递等式计算(能简算的要简算).(1)2.5×0.8×0.4×12.5(2)6.3×9.9(3)3.93×9.8+0.2×3.93(4)300-(2.03+6.1)×3

发布时间:2020-08-12 09:45:22

递等式计算(能简算的要简算).
(1)2.5×0.8×0.4×12.5
(2)6.3×9.9
(3)3.93×9.8+0.2×3.93
(4)300-(2.03+6.1)×30
(5)(1-0.2)×(3-2.32)÷0.01
(6)8÷[(40.75-9.5)×0.4].

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解:(1)2.5×0.8×0.4×12.5,
=(2.5×0.4)×(0.8×12.5),
=1×10,
=10;

(2)6.3×9.9,
=6.3×(10-0.1),
=6.3×10-6.3×0.1,
=63-0.63,
=62.37;

(3)3.93×9.8+0.2×3.93,
=3.93×(9.8+0.2),
=3.93×10,
=39.3;

(4)300-(2.03+6.1)×30,
=300-8.13×30,
=300-243.9,
=56.1;

(5)(1-0.2)×(3-2.32)÷0.01,
=0.8×0.68÷0.01,
=0.544÷0.01,
=54.4;

(6)8÷[(40.75-9.5)×0.4],
=8÷[31.25×0.4],
=8÷12.5,
=0.64.
解析分析:(1)运用乘法交换律与结合律简算;
(2)把9.9看作10-0.21,运用乘法分配律简算;
(3)运用乘法分配律简算;
(4)先算括号内的,再算括号外的乘法,最后算减法;
(5)从左往右依次运算;
(6)先算小括号内的,再算中括号内的,最后算括号外的.

点评:此题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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