题目内容

计算下面各题,能简便的要用简便方法计算.
7
9
÷
1
27
÷
7
4
5
7
×6+
5
7
5
9
×
3
8
÷
5
36
3
4
-
5
7
)÷
1
56
4
9
-
7
16
×
4
9
(0.25+
5
16
×
12
5
)÷
3
5
5
13
÷7+
1
7
×
8
13
1
3
-
1
4
)÷
1
6
+
1
2
分析:(1)(3)把除法改为乘法,约分计算;
(2)(5)运用乘法分配律简算;
(4)先算括号内的,再算括号外的;
(6)先算括号内的乘法,再算括号内的加法,最后算括号外的;
(7)把除法改为乘法,运用乘法分配律简算;
(8)先算括号内的,再算括号外的除法,最后算加法.
解答:解:(1)
7
9
÷
1
27
÷
7
4

=
7
9
×27×
4
7

=12;

(2)
5
7
×6+
5
7

=
5
7
×(6+1),
=
5
7
×7,
=5;

(3)
5
9
×
3
8
÷
5
36

=
5
9
×
3
8
×
36
5

=
3
2


(4)(
3
4
-
5
7
)÷
1
56

=(
3
4
-
5
7
)×56,
=
3
4
×56-
5
7
×56,
=42-40,
=2;

(5)
4
9
-
7
16
×
4
9

=(1-
7
16
)×
4
9

=
9
16
×
4
9

=
1
4


(6)(0.25+
5
16
×
12
5
)÷
3
5

=(
1
4
+
3
4
)×
5
3

=1×
5
3

=
5
3


(7)
5
13
÷7+
1
7
×
8
13

=
5
13
×
1
7
+
1
7
×
8
13

=
1
7
×(
5
13
+
8
13
),
=
1
7
×1,
=
1
7


(8)(
1
3
-
1
4
)÷
1
6
+
1
2

=
1
12
×6+
1
2

=
1
2
+
1
2

=1.
点评:此题考查了四则混合运算,注意运算顺序,运用运算定律灵活简算.
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