题目内容

用递等式计算.(能简算的要简算)
(1)(32×106-352)÷38
(2)
13
16
×
5
6
+
5
6
×
3
16

(3)(
5
6
-
4
9
)×(0.25+
5
7
)

(4)(
4
5
+
1
4
3
7
-
3
40

(5)4
1
3
+5.375+5
2
3
+2
5
8

(6)7.8÷[32×(1-
5
8
)+3.6)
分析:(1)先算乘法,再算减法,最后算除法;
(2)根据乘法分配律进行计算;
(3)先算减法和加法,再算乘法;
(4)先算加法,再算乘法,最后算减法;
(5)根据加法交换律和结合律进行计算;
(6)先算减法,再算乘法,再算加法,最后算除法.
解答:解:
(1)(32×106-352)÷38,
=(3392-352)÷38,
=3040÷38,
=80;

(2)
13
16
×
5
6
+
5
6
×
3
16

=(
13
16
+
3
16
)×
5
6

=1×
5
6

=
5
6


(3)(
5
6
-
4
9
)×(0.25+
5
7
)

=
7
18
×
27
28

=
3
8


(4)(
4
5
+
1
4
3
7
-
3
40

=
21
20
×
3
7
-
3
40

=
9
20
-
3
40

=
3
8


(5)4
1
3
+5.375+5
2
3
+2
5
8

=(4
1
3
+5
2
3
)+(5.375+2
5
8
),
=10+8,
=18;

(6)7.8÷[32×(1-
5
8
)+3.6)

=7.8÷[32×
3
8
+3.6],
=7.8÷[12+3.6],
=7.8÷15.6,
=0.5.
点评:此题主要考查整数、分数、小数的四则混合运算的运算顺序和应用运算定律进行简便计算.
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