题目内容

脱式计算(能简便的要简便).
0.233-(0.133-
5
7
)+
2
7
4.62+9.9+5.38+0.1 4×0.6+0.6÷
1
4
0.38×7-
19
50
+4×
19
50
36×(
4
9
-
5
12
)+15
1
19
+
1
23
)×23×19.
分析:(1)先根据减法的性质去掉括号,再根据加法结合律进行计算;
(2)根据加法交换律和加法结合律进行计算;
(3)先把除法转化为乘法,再根据乘法分配律进行计算;
(4)把0.38化成分数,再根据乘法分配律进行计算;
(5)根据乘法分配律进行计算;
(6)根据乘法分配律进行计算.
解答:解:(1)0.233-(0.133-
5
7
)+
2
7

=0.233-0.133+
5
7
+
2
7

=(0.233-0.133)+(
5
7
+
2
7
),
=0.1+1,
=1.1;

(2)4.62+9.9+5.38+0.1,
=(4.62+5.38)+(0.1+9.9),
=10+10,
=20;

(3)4×0.6+0.6÷
1
4

=4×0.6+0.6×4,
=0.6×(4+4),
=0.6×8,
=4.8;

(4)0.38×7-
19
50
+4×
19
50

=
19
50
×7-
19
50
+4×
19
50

=
19
50
×(7-4+1),
=
19
50
×10,
=
19
5


(5)36×(
4
9
-
5
12
)+15,
=36×
4
9
-36×
5
12
+15,
=16-15+15,
=16;

(6)(
1
19
+
1
23
)×23×19,
=
1
19
×23×19+
1
23
×23×19,
=23+19,
=42.
点评:本题主要考查了学生在四则运算中灵活运用简便算法的计算能力.
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