题目内容

(2005?铜山县)脱式计算.
25×124+3600÷240    5.02-1.25-2.75 
4
5
-
1
4
)÷
11
12
+
1
6
1-(4.3×0.2-0.106) [1-(
2
5
+
1
3
)]÷
2
5
 
1
6
+
1
4
-
1
3
)×12.
分析:(1)同时运算乘法和除法,再算加法;
(2)运用减法的性质简算;
(3)先算小括号里面的减法,再算括号外的除法,最后算加法;
(4)先算小括号里面的乘法,再算小括号里面的减法,最后算括号外的减法;
(5)先算小括号里面的加法,再算中括号里面的减法,最后算括号外的除法;
(6)运用乘法分配律简算.
解答:解:(1)25×124+3600÷240,
=3100+15,
=3115;

(2)5.02-1.25-2.75,
=5.02-(1.25+2.75),
=5.02-4,
=1.02;

(3)(
4
5
-
1
4
)÷
11
12
+
1
6

=
11
20
÷
11
12
+
1
6

=
3
5
+
1
6

=
23
30


(4)1-(4.3×0.2-0.106),
=1-(0.86-0.106),
=1-0.754,
=0.246;

(5)[1-(
2
5
+
1
3
)]÷
2
5

=[1-
11
15
]÷
2
5

=
4
15
÷
2
5

=
2
3


(6)(
1
6
+
1
4
-
1
3
)×12,
=
1
6
×12+
1
4
×12-
1
3
×12,
=2+3-4,
=1.
点评:本题考查了四则混合运算,注意运算顺序和运算法则,灵活运用所学的运算定律进行简便计算.
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