题目内容

脱式计算:
90.8+5.4÷0.27-80.9     
21
8
-(
2
3
+
3
4
-
5
6
)   
1
4
+
3
8
)÷(1-
3
4
×
2
5
6.3×[(1.4+
1
3
)÷1.12-
1
6
]
11
3
×3÷[12×(3.75+
8
3
)].
分析:根据小数、分数四则混合运算的运算顺序,按照小数、分数四则运算的计算法则进行简算.
解答:解:(1)90.8+5.4÷0.27-80.9,
=90.8+20-80.9,
=110.8-80.9,
=29.9;

(2)
21
8
-(
2
3
+
3
4
-
5
6
),
=
21
8
-(
8
12
+
9
12
-
10
12
),
=
21
8
-
7
12

=
63
24
-
14
24

=
49
24

=2
1
24


(3)(
1
4
+
3
8
)÷(1-
3
4
×
2
5
),
=
5
8
÷(1-
3
10
),
=
5
8
÷
7
10

=
5
8
×
10
7

=
25
28


(4)6.3×[(1.4+
1
3
)÷1.12-
1
6
],
=6.3×[(1
2
5
+
1
3
)÷1
3
25
-
1
6
],
=6.3×[
26
15
×
25
28
-
1
6
],
=6.3×[
65
42
-
7
42
],
=6.3×
29
21

=8.7;

(5)
11
3
×3÷[12×(3.75+
8
3
)].
=11÷[12×(3
3
4
+
8
3
)],
=11÷[12×
77
12
],
=11÷77,
=
11
77

=
1
7
点评:此题主要考查小数、分数四则混合运算,目的是使学生牢固掌握运算顺序和计算法则,能够正确迅速地进行简算.
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