神机妙算:(能简算的要写出简算过程)
(1)(?-)×28+×7-×7
(2)×78+0.5×1.25-730÷80+24×+51×
(3)[22.5+(+1.8-1.21×)]÷40%
(4)[47-(18.75-1÷)×2]÷0.46
(5)(0.7×-0.11×)÷0.125+(-)÷(×)
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解:
(1)(-)×28+×7-×7,
=×28-×28+(-)×7,
=7-4+1×7,
=3+7,
=10;
(2)×78+0.5×1.25-730÷80+24×+51×,
=0.125×78+5×0.125-73×0.125+51×+51×,
=(78+5-73)×0.125+51×(+),
=10×0.125+51×1,
=1.25+51,
=52.25;
(3)[22.5+(+1.8-1.21×)]÷40%,
=[22.5+(+1.8-0.55)]÷40%,
=[22.5+(5.4-0.55)]÷40%,
=[22.5+4.85]÷40%,
=27.35÷40%,
=68.375;
(4)[47-(18.75-1÷)×2]÷0.46,
=[47-(18.75-1.875)×2]÷0.46,
=[47-16.875×2]÷0.46,
=[47-33.75]÷0.46,
=13.25÷0.46,
=28;
(5)(0.7×-0.11×)÷0.125+(-)÷(×),
=(-)÷0.125+÷,
=÷0.125+÷,
=3+,
=3.
解析分析:(1)根据乘法分配律进行计算;
(2)根据乘法分配律进行计算
(3)先算小括号里面的乘法,再算小括号里面的加法,再算小括号里面的减法,再算中括号里面的加法,最后算除法;
(4)先算小括号里面的除法,再算小括号里面的减法,再算中括号里面的乘法,再算中括号里面的减法,最后算括号外面的除法;
(5)先算小括号里面的,再算除法,最后算加法.
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.