题目内容

下面各题,怎样算简便就怎样算:
4296-1296÷12+812
51÷0.17+2.6×6
5
3
×
3
10
÷
5
6
+
1
6
4
7
×
5
18
+
3
7
÷
18
5
125×0.32×25
3
7
÷(
2
3
+
11
6
)×
3
10
分析:(1)先算除法,再算减法,最后算加法;
(2)先同时运算乘法和乘法,再算加法;
(3)先算乘法,再算除法,最后算加法;
(4)运用运用乘法分配律简算;
(5)先把0.32分解成0.8×0.4,再运用乘法结合律简算;
(6)先算小括号里面的加法,再算括号外的除法,最后算乘法.
解答:解:(1)4296-1296÷12+812,
=4296-108+812,
=4188+812,
=5000;

(2)51÷0.17+2.6×6,
=300+15.6,
=315.6;

(3)
5
3
×
3
10
÷
5
6
+
1
6

=
1
2
÷
5
6
+
1
6

=
3
5
+
1
6

=
23
30


(4)
4
7
×
5
18
+
3
7
÷
18
5

=(
4
7
+
3
7
)×
?5
18

=1×
5
18

=
5
18


(5)125×0.32×25,
=125×0.8×0.4×25,
=(125×0.8)×(0.4×25),
=100×10,
=1000;

(6)
3
7
÷(
2
3
+
11
6
)×
3
10

=
3
7
÷
15
6
×
3
10

=
3
7
×
2
5
×
3
10

=
6
35
×
3
10

=
9
175
点评:此题主要考查分数、整数、小数的四则混合运算的运算顺序和应用运算定律进行简便计算.
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