题目内容

脱式计算(能简算的要简算)
2
3
×(1-
1
8
-
5
8
4
7
÷[
1
2
×(
1
7
+
3
7
)]
4
7
÷6+
3
7
×
1
6
8-
6
13
-
7
13
5
6
+
3
8
)÷(
5
6
-
3
8
5
6
+
3
4
-
1
2
)×12.
分析:(1)根据连减的性质进行计算;
(2)先算加法,再算乘法,最后算除法;
(3)根据乘法分配律进行计算;
(4)根据连减的性质进行计算;
(5)先算加法和减法,再算除法;
(6)根据乘法分配律进行计算.
解答:解:(1)
2
3
×(1-
1
8
-
5
8
),
=
2
3
×[1-(
1
8
+
5
8
)],
=
2
3
×[1-
1
4
],
=
2
3
×
3
4

=
1
2


(2)
4
7
÷[
1
2
×(
1
7
+
3
7
)],
=
4
7
÷[
1
2
×
4
7
],
=
4
7
÷
2
7

=2;

(3)
4
7
÷6+
3
7
×
1
6

=
4
7
×
1
6
+
3
7
×
1
6

=(
4
7
+
3
7
)×
1
6

=1×
1
6

=
1
6


(4)8-
6
13
-
7
13

=8-(
6
13
+
7
13
),
=8-1,
=7;

(5)(
5
6
+
3
8
)÷(
5
6
-
3
8
),
=
29
24
÷
11
24

=
29
11


(6)(
5
6
+
3
4
-
1
2
)×12,
=
5
6
×12+
3
4
×12-
1
2
×12,
=10+9-6,
=19-6,
=13.
点评:四则运算,先弄清运算顺序,然后再进行计算即可,能简算的要简算.
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