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(1)5.1÷0.17÷3
(2)1.25×1.05-0.05×1.25
(3)8÷[(40.75-9.5)×0.4]
(4)1.75×3.75÷0.175
(5)1.12×1.8+2.24×0.1.
分析:(1)运用除法的性质简算;
(2)运用乘法分配律简算;
(3)先算小括号内的,再算中括号内的,最后算括号外的;
(4)调整运算顺序,先算1.75÷0.175,再算乘法;
(5)把1.8看作2×0.9,原式变为2.24×0.9+2.24×0.1运用乘法分配律简算.
解答:解:(1)5.1÷0.17÷3
=5.1÷(0.17×3)
=5.1÷0.51
=10;

(2)1.25×1.05-0.05×1.25
=1.25×(1.05-0.05)
=1.25×1
=1.25;

(3)8÷[(40.75-9.5)×0.4]
=8÷[31.25×0.4]
=8÷12.5
=0.64;

(4)1.75×3.75÷0.175
=(1.75÷0.175)×3.75
=10×3.75
=37.5;

(5)1.12×1.8+2.24×0.1
=1.12×2×0.9+2.24×0.1
=2.24×0.9+2.24×0.1
=2.24×(0.9+0.1)
=2.24×1
=2.24.
点评:考查了小数的四则混合运算,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.
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