下面各题,怎样算简便就怎样算. 1080+270÷18-8647.54++2.46+(2.4-)÷0.625+2.5×12.5×40×0.86-÷-.
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解:(1)1080+270÷18-864,
=1080+15-864,
=1095-864,
=231;
(2)7.54++2.46+,
=(7.54+2.46)+(+),
=10+4,
=14;
(3)(2.4-)÷0.625+,
=(-)×+,
=×+,
=+,
=;
(4)2.5×12.5×40×0.8,
=(2.5×40)×(12.5×0.8),
=100×10,
=1000;
(5)6-÷-,
=6--,
=6-(+),
=6-2,
=4;
(6),
=(-+)×,
=×-×+×,
=6-+7,
=5+7,
=12.
解析分析:(1)先算除法,再算加法,最后算减法;
(2)根据加法交换律和结合律简算;
(3)先算小括号里面的减法,再算括号外的除法,最后算括号外的加法;
(4)根据乘法交换律和结合律简算;
(5)先算除法,再根据减法的性质简算;
(6)先把除法变成乘法,再运用乘法分配律简算.
点评:本题考查了四则混合运算,注意运算顺序和运算法则,灵活运用所学的运算定律进行简便计算.