题目内容
混合运算.(写出计算过程)
28.7-14.7÷1.4 | 0.25×4.56×40 | (1.7+3.3÷5)×0.2 |
0.45+0.15×997 | 12×0.25+8.8×2.5 | (3-1.6)÷2.5×0.1. |
解:(1)28.7-14.7÷1.4,
=28.7-10.5,
=18.2;
(2)0.25×4.56×40,
=(0.25×40)×4.56,
=10×4.56,
=45.6;
(3)(1.7+3.3÷5)×0.2,
=(1.7+0.66)×0.2,
=2.36×0.2,
=0.472;
(4)0.45+0.15×997,
=0.15×3+0.15×997,
=0.15×(3+997),
=0.15×1000,
=150;
(5)12×0.25+8.8×2.5,
=1.2×2.5+8.8×2.5,
=(1.2+8.8)×2.5,
=10×2.5,
=25;
(6)(3-1.6)÷2.5×0.1,
=1.4÷2.5×0.1,
=0.56×0.1,
=0.056.
分析:(1)先算除法,再算减法;
(2)运用乘法交换律与结合律简算;
(3)先算括号内的除法,再算括号内的加法,最后算括号外的乘法;
(4)原式变为0.15×3+0.15×997,运用乘法分配律简算;
(5)原式变为1.2×2.5+8.8×2.5,运用乘法分配律简算;
(6)先算括号内的减法,再算括号外的除法和乘法.
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.
=28.7-10.5,
=18.2;
(2)0.25×4.56×40,
=(0.25×40)×4.56,
=10×4.56,
=45.6;
(3)(1.7+3.3÷5)×0.2,
=(1.7+0.66)×0.2,
=2.36×0.2,
=0.472;
(4)0.45+0.15×997,
=0.15×3+0.15×997,
=0.15×(3+997),
=0.15×1000,
=150;
(5)12×0.25+8.8×2.5,
=1.2×2.5+8.8×2.5,
=(1.2+8.8)×2.5,
=10×2.5,
=25;
(6)(3-1.6)÷2.5×0.1,
=1.4÷2.5×0.1,
=0.56×0.1,
=0.056.
分析:(1)先算除法,再算减法;
(2)运用乘法交换律与结合律简算;
(3)先算括号内的除法,再算括号内的加法,最后算括号外的乘法;
(4)原式变为0.15×3+0.15×997,运用乘法分配律简算;
(5)原式变为1.2×2.5+8.8×2.5,运用乘法分配律简算;
(6)先算括号内的减法,再算括号外的除法和乘法.
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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