题目内容

计算下面各题,能简算的要简算.
12×(
1
2
+
1
3
-
1
4
16
5
÷
5
9
×
5
16
4×0.8×0.25×12.5 2.94×
3
7
+4.06÷2
1
3
21
25
÷﹙
1
4
×
7
25
÷
1
10
(12-12×
2
3
)÷
3
4
分析:(1)根据乘法分配律进行计算;
(2)根据乘法交换律进行计算;
(3)根据乘法交换律和结合律进行计算;
(4)根据乘法分配律进行计算;
(5)先算乘法,再算小括号里面的除法,最后算括号外面的除法;
(6)根据乘法分配律进行计算.
解答:解:
(1)12×(
1
2
+
1
3
-
1
4
),
=12×
1
2
+12×
1
3
-12×
1
4

=6+4-3,
=10-3,
=7;

(2)
16
5
÷
5
9
×
5
16

=
16
5
×
5
16
÷
5
9

=1÷
5
9

=
9
5


(3)4×0.8×0.25×12.5,
=(4×0.25)×(0.8×12.5),
=1×10,
=10;

(4)2.94×
3
7
+4.06÷2
1
3

=2.94×
3
7
+4.06×
3
7

=(2.94+4.06)×
3
7

=7×
3
7

=3;

(5)
21
25
÷﹙
1
4
×
7
25
÷
1
10
﹚,
=
21
25
÷﹙
7
100
÷
1
10
﹚,
=
21
25
÷
7
10

=
6
5


(6)(12-12×
2
3
)÷
3
4

=12×(1-
2
3
)÷
3
4

=12×
1
3
÷
3
4

=4÷
3
4

=
16
3
点评:此题主要考查分数、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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