脱式计算,能简算的要简算. ×+×51×10110.25-3.75-6.25+7.7535×12+350÷703+0.7÷[(-)×24]÷×.
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解:
(1)×+×,
=(+)×,
=1×,
=;
(2)51×101,
=51×(100+1),
=51×100+51×1,
=5100+51,
=5151;
(3)10.25-3.75-6.25+7.75,
=(10.25+7.75)-(3.75+6.25),
=18-10,
=8;
(4)35×12+350÷70,
=420+5,
=425;
(5)3+0.7÷[(-)×24],
=3+0.7÷[×24-×24],
=3+0.7÷[20-6],
=3+0.7÷14,
=3+0.05,
=3.05;
(6)÷×,
=×,
=.
解析分析:(1)根据乘法分配律进行计算;
(2)101=100+1,再根据乘法分配律进行计算;
(3)根据加法交换律和结合律以及减法的性质进行计算;
(4)先算乘法和除法,再算加法;
(5)中括号里面的根据乘法分配律进行计算,再算除法,最后算加法;
(6)先算除法,再算乘法.
点评:此题主要考查分数、整数、小数的四则混合运算的运算顺序和应用运算定律进行简便计算.