;
(3)×+÷,
=×+×,
=(+)×,
=1×,
=;
(4)35÷[×(1-)],
=35÷[×],
=35÷,
=56;
(5)41×101,
=41×(100+1),
=41×100+41,
=4100+41,
=4141;
(6)5×××,
=(5×)×(×),
=2×,
=;
(7)8.5-(5.6+4.8)÷1.3,
=8.5-10.4÷1.3,
=8.5-8,
=0.5;
(8)12×(-+),
=12×-12×+12×,
=3-4+2,
=1.
解析分析:(1)根据连减的性质进行计算;
(2)根据连除的性质进行计算;
(3)根据乘法分配律进行计算;
(4)先算减法,再算乘法,最后算除法;
(5)根据乘法分配律进行计算;
(6)根据乘法交换律和结合律进行计算;
(7)先算加法,再算除法,最后算减法;
(8)根据乘法分配律进行计算.
点评:考查了运算定律与简便运算,四则混合运算.注意运算顺序和运算法则,灵活运用所学的运算律简便计算.