题目内容

(2012?同心县模拟)简算
2.04×92+20.4×0.8                   
100×
7
99

1.25×32×2.5                    
3
7
÷
7
11
+
4
7
÷
7
11
分析:(1)根据数字特点,先把原式变为20.4×9.2+20.4×0.8,运用乘法分配律简算;
(2)把100看作99+1,运用乘法分配律简算;
(3)把32看作8×4,运用乘法结合律简算;
(4)运用除法的性质简算,然后根据倒数的概念,写出答案.或先把除法改为乘法,运用乘法分配律简算.
解答:解:(1)2.04×92+20.4×0.8,
=20.4×9.2+20.4×0.8,
=20.4×(9.2+0.8),
=20.4×10,
=204;

(2)100×
7
99

=(99+1)×
7
99

=99×
7
99
+1×
7
99

=7+
7
99

=7
7
99


(3)1.25×32×2.5,
=1.25×8×4×2.5,
=(1.25×8)×(4×2.5),
=10×10,
=100;

(4)
3
7
÷
7
11
+
4
7
÷
7
11

=(
3
7
+
4
7
)÷
7
11

=1÷
7
11

=
11
7
点评:完成此题,应注意审题,运用合适的简便方法计算.
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