题目内容

计算.(能简算的要用简便方法计算)
(1)
4
9
÷6+
5
9
×
1
6
(2)12×(1-
2
3
÷
3
4
(3)(
21
26
×
13
7
+
1
2
)÷
2
5
(4)
8
9
×[
3
4
-(
7
16
-
1
4
)]
(5)10-(39÷
13
3
+
9
13
(6)2-(
1
4
+
1
7
)×
4
11
分析:(1)根据乘法分配律进行简算;
(2)先算除法,再算减法,最后算乘法;
(3)先算乘法,再算加法,最后算除法;
(4)中括号里面的根据减法性质进行简算,最后算乘法;
(5)先算除法,再算加法,最后算减法;
(6)先算加法,再算乘法,最后算加法.
解答:解:
(1)
4
9
÷6+
5
9
×
1
6

=
4
9
×
1
6
+
5
9
×
1
6

=(
4
9
+
5
9
)×
1
6

=
1
6


(2)12×(1-
2
3
÷
3
4
),
=12×(1-
8
9
),
=12×
1
9

=
4
3


(3)(
21
26
×
13
7
+
1
2
)÷
2
5

=(
3
2
+
1
2
)÷
2
5

=2÷
2
5

=5;

(4)
8
9
×[
3
4
-(
7
16
-
1
4
)],
=
8
9
×[
3
4
-
7
16
+
1
4
],
=
8
9
×[
3
4
+
1
4
-
7
16
],
=
8
9
×[1-
7
16
],
=
8
9
×
9
16

=
1
2


(5)10-(39÷
13
3
+
9
13
),
=10-(9+
9
13
),
=10-9
9
13

=
4
13


(6)2-(
1
4
+
1
7
)×
4
11

=2-
11
28
×
4
11

=2-
1
7

=
13
7
点评:考查了运算定律与简便运算,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律简便计算.
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