题目内容

(2008?红安县)4.05-2.86-0.14
75×60%+24×
3
5
+0.6

1375+450÷18×25
120÷[(
11
6
+
2
3
)×
3
10
]
3
5
-
1
4
)÷
3
2
×
15
7

8÷[(
8
5
-
2
3
)×
2
7
].
分析:(1)4.05-2.86-0.14利用a-b-c=a-(b+c)进行计算,
(2)75×60%+24×
3
5
+0.6利用乘法分配律进行计算,
(3、(6)可按运算顺序计算,
(4)120÷[(
11
6
+
2
3
3
10
]
利用乘法分配律进行计算,
(5)(
3
5
-
1
4
3
2
×
15
7
利用乘法分配律进行计算.
解答:解:(1)4.05-2.86-0.14
=4.05-(2.86+0.14),
=4.05-3,
=1.05;
(2)75×60%+24×
3
5
+0.6
=75×0.6+24×0.6+0.6,
=(75+24+1)×0.6,
=100×0.6,
=60;
(3)1375+450÷18×25
=1375+25×25,
=1375+625,
=2000;
(4)120÷[(
11
6
+
2
3
3
10
]

=120÷[
11
6
×
3
10
+
2
3
×
3
10
]

=120÷[
11
20
+
4
20
]

=120×
4
3

=160;
(5)(
3
5
-
1
4
3
2
×
15
7

=(
3
5
-
1
4
2
3
×
15
7

=
3
5
×
2
3
×
15
7
-
1
4
×
2
3
×
15
7

=
6
7
-
10
28

=
1
2

(6)8÷[(
8
5
-
2
3
2
7
]

=8÷[
14
15
×
2
7
]

=
15
4

=30.
点评:考查学生在四则运算中合理运用简便计算的能力.
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