题目内容

怎样简便怎样算.
12.5+1.3×4

1
3
-
1
5
)×
5
6
5
7
×
2
3
+
2
7
÷
3
2
[1-(
3
8
+
1
4
)]÷
1
4
2-
3
7
-
4
7
(
4
9
+
5
13
+
5
9
+
8
13
9
100
分析:(1)先算乘法,再算加法;
(2)先算括号内的,再算括号外的;
(3)把除法改为乘法,运用乘法分配律简算;
(4)先算小括号内的,再算中括号内的,最后算括号外的;
(5)运用减法的性质简算;
(6)括号内运用加法交换律与结合律简算,最后算括号外的.
解答:解:(1)12.5+1.3×4,
=12.5+5.2,
=17.7;

(2)(
1
3
-
1
5
)×
5
6

=
2
15
×
5
6

=
1
9


(3)
5
7
×
2
3
+
2
7
÷
3
2

=
5
7
×
2
3
+
2
7
×
2
3

=(
5
7
+
2
7
)×
2
3

=1×
2
3

=
2
3


(4)[1-(
3
8
+
1
4
)]÷
1
4

=[1-
5
8
1
4

=
3
8
×4,
=
3
2


(5)2-
3
7
-
4
7

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

(6)(
4
9
+
5
13
+
5
9
+
8
13
)×
9
100

=[(
4
9
+
5
9
)+(
5
13
+
8
13
)]×
9
100

=[1+1]×
9
100

=2×
9
100

=
9
50
点评:此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简便计算.
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