题目内容

下面各题,怎样简便就怎样算.
4×4.9×25           
5
6
×
3
4
+
1
6
÷
4
3
            
7.6×99               
1
8
÷[
1
5
×(
2
5
+
1
10
)]
720÷15÷6           
2
3
+
2
3
÷
1
6
              
2
5
+
3
7
+0.6+
4
7
            
(6+
3
8
)÷3.
分析:(1)运用乘法的结合律及交换律进行计算.
(2)(3)(8)运用乘法的分配律计算,使计算更加简便.
(4)(6)根据四则混合运算的顺序进行计算,先算括号内部的再计算括号外面的,没有括号的先算乘除再算加减.
(5)一个数连续除以两个数,可以用这个数除以这两个数的积.
(7)把0.6化成分数,在运用加法的结合律及交换律进行计算.
解答:解:(1)4×4.9×25,
=(4×25)×4.9,
=4.9×100,
=490;

(2)
5
6
×
3
4
+
1
6
÷
4
3

=
5
6
×
3
4
+
1
6
×
3
4

=
3
4
×
5
6
+
1
6
),
=
3
4
×1,
=
3
4


(3)7.6×99,
=7.6×(100-1),
=7.6×100-7.6,
=760-7.6,
=752.4;

(4)
1
8
÷[
1
5
×(
2
5
+
1
10
)],
=
1
8
÷[
1
5
×(
4
10
+
1
10
)];
=
1
8
÷
1
10

=
1
8
×10,
=
5
4

=1
1
4


(5)720÷15÷6,
=720÷(15×6),
=720÷90,
=8;
(6)
2
3
+
2
3
÷
1
6

=
2
3
+
2
3
×6,
=
2
3
+
4,
=4
2
3


(7)
2
5
+
3
7
+0.6+
4
7

=(
2
5
+
3
5
)+(
3
7
+
4
7
),
=1+1,
=2;

(8)(6+
3
8
)÷3,
=(6+
3
8
)×
1
3

=6×
1
3
+
3
8
×
1
3

=2+
1
8

=2
1
8
点评:完成本题要注意分析式中数据,选择运用合适的简便方法计算.
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