题目内容

脱式计算
(1)0.36+0.63×2.8-1
1
3

(2)1.5×5
1
3
-
3
4
+0.35
(3)1
5
52
×[0.625+(4
1
6
-2
4
15
)÷(1.83+
9
20
)]
(4)7
12
5
÷
18
25
-(
7
12
+2
5
8
)×2
5
14
分析:(1)先算乘法,再算加法,最后算减法;
(2)先算乘法,再算减法,最后算加法;
(3)先分别计算两个小括号里面的减法和加法,再算中括号里面的除法,同时把繁分数化简,最后用乘法分配律简算;
(4)先用乘法分配律简算,再算括号外的除法,最后算减法.
解答:解:(1)0.36+0.63×2.8-1
1
3

=0.36+1.764-1
1
3

=2.124-1
1
3

=
593
750


(2)1.5×5
1
3
-
3
4
+0.35,
=8-
3
4
+0.35,
=7.25+0.35,
=7.6;

(3)1
5
52
×[0.625+(4
1
6
-2
4
15
)÷(1.83+
9
20
)],
=1
5
52
×[0.625+1.9÷2.28],
=1
1
5
×[0.625+
5
6
],
=
6
5
×
5
8
+
6
5
×
5
6

=
3
4
+1,
=1
3
4


(4)7
12
5
÷
18
25
-(
7
12
+2
5
8
)×2
5
14

=7
12
5
÷
18
25
-(
7
12
×
33
14
+
21
8
×
33
14
),
=7
12
5
÷
18
25
-(
11
8
+
99
16
),
=7
12
5
÷
18
25
-
121
16

=
235
18
-
121
16

=
791
144
点评:此题主要考查分数、整数、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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