题目内容

(2009?华亭县)脱式计算,能简算的要简算.
3
4
×(9-
7
9
-
2
9
8
13
÷7+
1
7
×
6
13
125×3.2×25
3
3
5
×3.7+3.6+
3
5
×3
3
5
2
7
+
1
5
)×7×5
4-[3.75×(1.2-
1
3
)+
3
4
].
分析:(1)先把括号里面的算式运用减法性质,再依据四则运算计算方法解答,
(2)(4)(5)运用乘法分配律解答,
(3)化3.2=8×0.4,再运用乘法结合律解答,
(6)依据四则运算计算方法:先算第二级运算,再算第一级运算,如果只含有同一级运算,按照从左到右顺序计算,有括号先算括号里面的解答.
解答:解:(1)
3
4
×(9-
7
9
-
2
9
),
=
3
4
×[9-(
7
9
+
2
9
)],
=
3
4
×
[9-1],
=
3
4
×
8,
=6;

(2)
8
13
÷7+
1
7
×
6
13

=(
8
13
+
6
13
)×
1
7

=
14
13
×
1
7

=
2
13


(3)125×3.2×25,
=(125×8)×(0.4×25),
=1000×10,
=10000;

(4)3
3
5
×3.7+3.6+
3
5
×3
3
5

=3
3
5
×(3.7+1+0.6),
=3
3
5
×
5.3,
=19.08;

(5)(
2
7
+
1
5
)×7×5,
=
2
7
×7×5+
1
5
×7×5,
=10+7,
=17;

(6)4-[3.75×(1.2-
1
3
)+
3
4
],
=4-[3.75×
13
15
+
3
4
],
=4-[
13
4
+
3
4
],
=4-4,
=0.
点评:本题考查知识点:(1)四则运算计算方法,(2)正确运用简便算法.
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