题目内容

57.26-(5.26-1.5) 64×1.25×2.5         
4
9
+
2
15
)÷
2
15
4.8×3.9+6.1×4
4
5
12×(
1
6
+
1
4
-
1
3
)      
1
4
+
4
5
)÷
7
3
+
7
10
34.5×9.23-34.5+1.77×34.5         2-
6
13
÷
9
26
-
2
3
分析:(1)去掉括号,根据减去两个数的差,等于减去被减数、加上减数来计算;
(2)把64拆分为8×8的形式,然后运用乘法分配律进行简算;
(3)根据除以一个分数,等于乘这个分数的倒数,把除法转化为乘法,然后运用乘法分配律进率简算;
(4)运用乘法分配律,提取4.8进行简算;
(5)运用乘法分配律,去括号,进行简算;
(6)根据分数四则混合运算的运算顺序进行计算即可;
(7)运用乘法分配律进行简算;
(8)根据分数四则混合运算的运算顺序,先算除法,进而根据减法的性质进行简算.
解答:解:(1)57.26-(5.26-1.5),
=57.26-5.26+1.5,
=52+1.5,
=53.5;

(2)64×1.25×2.5,
=8×8×1.25×2.5,
=(8×1.25)×(8×2.5),
=10×20,
=200;

(3)(
4
9
+
2
15
)÷
2
15

=(
4
9
+
2
15
)×
15
2

=
4
9
×
15
2
+
2
15
×
15
2

=
10
3
+1,
=4
1
3


(4)4.8×3.9+6.1×4
4
5

=(3.9+6.1)×4.8,
=10×4.8,
=48;

(5)12×(
1
6
+
1
4
-
1
3
),
=12×
1
6
+12×
1
4
-12×
1
3

=2+3-4,
=1;

(6)(
1
4
+
4
5
)÷
7
3
+
7
10

=(
1
4
+
4
5
)×
3
7
+
7
10

=
21
20
×
3
7
+
7
10

=
9
20
+
14
20

=1
3
20


(7)34.5×9.23-34.5+1.77×34.5,
=34.5×(9.23-1+1.77),
=34.5×10,
=345;

(8)2-
6
13
÷
9
26
-
2
3

=2-
6
13
×
26
9
-
2
3

=2-
4
3
-
2
3

=2-(
4
3
+
2
3
),
=0.
点评:本题考查了整数、小数、分数的四则混合运算顺序,同时也考查了运算定律的运用.
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