题目内容
计算,能简算的要简算 10÷0.2÷2.5 | 64×4.5+3.6×45 | 1.25×3.2×0.8 |
14.5×102 | 14.64+3.7×2.8 | 8.4÷0.21÷0.5. |
解:(1)10÷0.2÷2.5,
=10÷(0.2×2.5),
=10÷0.5,
=20;
(2)64×4.5+3.6×45,
=6.4×45+3.6×45,
=(6.4+3.6)×45,
=10×45,
=450;
(3)1.25×3.2×0.8,
=(1.25×0.8)×3.2,
=1×3.2,
=3.2;
(4)14.5×102,
=14.5×(100+2),
=14.5×100+14.5×2,
=1450+29,
=1479;
(5)14.64+3.7×2.8,
=14.64+10.36,
=25;
(6)8.4÷0.21÷0.5,
=40÷0.5,
=80.
分析:(1)10÷0.2÷2.5,利用除法的性质简算,原式变为10÷(0.2×2.5);
(2)64×4.5+3.6×45,把64×4.5变为6.4×45,然后利用乘法的意义简算;
(3)1.25×3.2×0.8,利用乘法的交换律和结合律;(4)14.5×102,把102拆成100+2;
(5)14.64+3.7×2.8,不能简算,按运算顺序进行计算;(6)8.4÷0.21÷0.5,按运算顺序就很简便.
点评:此题考查学生灵活运用运算定律进行简算的能力;在解答时,一定先审好题再动笔解答.
=10÷(0.2×2.5),
=10÷0.5,
=20;
(2)64×4.5+3.6×45,
=6.4×45+3.6×45,
=(6.4+3.6)×45,
=10×45,
=450;
(3)1.25×3.2×0.8,
=(1.25×0.8)×3.2,
=1×3.2,
=3.2;
(4)14.5×102,
=14.5×(100+2),
=14.5×100+14.5×2,
=1450+29,
=1479;
(5)14.64+3.7×2.8,
=14.64+10.36,
=25;
(6)8.4÷0.21÷0.5,
=40÷0.5,
=80.
分析:(1)10÷0.2÷2.5,利用除法的性质简算,原式变为10÷(0.2×2.5);
(2)64×4.5+3.6×45,把64×4.5变为6.4×45,然后利用乘法的意义简算;
(3)1.25×3.2×0.8,利用乘法的交换律和结合律;(4)14.5×102,把102拆成100+2;
(5)14.64+3.7×2.8,不能简算,按运算顺序进行计算;(6)8.4÷0.21÷0.5,按运算顺序就很简便.
点评:此题考查学生灵活运用运算定律进行简算的能力;在解答时,一定先审好题再动笔解答.
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