题目内容

(2013?黄冈模拟)正确、合理、灵活的计算下面各题.
①(1.75×0.2+1.75×0.8)÷17.5     
②10
1
4
-(6
1
4
-2
1
5

③243×8
1
4
+75.7×82.5    
3
8
×1
1
4
+125%+0.625×1.25
⑤0.91÷
4
5
+1.25×10.9    
⑥(
5
6
+
7
8
-
5
12
)÷
1
24
分析:(1)(3)(4)(5)(6)运用乘法分配律解答,
(2)运用减法性质解答.
解答:解:(1)(1.75×0.2+1.75×0.8)÷17.5,
=1.75×(0.2+0.8)÷17.5,
=1.75×1÷17.5,
=1.75÷17.5,
=0.1;

(2)10
1
4
-(6
1
4
-2
1
5
),
=10
1
4
-6
1
4
+2
1
5

=4+2
1
5

=6
1
5


(3)243×8
1
4
+75.7×82.5,
=(24.3+75.7)×82.5,
=100×82.5,
=8250;

(4)
3
8
×1
1
4
+125%+0.625×1.25,
=1.25×(
3
8
+1+0.625),
=1.25×2,
=2.5;

(5)0.91÷
4
5
+1.25×10.9,
=1.25×(0.91+10.9),
=1.25×11.81,
=14.7625;

(6)(
5
6
+
7
8
-
5
12
)÷
1
24

=
5
6
×24+
7
8
×24-
5
12
×24,
=20+21-10,
=31.
点评:本题主要考查学生正确运用简便方法解决问题的能力.
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