题目内容

(2012?华亭县模拟)计算﹙用你喜欢的方法﹚
5
18
÷5+
1
18
×
1
5
0.25×1.25×320 19.98×37-199.8×1.9+1998×0.82
1
6
-
1
4
+
1
3
﹚×12
[1-﹙
1
4
+
3
8
﹚]÷
3
4
[
9
16
+0÷﹙
1
7
+
7
8
﹚]×
4
3
20-[﹙
1
2
+
1
3
﹚÷
5
6
×1.2
4
7
×[15×﹙
1
3
-
3
10
﹚+
7
8
分析:(1)根据乘法分配律进行简算;
(2)把320拆成40×8,然后再根据乘法交换律和结合律进行简算;
(3)根据乘法分配律进行简算;
(4)根据乘法分配律进行简算;
(5)先算小括号里面的加法,再算中括号里面的减法,最后算除法;
(6)先算0÷﹙
1
7
+
7
8
﹚=0,再算加法,最后算除法;
(7)先算小括号里面的加法,再算中括号里面的除法,再算加法,最后算乘法;
(8)先算小括号里面的减法,再算中括号里面的乘法,再算中括号里面的加法,最后算乘法.
解答:解:(1)
5
18
÷5+
1
18
×
1
5

=
5
18
×
1
5
+
1
18
×
1
5

=(
5
18
+
1
18
)×
1
5

=
1
3
×
1
5

=
1
15


(2)0.25×1.25×320,
=0.25×1.25×(40×8),
=(0.25×40)×(1.25×8),
=10×10,
=100;

(3)19.98×37-199.8×1.9+1998×0.82,
=1998×0.37-1998×0.19+1998×0.82,
=1998×(0.37-0.19+0.82),
=1998×1,
=1998;

(4)﹙
1
6
-
1
4
+
1
3
﹚×12,
=
1
6
×12-
1
4
×12+
1
3
×12,
=2-3+4,
=3;

(5)[1-﹙
1
4
+
3
8
﹚]÷
3
4

=[1-
5
8
3
4

=
3
8
÷
3
4

=
1
2


(6)[
9
16
+0÷﹙
1
7
+
7
8
﹚]×
4
3

=[
9
16
+0]×
4
3

=
9
16
×
4
3

=
3
4


(7)20-[﹙
1
2
+
1
3
﹚÷
5
6
]×1.2,
=20-[
5
6
÷
5
6
]×1.2,
=20-1×1.2,
=20-1.2,
=18.8;

(8)
4
7
×[15×﹙
1
3
-
3
10
﹚+
7
8
],
=
4
7
×[15×
1
30
+
7
8
],
=
4
7
×[
1
2
+
7
8
],
=
4
7
×
11
8

=
11
14
点评:四则运算,先弄清运算顺序,然后再进一步计算即可;能简算的要简算.
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