题目内容

(2012?武汉模拟)(1)(5.77×4
2
7
+3
2
7
×5
7
10
)×(3
2
7
-1÷
7
23

(2)[(1
2
3
×2+2.5)÷
7
8
-2
1
5
]÷1.6
(3)(
1
12.5
+
1
10
)×2.5÷(4
11
16
×
4
25
+6
11
14
÷8
1
7
×1
1
2

(4)8
8
9
÷[(7.35-5
1
12
)÷1.02]+79.5×
4
35
分析:(1)两个括号内的同时计算,第一个括号先算乘法,再算加法;第二个括号先算除法,再算减法;最后算括号外的乘法;
(2)先算小括号内的乘法,在算小括号内的加法,然后算中括号的除法和减法,最后算括号外的除法;
(3)先算括号内的,第二个括号先算乘除,再算加法,然后从左往右依次计算;
(4)先算小括号内的,再算中括号内的,然后算括号外的乘除,最后算加法.
解答:解:(1)(5.77×4
2
7
+3
2
7
×5
7
10
)×(3
2
7
-1÷
7
23

=(5.77×4
2
7
+3
2
7
×5
7
10
)×(
23
7
-
23
7

=(5.77×4
2
7
+3
2
7
×5
7
10
)×0
=0;

(2)[(1
2
3
×2+2.5)÷
7
8
-2
1
5
]÷1.6
=[(
5
3
×2+
5
2
)÷
7
8
-2
1
5
]÷1.6
=[
35
6
÷
7
8
-2
1
5
]÷1.6
=[
35
6
×
8
7
-2
1
5
]÷1.6
=[
20
3
-
11
5
8
5

=
67
15
×
5
8

=
67
24


(3)(
1
12.5
+
1
10
)×2.5÷(4
11
16
×
4
25
+6
11
14
÷8
1
7
×1
1
2

=(
2
25
+
1
10
)×2.5÷(
75
16
×
4
25
+
95
14
×
7
57
×
3
2

=
9
50
×
5
2
÷(
3
4
+
5
4

=
9
20
÷2
=
9
20
×
1
2

=
9
40


(4)8
8
9
÷[(7.35-5
1
12
)÷1.02]+79.5×
4
35

=8
8
9
÷[(7
7
20
-5
1
12
)÷
51
50
]+
158
2
×
4
35

=8
8
9
÷[
34
15
×
50
51
]+
316
35

=8
8
9
÷
20
9
+
316
35

=
80
9
×
9
20
+
316
35

=4+9
1
35

=13
1
35
点评:此题考查了分数的四则混合运算,注意运算顺序和运算法则.
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